User:ColorfulGalaxy/Encyclopedia of numbers
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This article is made to celebrate the 50th anniversary of LifeLine. It is inspired by this article, which did not mention imaginary numbers. CA-related entries are preferred.
| Contents |
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Choose a set: C-R | (-∞, 0) | [0, 4) | [4, 10) | [10, 32) | [32, 100) | [100, 317) |
Legend
Positive prime numbers
Number (excluding positive prime numbers) whose absolute value is an integer
Number whose absolute value is a rational number that is not integer
Number whose absolute value is an algebraic irrational number
Number whose absolute value is a transcendental real number
Unknown/approximation
[0,4)
0
- ... is the smallest non-negative number.
- ... is the population of Vacuum.
- ... is the final population of sparks.
- ... is the lifespan of still lifes / oscillators / spaceships when they're treated as methuselahs.
- ... is the largest whole number that can result from interpreting the Population signature of a non-stable oscillator as an arithmetic expression. More precisely, these oscillators are the constant-population period-2 oscillators such as the blinker.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a pulsar in Life. (xp0_vhv)
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Cistercian Digits font, evolves into a pentadecathlon in Life.
- ... is the number of distinct Gardens of Eden among polyominoes with 5 or less cells.
- ... is the number of sparks among polyominoes with 3 or 4 cells in Life.
- ... is the number of distinct induction coils among polyominoes with 1, 2 and 5 cells.
- ... is the determinant of the "eater 2" (7*7) matrix, regardless of orientation. [citation needed]
See also:
0.0287115
- ... is the density of ash in a soup on a torus.
0.1
- ... was the version number of Golly's first version.
0.25
0.25-0.3
- ... is the approximate density of a spacedusty oscillator or spaceship.
0.305597
- ... is the temperature of ash in a soup on a torus.
49/153 (0.3203)
- ... is density of the least dense known Garden of Eden.
1/3
- ... as c/3, is the maximum diagonal speed in any totalistic or INT rule containing at least one member of each of {B2c,B3i}, {B2e,B3a} and {S4w,S5a} and none of those of {B0,B1e,B1c,B2a}.
3/8
- ... is the initial density chosen for Achim Flammenkamp's census.
4/9
- ... is the density of any stable 3×3 agar.
1/2
- ... is the default soup density on Catagolue.
- ... is the maximum density of a still life agar on an infinite grid.
- ... is conjectured to be the maximum average density of an oscillating agar on an infinite grid (which is known to be 12 ≤ d ≤ 11762087 ≈ 0.5634...)
5/9
- ... is the speed of the signal that travels in 5c/9 wire.
1176/2087 (≈0.563)
- ... is the current known upper bound of the maximum average density of an oscillating agar.
8/13
- ... was the known upper bound of the maximum average density of an oscillating agar until 2024.
23/36
- ... is the rulestring for HighLife in S/B notation (before B/S notation became common), interpreted literally as division.
2/3
- ... is the approximate proportion of blinkers that form from traffic lights.
- ... is the speed of many against the grain spaceships.
- ... is the speed of the signal that travels in 2c/3 wire.
- ... is the speed of some blinker fuses.
- ... is an exponent of one possible growth rate (t2/3).
4/5
- ... is the volatility of the blinker, toad, and clock.
- ... is the fuse speed in the Fermat prime calculator.
0.91
- ... is one of only two Golly versions to not be a multiple of 0.1.
0.95
- ... is one of only two Golly versions to not be a multiple of 0.1.
95/98
- ... is the volatility of the period-7 oscillator with the highest known volatility.
1
- ... is the smallest positive whole number.
- ... is the period of a still life.
- ... is the number of 5-cell strict still lifes.
- ... is the number of 8-cell pseudo still lifes.
- ... is the number of diagonal spaceships that have appeared naturally.
- ... is the number of distinct haplominoes.
- ... is the number of distinct dominoes.
- ... is the number of inductees among triominoes.
- ... is the "history envelope size growth per generation" of the glider in Life.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a traffic light in Life. (xp0_v)
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Cistercian Digits font, evolves into a boat in Life.
See also:
1.097
- ... is the average number of working eater 2 catalyses (where fishhooks don't work) in a 12×12 soup according to a search.
1.15
- ... is the boundary threshold of the "power" variable between "PATHOLOGICAL" (below) and "zz_REPLICATOR" (above) in apgsearch.
1.292
- ... is the average number of working snake catalyses in a 12×12 soup according to a search.
√2 (1.414...)
- ... is the literal speed ratio between e.g. c/4o and c/4d using Euclidean distance. Also the ratio between c/2o and c/4d using Euclidean distance.
φ (1.618...)
- ... is the ratio between number of possibilities for a one-thick pattern with N+1 cells and N cells, ignoring lines of 1 and 2 that die out immediately.
1.65
- ... is the boundary threshold of the "power" variable between "zz_REPLICATOR" (below) and "zz_LINEAR" (above) in apgsearch.
2
- ... is the smallest positive prime number.
- ... is the minimum number of rotor cells in an oscillator in Life.
- ... is the minimum number of cells in an oscillator in a non-strobing Life-like rule.
- ... is the number of triominoes.
- ... is the number of 4-cell strict still lifes.
- ... is the period of the blinker, toad, and spark coil.
- ... is the period of the lowest-period spaceship.
- ... neighboring cells allows them to survive, but not be born.
- ... is the minimum number of gliders needed for a collision.
- ... is the mod of all four common spaceships.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a quasi still life in Life. (xp0_tln)
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Cistercian Digits font, evolves into a loaf in Life.
- ... is Nathaniel Johnston's forum user ID.
See also:
2.1
- ... is the first Golly version to be released after the opening of the forums in late 2008.
- ... is the boundary threshold of the "power" variable between "zz_LINEAR" (below) and "zz_EXPLOSIVE" (above) in apgsearch.
≈2.214
≈2.46
- ... is the ratio between strict still lifes with N+1 cells and N cells.
≈2.56
- ... is the ratio between pseudo still lifes with N+1 cells and N cells.
2.7
- ... was the last Python 2 version.
2.75
- ... is the average glider cost of the four 7-cell still lifes.
≈2.77
- ... is the ratio of block-laying switch engines to glider-producing switch engines in natural soups.
2.8
- ... was the last Golly 2 version.
2.9
- ... is the boundary threshold of the "power" variable between "zz_EXPLOSIVE" (below) and "zz_QUADRATIC" (above) in apgsearch.
3
- ... is the smallest positive odd prime number.
- ... neighboring cells allows them to survive and be born in Life.
- ... is the period of the pulsar, jam, and caterer.
- ... is the population of the smallest oscillator in Life.
- ... is the population of the smallest spaceship in a non-strobing INT rule.
- ... is the population of the smallest induction coil in Life.
- ... is the number of induction coils among tetrominoes.
- ... is the population of the smallest known Garden of Eden in Life without death.
- ... is the number of beehive predecessors among the tetrominoes in Life.
- ... is the minimum number of cells that doesn't result in death at the end per pre-block and blinker.
- ... is the minimum number of gliders for infinite growth in Life.
- ... is the largest positive integer n such that there exists no n-cell stable pattern that can be cleanly destructed by one glider in Life.
| 3 is the largest positive integer n such that there exists no n-cell stable pattern that can be cleanly destructed by one glider in Life. (click above to open LifeViewer) |
See also:
≈3.04
- ... is the ratio between quasi still lifes with N+1 cells and N cells.
≈3.194
≈3.198
3.2
- ... is the average glider cost of the five 6-cell still lifes.
≈3.237
- ... is the inverse frequency of the block in a Catagolue soup.
3.4
- ... was the last Golly 3 version.
≈3.486
- ... is the inverse frequency of the blinker in a Catagolue soup.
32/9 (3.5̅)
- ... is the average glider cost of the nine 8-cell still lifes.
≈3.796
[4,10)
4
- ... is the smallest positive composite number.
- ... is the minimum number of cells that can form a pond or traffic light.
- ... is the population of the smallest still life in Life.
- ... is the population of the smallest asymmetric polyomino (Tail).
- ... is the population of the block, which is:
- the smallest polyomino with D8_4 symmetry.
- the smallest still life in Life with D8_4 symmetry.
- the smallest pattern that stays stable in Life but not in B2a3/S23.
- the smallest pattern that stays stable in Life but not in B3/S23-a.
- ... is the population of the tub, which is:
- the smallest still life in Life with D8_1 symmetry.
- the smallest pattern that stays stable in Life but not in B1e3/S23.
- the smallest pattern that stays stable in Life but not in B2e3/S23.
- the smallest pattern that stays stable in Life but not in B3/S2-c3.
- the smallest pattern that stays stable in Life but not in B34e/S23.
- ... is the number of standard spaceships.
- ... is the perimeter of the dot.
- ... is the period of all four standard spaceships.
- ... is the period of mold and mazing.
- ... is the heat of the glider.
- ... is the number of 7-cell strict still lifes.
- ... is the number of objects in a traffic light, blockade, and honey farm.
- ... is the recovery time of the fishhook eating a glider.
- ... is the largest possible quotient between an oscillator's period and mod.
- ... has more than one oscillator with this period tied for smallest.
- ... is the outer-totalistic rule integer of the rule OCA:Seeds.
≈4.802
5
- ... is the number of 6-cell strict still lifes.
- ... is the population of the smallest still life in Star Wars (345/2/4).
- ... is the number of sparks among pentominoes in Life.
- ... is the lifespan of the longest-lasting spark among pentominoes in Life.
- ... is the minimum number of cells that allows significant growth (R-pentomino and pi-heptomino grandparent).
- ... is the population of the boat, which is:
- the only 5-cell still life in Life.
- the smallest still life in Life with D2_x symmetry.
- the smallest pattern that stays stable in Life but not in B3/S2-e3.
- the smallest pattern that stays stable in Life but not in B3/S23-n.
- the smallest pattern that stays stable in Life but not in B35c/S23.
- ... is the number of distinct triplets.
- ... is the number of tetrominoes where both reflection and rotation are considered the same object.
- ... is the number of generations between the longest-lasting 6-cell object and the R-pentomino that it becomes.
- ... is the period of octagon 2 and fumarole.
- ... is the number of objects in the ash of Octomino II.
- ... is the minimum height of a period-3 spaceship in Life.
- ... is the lifespan of the "cis-glider-tie" in Life.
- ... neighboring cells allowing birth is the difference between Life and Grounded Life.
- ... is the only numerical digit that can not begin (after the underscore) an apgcode of a stable pattern (including constellations) in Just Friends.
| 5 is the only numerical digit that can not begin (after the underscore) an apgcode of a stable pattern (including constellations) in Just Friends. (click above to open LifeViewer) |
5.548
- ... is the average number of working fishhook catalyses in a 12×12 soup according to a search.
≈5.754
6
- ... is the smallest positive composite squarefree number.
- ... is the number of cells in the toad.
- ... cells does not last much more than the longest 5-cell object (1108 generations versus 1103).
- ... is the number of cells in both phases of the toad and one phase of the beacon.
- ... is the period of unix.
- ... is the number of distinct 8-cell quasi still lifes.
- ... is the smallest trivial oscillator period.
- ... neighboring cells allowing birth is the difference between Life and HighLife.
- ... is the minimum number of cells for any predecessor of lumps of muck, teardrop,butterfly, honey farm, I-heptomino, E-heptomino, F-heptomino, blonk-tie, and U-turner.
- ... cells in a row produces a 12-generation spark.
- ... is the number of blinkers in an interchange.
- ... is the number of octominoes with holes.
- ... is the population of the smallest still life in Life with no axes of symmetry.
- ... is the population of the smallest still life in Life with D4_x1 symmetry (ship).
- ... is the population of the smallest still life in Life with D4_x4 symmetry (barge).
- ... is the population of the smallest still life in Life with D4_+2 symmetry (beehive).
- ... is the population of the smallest still life in Life with C2_2 symmetry (aircraft carrier).
- ... is the population of the smallest still life in Life with C2_4 symmetry (snake).
- ... is the population of the smallest known G0 glider pair eater (the snake using the boat-bit reaction, which is smaller than the smallest glider eater).
- ... is the population of the smallest pattern that stays stable in Life but dies in HighLife.
- ... is the population of the smallest pattern that stays stable in Life but not in B3/S2-k3 (beehive).
- ... is the population of the smallest pattern that stays stable in Life but not in B35y/S23 (beehive).
- ... is the population of the smallest pattern that stays stable in Life but not in B36n/S23 (ship).
- ... is the population of the smallest pattern that stays stable in Life but not in B3/S23-c (barge).
- ... is the population of the smallest pattern that stays stable in Life but not in B2k3/S23 (aircraft carrier).
- ... is the population of the smallest pattern that stays stable in Life but not in B34q/S23 (aircraft carrier).
- ... is the population of the smallest pattern that stays stable in Life but not in B3/S2-a3 (aircraft carrier and snake).
- ... is the population of the smallest pattern that stays stable in Life but not in B2c3/S23 (snake).
- ... is the population of the smallest pattern that stays stable in Life but not in B34r/S23 (snake).
- ... is the population of the smallest pattern that stays stable in Life but does not tessellate the plane. (ship)
- ... is the number of isotropic transitions possible for 2 or 6 neighbors (a, c, e, i, n, k).
- ... is the smallest known number of gliders to synthesize quadratic growth in Life (see glider synthesis page).
- ... is the lifespan of the "trans-glider-tie" in Life.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Cistercian Digits font, evolves into a spark in Life.
| The six distinct 8-cell quasi still lifes. (click above to open LifeViewer) |
≈6.109
- ... is the inverse frequency of the beehive in a Catagolue soup.
≈6.3
- ... is the adjustment needed to frequency class when using the G1 census rather than C1.
7
- ... is the highest-period searched-for pipsquirter known.
- ... has more than one known oscillator with this period tied for smallest: burloaferimeter, 28P7.1, 28P7.2 and 28P7.3.
- ... is the period of the loafer.
- ... is the number of 10-cell pseudo still lifes.
- ... is the number of currently known distinct 5-cell glider predecessors (including the two distinct phases of the glider).
- ... is the population of the smallest still life in Life with C2_1 symmetry (long snake).
- ... is the population of the smallest still life in Life with C1 symmetry (fishhook).
- ... is the population of the smallest pattern that stays stable in Life but not in B3/S2-n3 (loaf and long snake).
- ... is the population of the smallest pattern that stays stable in Life but not in B34j/S23 (loaf).
- ... is the population of the smallest pattern that stays stable in Life but not in B35k/S23 (loaf).
- ... is the population of the smallest pattern that stays stable in Life but not in B3/S23-r (fishhook).
- ... is the population of the smallest pattern that stays stable in Life but not in B34a/S23 (fishhook).
- ... is the population of the smallest pattern that stays stable in Life but not in B34n/S23 (fishhook).
- ... is the population of the smallest pattern that stays stable in Life but not in B35q/S23 (fishhook).
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a half-blockade in Life. (xp0_11v)
- ... is the population of the smallest pure glider generator among polyominoes in Life.
- ... is the population of the smallest (in terms of bounding box) counterexample to the Coolout Conjecture in Life.
- ... is the smallest oscillator period (in Life) not to have appeared in C1, although it has appeared in G1.
- ... is in the apgcode of the blinker (xp2_7).
- ... is the only numerical digit that can not begin (after the underscore) an apgcode of a still life in Life.
- ... neighboring cells allowing birth is the difference between Life and DryLife.
- ... is the number of unknown fate heptominoes in Lifeline Volume 1.
- ... is the number of generations in many 2-cell traffic light push reactions.
| 7 is the only numerical digit that can not begin (after the underscore) an apgcode of a still life in Life. (click above to open LifeViewer) |
23/3
- ... is the rulestring for Life in S/B notation (before B/S notation became common), interpreted literally as division.
8
- ... is the smallest positive composite cubic number.
- ... is the period of figure eight and blocker.
- ... is the highest symmetry order on a square grid.
- ... is the number of objects in the ash of a line of 8 cells.
- ... is the maximum number of neighbors a cell can have.
- ... is the minimum population of any predecessor of an LWSS.
- ... is the population of the smallest known pattern that stays stable in Life but not in B2i3/S23 (orthogonal tub-on-tub: a quasi still life).
- ... is the population of the smallest known pattern that stays stable in Life but not in B2n3/S23 (xs8_330oo: a quasi still life).
- ... is the population of the smallest known pattern that stays stable in Life but not in B34i/S23 (bi-block).
- ... is the population of the smallest known pattern that stays stable in Life but not in B34w/S23 (pond).
- ... is the population of the smallest known pattern that stays stable in Life but not in B34k/S23 (mango and shillelagh).
- ... is the population of the smallest strict still life that can not be destructed cleanly by one glider.
- ... is the output duration of a pi-to-pi conduit (PT8P).
- ... is the minimum number of cells that allows arbitrarily long settling time, by making a glider hit a faraway blinker.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a spark in Life. (xp0_vlv)
- ... is the lifespan of the "trans-blinker-tie" in Life.
- ... is the lowest positive integer n for which an elementary c/n spaceship is possible but not known.
- ... used to be the number of hours between Catagolue updates.
- ... is the smallest n for which (a,b)c/n is not known for all possible a and b in INT rules.
9
- ... is the largest single-digit number.
- ... is the period of snacker and worker bee.
- ... is the smallest period oscillator that hasn't appeared in an asymmetric soup.
- ... is the number of 8-cell strict still lifes.
- ... is the number of distinct known 3-cell Garden of Eden patterns in Life without death.
- ... is the minimum population of an LWSS.
- ... is the highest-period usable intentional domino sparker produced with a search program looking for a specific period (104P9).
- ... is the number of generations it takes for xp0_136c to gain its diagonal gutter.
- ... is the population of rabbits.
- ... is the population of the smallest pattern that is a strict still life in Life but neither a still life nor a spark in HighLife.
- ... is the population of the smallest known pattern that stays stable in Life but not in B3/S2-i3 (Integral sign).
- ... is the population of the smallest known pattern that stays stable in Life but not in B36i/S23 (hat).
- ... is the lifespan of the "trans-tail-tie" (fleet predecessor) in Life.
[10,32)
10
- ... is the smallest 2-digit number.
- ... is the period of 55P10 and p10 domino fountain, useful sparkers.
- ... is the period of the copperhead spaceship.
- ... generations of the R-pentomino sequence results in a polyomino with 11 cells.
- ... is the lifespan of the longest-lived heptomino diehard in Life. There are two heptominoes like this, and their apgcodes are anagrams of each other.[citation needed]
- ... is the minimum population required for infinite growth.
- ... is the number of 9-cell strict still lifes.
- ... cells in a row forms a pentadecathlon.
- ... is the length and height of the hollow square that evolves into Lake 2.
- ... is the population of the smallest known pure glider generator whose initial configuration consists of isolated dots.
- ... is the number of isotropic transitions possible for 3 or 5 neighbors (a,c,e,i,j,n,k,q,r,y).
- ... is the population of the smallest known pattern that stays stable in Life but not in B3/S23-k (boat-tie).
- ... is the population of the smallest known pattern that stays stable in Life but not in B35r/S23 (block on table and loop).
- ... is the population of the smallest known pattern that stays stable in Life but not in B3/S23-j.[citation needed]
- ... is the number of entries per page that Catagolue gives you for period 10+ oscillators.
- ... is the number of gliders needed to synthesize Cyclic.
≈10.29
- ... is the average number of objects per D2_x Catagolue soup.
11
- ... is the smallest 2-digit palindrome.
- ... is the period of rattlesnake, a useful dot sparker.
- ... is the period of the highest-period domino sparker with a JLS/WLS/LLS search program, although it has extremely low clearance.
- ... is the heat of the LWSS.
- ... is the number of cells in the polyomino that results by advancing the R-pentomino 10 generations.
- ... is the number of generations in several pre-pulsar shuttle 3-cell push reactions.
- ... is the number of generations it takes for xp0_15d0s to gain its diagonal gutter.
- ... is the population of the smallest known pattern that stays stable in Life but not in B35a/S23 (elevener, which is named after its population).
- ... is the population of the smallest known pattern that stays stable in Life but not in B3/S23-q (feather-related patterns).
- ... is the population of the smallest known pattern that stays stable in Life but not in B34y/S23 (feather-related patterns).
- ... is the population of the smallest known pattern that stays stable in Life but not in B35n/S23 (eater with cape).
- ... is the length and width of the torus allowing the two-glider octomino to oscillate on.
- ... is the number of Lifeline volumes.
≈11.38
- ... is the inverse frequency of the glider in a C1 Catagolue soup. Note that this is highly dependent on soup size.
12
- ... is the population of the smallest period-3, 4, 8, and 15 oscillators: caterer, mold, mazing, figure eight, and pentadecathlon.
- ... is the lifespan of the line of six cells before completely dying.
- ... is the number of pentominoes.
- ... is the number of gliders emitted from a gliders by the dozen reaction.
- ... is the population where the number of period-2 oscillators starts picking up.[1]
- ... is the population of the ship-tie, a decently common still life.
- ... is the population of the traffic light.
- ... is the population of the smallest known pattern that stays stable in Life but not in B34c/S23 (xs12_rahr).[citation needed]
- ... is the population of the smallest known pattern that stays stable in Life but not in B3/S23-y (honeycomb).[citation needed]
- ... is the population of the smallest known pattern that stays stable in Life but not in B34t/S23 (carrier bridge table).[citation needed]
- ... is the period of baker's dozen, crown and 44P12.3.
- ... is the period of the Schick engine, which has appeared naturally.
- ... is the reciprocal of the speed of the switch engine and all Corderships.
- ... is the maximum number of cells you can have at a time in lifecompetes.
- ... is the number of chapters in Conway's Game of Life: Mathematics and Construction.
12.082
- ... is the average number of working fishhook catalyses in a 12×12 soup according to a search.
13
- ... is the period of 53P13, 66P13, Beluchenko's p13, and Buckingham's p13.
- ... is the number of isotropic transitions possible for 4 neighbors (a,c,e,i,j,n,k,q,r,t,w,y,z).
- ... is the number of engines in the first known Cordership.
- ... is the number of distinct 9-cell quasi still lifes.
- ... is the population of the smallest known pattern that stays stable in Life but not in B35j/S23.[citation needed]
- ... is the population of the smallest known pattern that stays stable in Life but not in B36k/S23.[citation needed]
- ... is in the username of user May13.
| The thirteen distinct 9-cell quasi still lifes. (click above to open LifeViewer) |
See also:
- Pre-block (xp0_13)
14
- ... is the period of the tumbler and 34P14 shuttle.
- ... is the number of generations in several pre-pulsar shuttle 3-cell push reactions.
- ... is the number of sparks among hexominoes.
- ... is the convex hull perimeter of the hexomino with the largest convex hull perimeter.
- ... is the population of the smallest known polyomino to exhibit infinite growth in Life. [citation needed]
- ... is the population of the half-bakery, a decently common still life.
- ... has a still life named after its population (fourteener).
- ... is the minimum possible period of a glider stream or glider gun, and the same with LWSSes.
See also:
- MWSS spark (xp0_14)
43/3
- ... is the average population of caterer, the smallest p3 by this measure.
≈14.68
15
- ... is the period of the pentadecathlon.
- ... is the number of gliders needed for universal construction.
- ... is the minimum known true-period gun.
- ... is the mod of the queen bee shuttle.
- ... is the number of generations needed for the pre-pulsar to replicate itself.
- ... is the number of generations the table lasts before completely dying.
- ... is the population of the smallest known trivial oscillator in Life (blinker on caterer).
- ... is the population of Beethoven and the ash of century.
- ... is the population of the smallest known pattern that stays stable in Life but not in B35e/S23.[citation needed]
- ... is the heat of the MWSS.
- ... is the minimum period that the bi-block hassler works at.
- ... is the number of still lifes with still life frequency greater than 1 in 10,000.
- ... is the number of oscillator periods that have appeared in C1 or G1 on Catagolue, including period 1.
- ... is the minimum period glider gun possible from a theoretical TL+G sequence hassler.
- ... is the highest number given to any XWSS on XWSS combination (MWSS on HWSS 15).
- ... is one of two periods (the other being 23) where a dependent reflector but not an independent reflector is known.
- ... is the lifespan of the short key (block predecessor).
- ... is the final population of the "technician concept" in Lifeline. (Catagolue link needed)
16
- ... is the period of Rich's p16, Achim's p16, Rob's p16, and Charity's p16.
- ... is the final population of blockade.
- ... is the default edge length in Catagolue soups.
- ... is the minimum possible period for a MWSS stream.
- ... or more cells gives 7 or more period-3 oscillators, while 15 or fewer cells gives 0 or 1.
- ... is the final population of the U-turner sequence (xp0_211 u).
- ... is the number of symmetries a still life can have.
- ... is the period of the Coe ship, which has appeared naturally.
- ... is the largest "small still life" size that appears in #catagolue on Discord.
- ... is the maximum number of on cells for a still life that fits in a 5×5 box.
- ... is the minimum known period XWSS gun, although all are pseudo-period.
17
- ... is the smallest period for which no oscillator was known for a long time.
- ... is the period of honey thieves.
- ... is the lifespan of the bun.
- ... was the number of gliders needed for universal construction for over a year.
- ... is the number of columns needed in a 2×N solid block to escape its bounding box horizontally.
- ... is the numerator of 17c/45, the speed of the caterpillar.
- ... is the number of 6-cell patterns that evolve into a single ship, as recorded in Lifeline Volume 4.
- ... is the number of hexaplets that evolve into a single pond.
- ... is the number of hexaplets that evolve into a single boat.
- ... is the number of hexaplets that evolve into the R-pentomino sequence.
- ... is the maximum lifespan of a 6-cell object that dies out completely and doesn't form a Z-hexomino.
- ... is the population of the smallest known pattern that stays stable in Life but not in B36e/S23.[citation needed]
See also:
- Tail (xp0_17)
≈17.01
- ... is the average number of objects per D8_4 Catagolue soup.
≈17.04
- ... is the average number of objects per D8_1 Catagolue soup.
71/4
- ... is the average population of the figure eight.
18
- ... is the minimum possible period for a HWSS stream.
- ... is the highest-period known billiard table without symmetry or a phase shift reaction (Merzenich's p18).
- ... is the final population of the interchange.
- ... is the total number of possible transitions in outer-totalistic rules: 9 birth, 9 survival.
- ... is the final population of the dove sequence.
- ... is the lowest known period independent glider reflector.
- ... is the base-2 logarithm of the cell size of the 0E0P metacell.
- ... is the maximum number of on cells for a still life that fits in a 6×6 box.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Cistercian Digits font, evolves into a traffic light in Life.
- ... is the final population of the word "Lifeline", as shown on the Lifeline page. Catagolue: here
18.2
- ... is the average population of pseudo-barberpole, the smallest p5 by this measure.
19
- ... is the period of cribbage.
- ... is the population of the smallest known G1 glider pair eater (Eater 2). [citation needed]
- ... is the smallest period for which no sparker of any type is known.
- ... is the heat of the HWSS.
- ... is the number of hexaplets that evolve into a blockade.
- ... is the number of hexaplets that evolve into a single blinker.
≈19.53
- ... is the average number of objects per D4_x1 Catagolue soup.
20
- ... was the minimum known true-period gun until 2024.
- ... was a common edge length for soups before Catagolue settled on 16×16, for instance Andrzej Okrasinski's census.
- ... is the lifespan of the teardrop.
- ... is the period of the ecologist.
- ... is the number of cells the front edge of the pi-heptomino moves forward from its initial position to its peak.
- ... is the number of 14-cell period-2 oscillators.
- ... is the minimum repeat time of the two pond and two block reaction.
- ... is the population of the queen bee shuttle.
- ... is the minimum population of any spaceship other than the standard four, such as the loafer and several flotillae.
- ... is the final population of the Octomino II sequence.
- ... is the default number of recent patterns and recent scripts in Golly.
- ... is the maximum number of a particular object where Catagolue credits a discovery for a new object.
- ... is the number of 6-cell patterns that evolve into a single tub, as recorded in Lifeline Volume 4.
- ... is the number of blinkers produces by a particular glider-LWSS collision as recorded in Lifeline Volume 6.
- ... is the minimum known number of cells needed for quadratic growth.
- ... is the minimum period glider gun possible from the honey farm + fishhook reaction.
≈20.59
- ... is the average number of objects per D4_x4 Catagolue soup.
≈20.71
- ... is the inverse frequency of the loaf in a Catagolue soup.
314/15
- ... is the average population of the pentadecathlon.
21
- ... is the period of the lowest odd true period glider gun.
- ... is the maximum number of cells that all still lifes are known to be synthesizable.
- ... is the period of a pipsquirter that's a honey farm hassler.
- ... is the population of the smallest known predecessors for both gosper glider gun and Simkin glider gun in Life.
- ... is the expansion factor of Sawtooth 1212.
- ... is the number of states in StateInvestigator.
- ... is in the username of JP21 and Prime Raptor21.
- ... is the number of hexaplets that evolve into the century sequence.
≈21.60
- ... is the average number of objects per D2_+1 Catagolue soup.
≈21.85
- ... is the average number of objects per C1 Catagolue soup.
22
- ... had no known oscillators with that period until the 1990s, but now has several examples.
- ... was the smallest-known period gun until the period-20 glider gun was discovered.
- ... is the population of 22P36.
- ... is the number of generations difference between H and H'.
- ... is the lifespan of the cap.
- ... is the number of tetraplets.
- ... is in the name of Rule 22.
- ... is the period of a common oscillator in 2×2.
≈22.44
- ... is the inverse frequency of the boat in a Catagolue soup.
≈22.53
- ... is the average number of objects per D2_+2 Catagolue soup.
23
- ... is the period of David Hilbert, the first period-23 oscillator, discovered in 2019.
- ... is the mod of the twin bees shuttle.
- ... is the population of switch engine ping-pong.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, shows a ship-tie in its ash in Life. (There is also another temporary ship-tie as well) (xp0_tln0llv)
- ... is in the waterbear's speed: (23,5)c/79.
- ... is the number of hexaplets that evolve into a honey farm.
- ... is one of two periods (the other being 15) where a dependent reflector but not an independent reflector is known.
- ... is the lifespan of the bent key.
- ... is in the username of wwei23.
24
- ... is the period of many hasslers and shuttles, in addition to dueling banjos.
- ... is the period of the most common LCM oscillator, pulsar on figure eight (boring p24 and uninteresting p24).
- ... is the population of the honey farm and fleet.
- ... is the final population of the Herschel.
- ... is the final population of the sombrero in Life.
- ... is the largest known n where a 1 by n rectangle is a spark in Life.
- ... is the number of neighbors (excluding the cell itself) in a range-2 Moore neighborhood.
- ... is the number of times a switch engine (by itself) reappears before being destroyed by its own exhaust.
- ... is the spacing between periods in many adjustable glider shuttles (e.g. 42+24N, 174+24N).
- ... is the inverse speed of the spaceship form of DOGun SaGaQR.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a boat in Life.
- ... is the number of objects per row in census.rle.
- ... is the number of heptominoes with any form of symmetry.
≈24.04
170/7
- ... is the average population of the loafer.
25
- ... is the period of the p25 pre-pulsar shuttle, 30P25, and Charity's p25.
- ... is the number of 10-cell strict still lifes.
- ... is the lifespan of the traffic jam reaction.
- ... is the population of the smallest c/3 spaceships (25P3H1V0) and smallest non-glider c/4 spaceship (crab).
- ... is the expansion factor of Sawtooth 1846.
- ... is the number of objects the R-pentomino turns into, including gliders.
- ... is the default number of posts per page on the forums.
≈25.05
- ... is the average number of objects per D4_+1 Catagolue soup.
≈25.90
- ... is the average number of objects per D4_+2 Catagolue soup.
26
- ... is the number of neighbors (excluding the cell itself) in a range-1 3D Moore neighborhood.
- ... ticks from the pi-heptomino shows two other pi-heptominoes.
- ... is the population of Beluchenko's p40.
- ... is the number of states in LifeSuper.
- ... is the number of possible isotropic non-totalistic transitions in a hexagonal grid: 13 birth, 13 survival.
- ... is the period of a common oscillator in 2×2 and a common component of an oscillator with various stators in Just Friends.
- ... is the final population of the B-heptomino in DryLife.
≈26.65
- ... is the average number of objects per D4_+4 Catagolue soup.
27
- ... had no known oscillators of that period until 2002.
- ... is the period of 56P27 and the period-27 glider gun.
- ... is the initial population of the 14911M.
- ... is the number of still lifes with still life frequency greater than 1 in 100,000.
- ... is the smallest known period for c/3 rakes.
- ... is the number of heptominoes that die out completely.
- ... is the smallest known non-negative integer that, when written in Dean Hickerson's Life Digits font, shows a complete fleet in its ash in Life. (xp0_tln011v)
28
- ... is a common period for pre-pulsar shuttles, which can be made in many different ways.
- ... is the final population of the B-heptomino sequence.
- ... is the minimum population of the Kok's galaxy.
- ... is the population of all three phases of cross, one of which is a polyomino.
- ... is the population of the bakery.
- ... is the maximum population of any phase of the teardrop sequence.
- ... is the number of live cells in the 39×1 1-cell thick infinite growth pattern.
- ... generations after an R-pentomino forms a B-heptaplet, equivalent to the B-heptomino.
- ... is the minimum population of the copperhead.
- ... is the minimum population of any period-7 oscillator, of which four with this population are known.
- ... is the number of two-glider collisions that die out completely.
- ... is the maximum number of on cells for a still life that fits in a 7×7 box.
- ... is the number of 6-cell patterns that evolve into the century sequence, as recorded in Lifeline Volume 4.
- ... is the outer-totalistic rule integer of the rule OCA:Serviettes.
29
- ... is a common period for pre-pulsar shuttles, which can be made in many different ways.
- ... is the population of the p45 pi-heptomino hassler.
- ... is the number of cells the front edge of the B-heptomino moves forward from its initial position to its peak (it recedes one cell afterwards).
- ... is the number of 15-cell period-2 oscillators.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a clean blinker in Life. (xp0_tln0nlv)
- ... is the final population of the B-heptomino in HighLife.
30
- ... is a common period for pre-pulsar shuttles, which can be made in many different ways.
- ... is the period of the queen bee shuttle and the Gosper glider gun.
- ... is the minimum population of 30P5H2V0, the smallest 2c/5 orthogonal spaceship.
- ... is the minimum population of 30P25, the smallest known p25 oscillator.
- ... is the default percentage for random fill in Golly.
- ... generations into the pi-heptomino sequence, a sibling of the pi-heptomino appears up front.
- ... is the minimum category for megasized patterns on Catagolue (30h).
- ... is the number of hexaplets that evolve into a single block.
- ... is the number of 5-cell patterns that evolve into a single loaf, as recorded in Lifeline Volume 4.
- ... is the final population of the queen bee by itself.
- ... is the final population of the R-pentomino in Pedestrian Life.
31
- ... is the period of Merzenich's p31, a very useful sparker.
- ... is the population of the large still life used in the original and Spartan version of Snark.
- ... is the number of oscillators with oscillator frequency greater than 1 in 1 billion.
- ... is the minimum population of Eater 3.
- ... is the numerator of 31c/240, the speed of several engineered spaceships.
- ... is the edge length of a D4_+1 or D8_1 Catagolue soup.
- ... is the repeat time of the odd traffic stop.
≈31.05
- ... is the average number of objects per C2_1 Catagolue soup.
≈31.22
- ... is the average number of objects per C2_2 Catagolue soup.
≈31.57
- ... is the average number of objects per C2_4 Catagolue soup.
≈31.77
[32,100)
32
- ... is the period of gourmet and several other pi-turning reactions.
- ... was the number of gliders required for universal construction before being reduced to 17.
- ... is the most zoomed in scale in Golly (1:32).
- ... is the population of the smallest triple pseudo still life.
- ... is the number of generations it takes for the long table to become a pulsar.
- ... is the number of Margolus rules, excluding birth from all cells being empty.
- ... is the smallest known non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into the century sequence in Life. (xp0_llv0tln)
- ... is the edge length of a D4_+4 or D8_4 Catagolue soup.
- ... is the number of known pentadecathlon pairs.
- ... is the lifespan of the "technician concept" in Lifeline.
≈32.51
- ... is the inverse frequency of the ship in a C1 Catagolue soup. Note that this is highly dependent on soup size, as most are created by Herschels extending beyond the initial area.
33
- ... is the lifespan of butterfly.
- ... is the period of Jason's p33.
- ... is the population of rattlesnake, diamondback, and dinner table, the smallest two period-11 oscillators and formerly the smallest period-12 oscillator.
- ... is the smallest period that's a multiple of 3 where a c/3 spaceship is not known.
- ... is the smallest "large still life" size that appears in #catagolue on Discord.
- ... is the smallest number (other than 1, 2, and 3) that doesn't appear in jslife's wicks folder.
- ... is the conduit with the smallest recovery time on LifeWiki (RF28B).
- ... is the number of gliders required to synthesize the weekender.
- ... is the number of hexaplets that evolve into a single beehive.
- ... is the number of 4-cell patterns with no irrelevant cells (78) that don't die out.
- ... is the smallest unbroken 1×N line that emits gliders that crash into each other well after the main pattern has settled.
See also:
- Block (xs4_33)
≈33.43
- ... is the average number of objects per C4_1 Catagolue soup.
34
- ... is the third to last period oscillator to be discovered, with 74P34 in 2022.
- ... is the period of 120P34.
- ... is the population of the sparker 34P7.
- ... is the population of Merzenich's p64, the smallest known p64 oscillator.
- ... is the population of the smallest quad pseudo still life.
- ... is the maximum number of bits for which all strict still lifes have been enumerated.
- ... is the number of hexaplets that evolve into a single loaf.
- ... is the history envelope size of the table sequence.
- ... is the larger dimension of the numerator of the speed of the (34,7)c/156 Herschel climber.
1/.0287115 (≈34.83)
- ... is the inverse density of ash in a soup on a torus.
35
- ... is the number of hexominoes.
- ... is the period of the p35 honey farm hassler and 50P35.
- ... was the number of gliders required for universal construction before being reduced to 32 and then 17.
- ... is the population of four eaters hassling lumps of muck, the smallest known p52 oscillator.
- ... is the average population of x66.
- ... is the number of 5-cell patterns that evolve into a single block, as recorded in Lifeline Volume 4.
- ... is the number of 6-cell patterns that evolve into a single toad, as recorded in Lifeline Volume 4.
- ... by 1 rectangle creates 12 blocks and nothing else.
≈35.01
- ... is the average number of objects per C4_4 Catagolue soup.
36
- ... is the period of several shuttles and hasslers, including several with traffic lights, one with a LoM, many honey farm hasslers, and the p36 shuttle.
- ... is the minimum population of Jason's p22 and Gabriel's p138.
- ... is the minimum population of weekender, the smallest 2c/7 orthogonal spaceship.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a pond in Life. (xp0_llv0vlt)
- ... is the base-2 logarithm of the period of the 0E0P metacell.
- ... is the repeat time of the traffic stop.
- ... is the maximum number of on cells for a still life that fits in an 8×8 box.
- ... is the population of the second-smallest still life in 3-4 Life.
37
- ... is the period of Beluchenko's p37, Beluchenko's other p37, and 58P37.
- ... is the minimum population of 37P4H1V0, the smallest c/4 orthogonal spaceship.
- ... is the history envelope size of the traffic light sequence.
38
- ... is the period of 44P38.
- ... is the largest even period for which no true-period gun is known.
- ... is the maximum period that the two pond and two block reaction could create, if any examples were known.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into exactly four blinkers (but not the traffic light) in Life. (xp0_llv0vlv)
- ... is the number of hexaplets that evolve into a traffic light.
39
- ... is the period of the p39 pi-heptomino hassler.
- ... is the number of 18-cell period-3 oscillators.
- ... is the minimum population of the Schick engine.
- ... is the final population of the I-heptomino.
- ... is the mimimum 1×N bounding box needed for infinite growth.
- ... is the period of the two-glider octomino on an 11×11 torus, but shifted.
- ... is the number of pentaplets (out of 94) that die completely.
- ... is the highest number of consecutive zeroes that apgcode originally supported.
- ... is the highest composite number where a gun of that period is not known.
- ... is the most entries a POTY has had.
- ... is the number of period-4 2-spaceship flotillae (not including sidecar or X66).
40
- ... is the period of Beluchenko's p40.
- ... is the number of cells forward the R-pentomino moves from its leading edge, excluding the forward escaping gliders.
- ... is the final population of the 1 by 8 rectangle in Life.
- ... is the maximum population of the pentadecathlon.
- ... is the maximum population of the interchange sequence.
- ... is the maximum bounding box side length that apgcode originally supported.
- ... is the percentage of soups that Charity Engine was running as C1, with the rest being symmetric (back when it was running symmetric soups).
41
- ... was the last period for which no oscillators were known, until the discovery of 208P41.
- ... is the generation that the B-heptomino releases its first natural glider.
- ... is the smallest known n where a 1 by n rectangle shows pulsars in its ash in Life.
- ... is the population of the canonical eater2-eater5 weld in the Syringe.
42
- ... is the population of Achim's p144.
- ... is the reciprocal speed of the bookend as a spaceship in rule B3/S234iw.
- ... is the history envelope size of the figure eight.
- ... was the last composite period for which no oscillator whose volatility matches strict volatility was known to exist before being found.
- ... is the answer to Life — wait, that's a different Life.
43
- ... is the repeat time of the Snark, allowing oscillators of periods 43 and higher to be constructed.
- ... is the period of the period-43 glider gun.
- ... is the recovery time of B60 if the FNG is removed.
- ... is the number of possible symmetries of an oscillator, taking into account both in a single generation and across generations.
- ... is the number of birth transitions (or survival transitions) in INT knight-move neighborhood rules.
- ... is the maximum number of on cells for a still life that fits in a 9×9 box.
44
- ... is the period of the period-44 glider gun, based on the p44 pi-heptomino hassler.
- ... is the population of p35 honey farm hassler, the smallest known p35 oscillator.
- ... is the population of 44P38, the first known p38 oscillator.
- ... is the number of xq4 entries in C1 on Catagolue (four standard, 39 flotillae, and sidecar).
45
- ... is the period of the period-45 glider gun.
- ... is the lifespan of the Z-hexomino.
- ... is the population of p32 honey farm hassler and p56 B-heptomino shuttle, the smallest known p32 and p56 oscillators.
- ... is the denominator of 17c/45, the speed of the caterpillar.
- ... is the population (live cells only) of the smallest known Garden of Eden.
- ... is the number of hivenudger variants.
- ... is the size of the largest asymmetric still life in a Catagolue soup.
- ... is the number of 4-cell patterns with no irrelevant cells (78) that die out completely.
- ... is the final population of the R-turner.
46
- ... is the number of 11-cell still lifes.
- ... is the period of the twin bees shuttle, found very early. Many guns using this oscillator are known.
- ... is the number of 14-bit p2 pseudo-oscillators.
- ... is the maximum lifespan of a 6-cell object that dies out completely (Z-hexomino parent).
- ... is the final population of the Thunderbird.
- ... is the repeat time of the Lx65_duplicator.
47
- ... is the period of the p47 pre-pulsar shuttle and the highest prime period in the original DRH oscillators collection.
- ... is the mod of the AK-94 gun; it was named after the real-life gun AK-47, where 94 is twice 47.
- ... is the expansion factor of Sawtooth 201.
- ... is the recovery time of Jormungant's G-to-H.
- ... is in the username wwei47.
- ... is the number of gliders that the methuselah Iwona produces.
- ... is the number of octo3obj results for the fishhook alone.
- ... is the lifespan (i.e. age) of Hans Leo Hassler (i.e. the composer), the namesake of the Hans Leo hassler.
48
- ... is the period of several shuttles and hasslers.
- ... is the period of the tiny period-48 glider gun.
- ... is the population of the smallest phase of the pulsar.
- ... is the population of Merzenich's p31, p54 shuttle, and 49P88, the smallest known p31 and p54 oscillators and the smallest known non-LCM p88.
- ... is the final population of the two-glider octomino.
- ... is the number of generations it takes for the switch engine to show itself again.
- ... is the lifespan of the line of 8 cells.
- ... is the number of neighbors (excluding the cell itself) in a range-3 Moore neighborhood.
- ... is the recovery time of PF35W.
- ... is the final population of the skewed pre-pulsar.
530/11 (42.181818...)
- ... is the L/MCPS of the two-glider mess.
49
- ... is the step time of R49.
- ... is the period of 44P49 and p49 skewed pulsar hassler.
- ... is the minimum population of 49P384.
- ... is the repeat time of the hotcrystal0 reaction and the period of one gun that can be created using it.
- ... is the L/MCPS of the E-heptomino.
- ... is the number of stars the winner of POTY 2016 got.
50
- ... is the period of the p50 traffic jam and the period-50 glider gun.
- ... is the anniversary year that this collection was made for.
- ... is the height of the lifecompetes grid.
- ... is the number of entries per page that Catagolue gives you for period 2-9 oscillators.
- ... is the maximum number of entries that the gliderdb command on Discord will fetch at a time.
- ... is the number of stars the winner of POTY 2017 got.
51
- ... is the period of Beluchenko's p51.
- ... is the minimum population of 51P384.
- ... is the number of birth transitions (or survival transitions) in isotropic non-totalistic rules with a range-1 Moore square neighbourhood: 1+2+6+10+13+10+6+2+1.
- ... is the period of one gun that can be made from the hotcrystal0 reaction.
- ... is the recovery time of Fx77 if the FNG is removed.
- ... is in the username of Bullet51.
- ... is the smaller dimension of the bounding box of the final ash of the R-pentomino, excluding escaping gliders.
52
- ... is the period of two very small oscillators: four eaters hassling lumps of muck and four molds hassling eight blocks.
- ... is the tile size for GPU soups on Catagolue.
- ... is the maximum methuselah category (52k) on Catagolue currently.
- ... is the population of the original and Spartan version of Snark.
- ... is the mod of the B-52 bomber, which gives it its name.
- ... is the final population of the E-heptomino.
- ... is the recovery time of BLx19R.
- ... is the final population of a solid 9×9 square.
- ... is the denominator of a puffer speed in B37e/S23.
- ... is the period of an oscillator where gliders that mutually annihilate and can be turned into a gun in B35y/S23.
53
- ... is the period of 94P53.
- ... is the largest period for which no true-period gun is known.
54
- ... is the period of the period-54 glider gun.
- ... is the period of the p54 shuttle, found very early.
- ... is the smallest period Snark loop that allows four gliders instead of eight.
- ... is in the name of Rule 54.
- ... is the recovery time of Conduit 1 if the FNG is removed.
- ... is the maximum number of on cells for a still life that fits in a 10×10 box.
55
- ... is the period of the period-55 glider gun.
- ... is the period of the p55 pre-pulsar hassler.
- ... is the final population of the pi-heptomino.
- ... is the number of distinct 12-cell pseudo still lifes.
- ... is the number of birth transitions (or survival transitions) in range-2 cross neighborhood rules.
- ... is the recovery time of BRx46B.
56
- ... is the period of p56 B-heptomino shuttle.
- ... is the population of the medium phase of the pulsar.
- ... is the population of 56P27, the smallest known p27 oscillator.
- ... is the population of the largest still life (cloverleaf interchange and one other) in the C1 Catagolue census.
- ... is the final population of the 1 by 25 rectangle in Life.
- ... is the minimum population of 56P6H1V0, the smallest c/6 orthogonal spaceship.
- ... is the smallest 1×N line that releases any gliders.
- ... is the maximum population of the honey farm sequence.
- ... is the generation where octomino II gains diagonal symmetry.
57
- ... is the period of the former smallest period-57 glider gun and related oscillator, which involves two R-pentominoes colliding and being sparked by huge p3 domino sparkers.
- ... is the recovery time of Lx65 and SW-2.
- ... is the number of distinct 10-cell quasi still lifes.
- ... is the lifespan of 3b2o$o$bo2bo$b3o!, ranked 51st in the list of common evolutionary sequences.
- ... is the number of beehives that Lidka produces.
- ... is the generation count of a specific 3-cell traffic light push (2o$bo11bo$bobo$2b2o9b3o$12bo3bo$12bo3bo$12bo3bo$13b3o6$13b3o$12bo3bo$12bo3bo$12bo3bo$2b2o9b3o$bobo$bo11bo$2o!).
- ... is the number of octo3obj results for the half-bakery alone.
| The known distinct 10-cell quasi still lifes. (click above to open LifeViewer) |
58
- ... is the period of the p58 pre-pulsar shuttle and p58 pi-heptomino hassler.
- ... is the minimum population of spider and 58P5H1V1, the smallest c/5 orthogonal and diagonal spaceships, as well as 58P37.
- ... is the recovery time of L112.
- ... is the lifespan of the word "Lifeline" as shown on the Lifeline page.
59
60
- ... is the period of a whole bunch of oscillators, most of which involve pentadecathlons and/or queen bee shuttles.
- ... is the mod of the Simkin glider gun, which uses two copies of B60.
- ... is the population of 60P312.
- ... is the maximum number of generations per second in LifeViewer with step size 1.
- ... is the recovery time of Fx153 and Lx84.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a loaf in Life.
- ... is the number of octo3obj results for the LWSS alone.
61
- ... is the period of the p61 pi-heptomino hassler.
- ... is the repeat time of the speed tunnel using the fastest FNG eater.
- ... is the mod of a hypothetical sparked Z-hexomino (period 122), except no period-61 sparkers are known.
- ... is the reciprocal of the theoretical speed of a spaceship where two blocks and two traffic light predecessors plus two dot sparks shifted one cell in 61 generations minus the sparks.
- ... is the only period for which the Herschel loop introduced by David Buckingham in 1996 emits no gliders.
- ... is the recovery time of the BFx59H injector.
62
- ... is the period of 110P62.
- ... is the period of a specific oscillator where the active region is a teardrop, I-heptomino, century, and a common unnamed pi+loaf at various points.
- ... is the population of 62P7, a very useful sparker, and 62P83.
- ... is the recovery time of L156, a Herschel conduit emitting extra gliders other than the FNG.
- ... is the period of a line of 10 in a Margolus rule.
- ... is the lifespan of 3bo$2ob2o$3bo$obo$bo!, ranked 48th in the list of common evolutionary sequences.
437/7 (62.428571...)
- ... is the L/MCPS of the F-heptomino.
63
- ... is the repeat time of the speed tunnel using the standard FNG eater.
- ... is the lifespan of the stairstep hexomino.
- ... is the maximum population of the wing sequence.
- ... is in Paul's (i.e. "Golly gibberish") email address.
- ... is the recovery time of F117 and HFx58B.
64
- ... is the period of Merzenich's p64 and p64 thunderbird hassler.
- ... generations after a B-heptomino, another B-heptomino appears, which inspires R64 with this step time.
- ... is the minimum population of 64P2H1V0, the smallest period-2 c/2 spaceship.
- ... is the repeat time (and in the name) of snark64.
- ... is the most zoomed-in scale in LifeViewer.
- ... is the maximum step size in LifeViewer.
- ... is the number of Margolus rules, including birth from all cells being empty.
- ... is the edge length of lifelib patterns.
- ... is the maximum number of on cells for a still life that fits in an 11×11 box.
- ... is the maximum population of 30P25, beating the previous minimum for p25 oscillators.
- ... is the maximum population of Kok's galaxy
65
- ... is the period of the p65 pre-pulsar shuttle.
- ... is the maximum population of the century sequence.
- ... is the time it takes for an R-pentomino descendant to reappear when sparked in a specific location (https://www.conwaylife.com/forums/viewtopic.php?t=&p=8872#p8872)
- ... is the step time of Lx65.
- ... is the number of beehives that the methuselah bunnies produces.
- ... is the lowest period for which no synthesized object exists.
66
- ... is the number of 19-cell period-3 oscillators.
- ... is the period of the p66 R-pentomino hassler, which consists of eight R-pentominoes hitting each other and being sparked by either p3 or p6 oscillators.
- ... is the population of gourmet, formerly the smallest known p32 oscillator.
- ... is the population of the p196 pi-heptomino hassler.
- ... is the population of the canonical syringe.
- ... is the number of cells backward the R-pentomino moves from its initial trailing edge, excluding the backward escaping gliders.
- ... is the lifespan of the two-glider collision that creates a traffic light and glider.
- ... is the recovery time of HF95P.
- ... is the minimum population of any known stable or periodic object that is endemic to Life, consisting of a p146 pi-heptomino hassler with an eater 2 variant for stabilisation.
- ... is in the name of x66.
67
- ... is the period of the p67 B-heptomino hassler.
- ... is the minimum population of Raucci's p102.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a blockade in Life.
- ... is the lifespan of the two-glider collision that creates a block, blinker, tub, and loaf, starting at the generation immediately before contact.
- ... is the denominator of a speed of a puffer (8c/67o) in B36i/S23.
68
- ... is the population of statorless p5, 68P16, and 68P32.
- ... is the denominator of a failed puffer speed (that explodes chaotically) in B3/S234y.
69
- ... is the generation that the R-pentomino releases its first natural glider.
- ... is the population in all phases of sixty-nine, an oscillator named after this fact.
- ... is a common sequence of apgcodes' first two digits.
- ... is in the username of Hippo.69
70
71
- ... is the number of 2-glider collisions in Life.
- ... is the period of p71 honey farm hassler.
- ... is the maximum number of characters in a canonical INT rule using B/S notation.
- ... is the number of 5-cell patterns that evolve into a single beehive, as recorded in Lifeline Volume 4.
- ... is the population of Extrementhusiast's p6.
72
- ... is the period two blockers hassling R-pentomino and p72 quasi-shuttle.
- ... is the population of the dense phase of the pulsar.
- ... is the length of the smallest 1×N line that produces spark coils.
- ... is one of two yl_(number) apgcodes smaller than 100 that have appeared in asymmetric soups, the other being 96.
- ... is the maximum known megasized category in an asymmetric soup on Catagolue (72h in G1).
- ... is the final population of the two-glider mess.
- ... is the recovery time of SW1T43.
- ... is the history envelope size of the Z-hexomino sequence.
73
- ... is the period of the p73 lumps of muck hassler.
- ... is the step time of Lx73.
- ... is the smallest positive integer N for which the "Category: Oscillators with N cells" does not currently exist on LifeWiki other than very low numbers where no such oscillator exists.
74
- ... is one of the overclock periods of the syringe.
- ... is the period of Raucci's p74 and one of the pi-heptomino hasslers.
- ... is the minimum population of 74P34 and 74P127.
- ... is the smallest even period for which a c/2 puffer is possible but not known.
- ... is the smallest positive integer N for which the "Category: Oscillators with mod N" does not currently exist on LifeWiki.
- ... is the number of stars the winner of POTY 2019 got.
75
- ... is one of the overclock periods of the syringe.
- ... is the period of 6 bits.
- ... is the number of 6-cell patterns that evolve into a pi-heptomino, as recorded in Lifeline Volume 4.
76
- ... is the period of p76 pi-heptomino hassler.
- ... is the lifespan of the procrastinator in its original form in Lifeline Volume 4.
- ... is the width of a line puffer that comes with Golly.
- ... is the population of 76P8.
- ... is the maximum number of on cells for a still life that fits in a 12×12 box.
- ... is the number of stars the winners of POTY 2020 got.
77
- ... is the step time of Fx77.
- ... is the minimum population of 77P6H1V1, the smallest c/6 diagonal spaceship.
- ... is in the apgcode of the pre-beehive. (xp0_77)
- ... is in the username of 77topaz and flipper77.
78
- ... is the repeat time of the syringe, excluding overclocking.
- ... is the number of 2-glider collisions in rules containing B2n but otherwise identical to Life.
- ... is the number of 15-bit p2 pseudo-oscillators.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a honey farm in Life.
- ... is the number of 4-cell patterns with no irrelevant cells.
- ... is the denominator of a speed of a puffrake (11c/78o) in B35c/S23.
79
- ... is the denominator of the waterbear's speed: (23,5)c/79.
- ... is the height of Sir Robin.
- ... is the lifespan of 3bo$bo3bo2$o5bo$7o!, a common sequence in odd-symmetric soups.
238/3
- ... is the rulestring for EightLife in S/B notation (before B/S notation became common), interpreted literally as division.
80
- ... is the number of neighbors (excluding the cell itself) in a range-4 Moore neighborhood.
- ... is the number of neighbors (excluding the cell itself) in a range-1 4D Moore neighborhood.
- ... is the history envelope size of the pentadecathlon.
- ... is the number of cells between rows in census.rle.
81
- ... is the smallest oscillator period for which an oscillator is known but no engine is known.
- ... is the larger dimension of the bounding box of the p7-assisted period-28 glider gun.
- ... is the lifespan of the B-heptomino in Grounded Life.
- ... is the smallest positive integer N for which the "Category: Oscillators with period N" has zero entries on LifeWiki.
82
- ... is the true period of the p41 wick stabilized with glider guns.
- ... is the population of p76 pi-heptomino hassler, the smallest known p76 oscillator.
- ... is the minimum gun period that allows the common beehive crystal to form.
- ... is the denominator of a speed of an engineered spaceship ((12,5)c/82) in B3/S234y.
- ... is the denominator of a puffer speed (41c/82o) in B3/S23-j.
83
- ... is the population of the p25 pre-pulsar shuttle.
- ... is the period of 62P83.
- ... is the number of periods in the original DRH oscillator collection.
- ... is the minimum population of lobster, the smallest c/7 diagonal spaceship.
- ... is in the username of 83gv.
- ... is in the username of 83bismuth38.
- ... is the edge length of a solid 83×83 grid of on cells, which produces four unixes.
- ... is the height of the scholar.
- ... is the number of hexaplets with any form of symmetry.
84
- ... is the period of 52P84 and two oscillators found by David Raucci.
- ... is the period of p84 honey farm hassler, the first oscillator found with symmetric CatForce.
- ... is the population of p47 pre-pulsar shuttle, Raucci's p74, 84P87, and 84P199, the smallest known p47, p74, p87, and p199 oscillators.
- ... is the step time of Lx84.
- ... is the history envelope size of the interchange sequence.
85
- ... is the period of the p85 R-pentomino hassler.
- ... is the recovery time of the G4 receiver.
- ... is the number of stars the winner of POTY 2021 got.
86
- ... is the period of 76P86 and the strictly volatile p86.
- ... is the number of transitions for birth and survival combined in INT knight-move neighborhood rules.
- ... is the number of characters needed to encode a rule in a MAP string for the range-1 Moore neighborhood.
- ... is the minimum population of 86P118.
- ... is the denominator of a speed of an orthogonal switch engine-like object in B3-e/S23.
87
- ... is the period of 84P87.
88
- ... is the period of 49P88 and the period-88 glider gun.
- ... is the period of one of the oscillators (queen bee turn) that comes with Golly.
- ... is the minimum number of cells that need to be specified for the smallest known Garden of Eden.
- ... is the history envelope size of the pulsar.
- ... is common in apgcodes of still lifes.
- ... is the period of what a single state-9 cell eventually becomes in StateInvestigator.
89
- ... is the number of nonominoes with any form of symmetry.
- ... is the smallest prime number for which no multiple of that number (including itself) appears in David Raucci's oscillator collection. Herschel tracks do exist, however.
- ... is the number of characters needed to encode a rule in a MAP string for the range-1 Moore neighborhood including the word "MAP".
- ... is the history envelope size of "seven blinkers" as shown in census.rle (3o$bo$bob2o$b2o!), although some predecessors increase it.
90
- ... is the period of a whole bunch of oscillators, most of which involve pentadecathlons and/or queen bee shuttles.
- ... is the number of 21-bit p3 pseudo-oscillators.
- ... is the recovery time of Lx200.
- ... is the maximum number of on cells for a still life that fits in a 13×13 box.
- ... is the number of degrees in some reflectors.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a single glider in Life.
91
- ... is the lifespan of a 36×1 rectangle.
- ... is the period of an R-pentomino hassler found using symmetric CatForce.
- ... is the history envelope size of a line of 11.
92
- ... is the period of several twin bees shuttles interactions and a traffic light hassler.
- ... is the population of Jason's p156.
- ... is the recovery time of Callahan G-to-H and Fx176.
- ... is in the name of a file that comes with Golly: TriangularAnt_period92.rle
- ... is the number of gliders that 52513M produces.
93
- ... is the lifespan of a 25×1 rectangle.
- ... is the history envelope size of the honey farm sequence and the L-hexomino (5o$o!).
- ... is the lifespan of the B-heptomino in DryLife.
94
- ... is the period of AK-94 and the p94 R-pentomino hassler.
- ... is the number of pentaplets.
- ... is the lifespan of the longest two-glider collision that completely dies out.
95
- ... is the step time of conduit HF95P.
- ... is the number of distinct oscillators and spaceships in Achim Flammenkamp's census.
- ... is the number of stars the winner of POTY 2023 got.
96
- ... is the period of the p96 Hans Leo hassler, which has eight different cell periods (1, 2, 3, 4, 8, 12, 48, 96).
- ... is the period of a specific B-heptomino hassler that is a 51+45 combination.
- ... is the denominator of the switch engine speed, unsimplified (8c/96).
- ... is one of two yl_(number) apgcodes smaller than 100 that have appeared in asymmetric soups, the other being 72.
- ... is the period of the bomber in HighLife.
- ... is the height of 339P7H1V0.
- ... is the number of cells between columns in census.rle.
- ... is the number of active regions shown in the post that contains census.rle without needing to download the file.
- ... is the lifespan of the "cis-house-tie" in Life.
≈96.49
- ... is the average number of blinkers for each non-blinker oscillator.
97
- ... is the period of one specific honey farm hassler.
98
- ... is the period of the R49 loop with two R-pentominoes.
- ... is the mod of the p196 pi-heptomino hassler.
- ... is the reciprocal of an elementary spaceship speed in HighLife.
- ... is the number of 16-cell period-2 oscillators.
- ... is the recovery time of Bx106.
99
- ... is in the username of user X99.
[100,317)
100
- ... is the period of centinal and two particular honey farm hasslers.
- ... is the recovery time of L122.
- ... is the width of the lifecompetes grid.
- ... is the final population of the smallest 1xn rectangle that produces escaping gliders.
- ... is the number of most common objects in Catagolue's statistics page.
- ... is the minimum population of the 2-engine Cordership.
101
- ... is the name of an oscillator: 101
- ... is the period of 116P101.
- ... is the minimum population of sparky.
- ... is in the username PC101.
- ... is the number of generations it takes for gliders to form from a 1×56 line, the smallest unbroken orthogonal line that emits gliders in Life..
- ... is the number of beehives that the methuselah Ed produces.
102
- ... is the period of Raucci's p102.
- ... is the number of isotropic transitions: 51 birth, 51 survival.
- ... is the minimum population of dragon.
- ... is the minimum population of the lower-clearance form of the p6 half-heavyweight emulator.
- ... is the history envelope size of a line of 12.
- ... is the number of blocks that Lidka produces.
≈102.86
- ... is the inverse frequency of the tub in a Catagolue soup.
103
- ... is the lifespan of the century.
- ... is the lifespan of a 30×1 rectangle and of a 50×1 rectangle.
104
- ... is the period of the B-52 bomber.
- ... is the minimum population of the smallest known period-177 oscillator.
- ... is the minimum population of 104P9.
- ... is the minimum population of the higher-clearance form of the p6 half-heavyweight emulator.
- ... is the maximum number of on cells for a still life that fits in a 14×14 box.
- ... is in the name of a file that comes with Golly: loopability-104-rro.rle
105
- ... is the number of generations it takes for the junk left behind by the R-pentomino to interact with the B's first block.
- ... is the final population of the blonk-tie.
- ... is the rank of the most common 19-cell still life (mango with block on dock) in list of common still lifes.
≈105.75
- ... is the inverse frequency of the pond in a Catagolue soup.
106
- ... is the lifespan of the block and glider.
- ... is the minimum period required for the rectifier to work.
- ... is the period of 115P106.
- ... is the step time of conduit Bx106.
- ... is the mod of a 13-cell natural glider gun in Pedestrian Life.
- ... is the lifespan of a 37×1 rectangle.
- ... is the final population of a 47×1 rectangle.
- ... is the number of stars the winner of POTY 2018 got.
- ... is the period of an "even pulsar" shuttle in B3/S23-y.
107
- ... is the recovery time of R190.
- ... is the maximum population of the Iwona active region sequence.
- ... is the most stars ever given to an object in POTY.
- ... is the history envelope size of a line of 9.
- ... is the history envelope size of 2o$2o4bo$5b3o!.
- ... is the minimum known population of any predecessor of a spacefiller (max).
- ... is the number of stars the winner of POTY 2015 got.
108
- ... is the number of heptominoes.
- ... is the minimum population of p128 wing shuttle.
- ... is the history envelope size of the queen bee shuttle supported by blocks.
109
- ... is the number of 6-cell patterns that evolve into a single glider, as recorded in Lifeline Volume 4.
- ... is the larger dimension of the bounding box of the final ash of the R-pentomino, excluding escaping gliders.
- ... is the number of still lifes created via synthesis in one of the RLEs that comes with Golly (109-still-lifes.rle).
- ... is the number of blocks that the methuselah bunnies produces.
110
- ... is the number of 13-cell pseudo still lifes.
- ... is a famous 1D Wolfram rule: Rule 110
- ... is the number of 16-bit pseudo still lifes.
- ... is the number of combined birth and survival conditions for a range-2 cross INT rule.
- ... is the minimum population of 110P62 and popover.
- ... is the period of a puffer (23c/110o) in B34c/S23, which is a century.
- ... is the index of the thunderbird sequence in census.rle, zero-indexed.
- ... is the denominator of a puffer speed in B34c/S23.
111
- ... is the period of the p111 R-pentomino hassler.
- ... is the height of the current optimal 678P7 sparker.
112
- ... is the minimum population of Beluchenko's p51, 112P15, and p31 glider shuttle.
- ... is the step time of conduit L112.
- ... is the lifespan of the "1", in Dean Hickerson's Cistercian Digits font, in Life.
√12621 (≈112.34)
- ... is the evaluation of squareroot12621's username.
113
- ... is the period of nihonium and the p113 glider gun.
- ... is the recovery time of RR56H.
- ... is the minimum population of sailboat.
114
- ... is the period of a pi-heptomino-based glider gun found by David Raucci.
- ... is the minimum population of the bulldozer.
116
- ... is the final population of the R-pentomino.
- ... is the minimum population of 116P101.
- ... is the lifespan of the original die hard in HighLife.
- ... is the step time of conduit F116.
- ... is the recovery time of BF20H, F166, and the Herschel transmitter.
- ... is in the username of C_R_116.
- ... is the denominator of a speed of a forward-moving mechanism (18c/116o) in B3-c/S23 that can be turned into an engineered spaceship.
117
- ... is the period of the period-117 glider gun.
- ... is the step time of conduit F117.
- ... is the recovery time of the Herschel receiver.
- ... is the minimum population of 117P9H3V0 and p8 swan tagalong (including the swans).
118
- ... is the number of 6-cell patterns that evolve into blockades, as recorded in Lifeline Volume 4.
- ... is the period of a puffer (27c/118d) in B3-n/S23.
- ... is the number of gliders that 50093M produces.
- ... is the period of 86P118.
- ... is the minimum period of the 2hd glider shuttle using a transparent traffic light if LCMing it with e.g. fumaroles to delete blinkers is allowed.
119
- ... is the step time of conduit Fx119.
- ... is the maximum number of on cells for a still life that fits in a 15×15 box.
- ... is the minimum population of pi portraitor.
- ... is the minimum population of 119P4H1V0.
- ... is the lifespan of the original die hard in HighLife (which still works as a diehard).
120
- ... is the period of several oscillators, many of which are period-multiplied, LCMs, or shuttles, but also includes a pi-heptomino hassler.
- ... is the period of the Simkin glider gun.
- ... is the highest period oscillator to appear naturally in an asymmetric soup.
- ... is in the name of NW31T120.
- ... is the recovery time of BNE14T30 when preceded by BRx46B.
- ... is the period of an interchange hassler in HoneyLife.
- ... is the population of one of the period-7 sparkers (120P7) and of 120P34.
- ... is the number of neighbors (excluding the cell itself) in a range-5 Moore neighborhood.
121
- ... is the number of 12-cell still lifes.
- ... is the expansion factor of sawtooth 177 and sawtooth 181.
- ... is the population of 121P7, a sparker.
- ... is the population of the p48 pi-heptomino hassler.
- ... is the population of the Silver reflector.
122
- ... is the minimum population of David Hilbert.
- ... is the step time of conduit L122.
- ... is the period of a hypothetical Z-hexomino hassler with mod 61.
123
- ... is the name of an oscillator, excluding hyphens: 1-2-3
- ... is the maximum population of the B-heptomino sequence.
- ... is the generation number where the B-heptomino initially reaches its farthest forward point.
- ... is the mod of the symmetric p246 oscillator based on the period-246 glider gun.
- ... is the number of 6-cell patterns that evolve into a single pond, as recorded in Lifeline Volume 4.
- ... is the minimum population of 123P27.1, the first known p27 oscillator.
- ... is the end of the apgcode of Big S (xs14_g88b96z123).
124
- ... is the period of the p124 lumps of muck hassler.
- ... is the final population of gliders by the dozen.
- ... is the minimum population of Beluchenko's p37, p130 shuttle, and 124P21.
- ... is the final population of a 43×1 rectangle.
- ... is in the name of a file that comes with Golly: tubstretch-c124b.rle
125
- ... is the step time of conduit Bx125.
- ... is the minimum population of the 2hd glider shuttle using a transparent traffic light, possible for periods 126+8N.
126
127
- ... is the period of 74P127.
- ... is the RNG length in Dean Hickerson's p15240 PRNG.
- ... is the number of 6-cell patterns that evolve into honey farms, as recorded in Lifeline Volume 4.
128
- ... is the lifespan of the Herschel.
- ... is the period of a pi-heptomino hassler and wing shuttle.
- ... is the average number of cells filled in in a Catagolue soup.
- ... is the population of 128P10.2 and snail.
- ... is the highest number DYK that Caterer on Discord can produce.
- ... is the category (methuselah_128k) of a D4_x1 switch engine-based methuselah.
- ... is the number of beehives that the methuselah Fred produces.
- ... is the index of the F-heptomino sequence in census.rle, zero-indexed.
129
- ... is the period of the p129 R-pentomino hassler.
130
- ... is the lifespan of the original die hard.
- ... is the period of p130 shuttle.
- ... is the recovery time of RF48H.
- ... is the lifespan of one semi-common 7-cell object listed here.
131
- ... is the history envelope size of the "flare" (bo$2obo$bobo$2b2o!).
132
- ... is the maximum population of the two-glider octomino sequence.
- ... is the period of 255P132 (a U-turner shuttle), one of the Hans Leo hasslers, and a period-tripled p44 pi-heptomino hassler.
- ... is the population of 132P7, a sparker.
- ... is the population of the T-nosed p5.
- ... is the population of the minimal form of Jason's p11.
- ... is the category (methuselah_132k) of a D4_x4 switch engine-based methuselah.
- ... is the number of beehives that the methuselah Eve produces.
133
- ... is the minimum period of a rectifier loop with only two gliders.
134
- ... is the minimum population of 134P39.1, the first-known p39 oscillator.
- ... is the minimum population of the 4-engine Cordership.
- ... is the maximum population of the I-heptomino sequence.
- ... is the number of beehives that the methuselah Wilma produces.
- ... is the period of a specific wing hassler that uses a p2 corner dot sparker.
135
- ... is the degrees turned for certain converters such as 135-degree MWSS-to-G.
- ... is the smallest unbroken 1×N line that produces pulsars.
- ... is the number of degrees in some reflectors, specifically XWSS→G.
- ... is the number of blinkers that Lidka produces.
136
- ... is the maximum number of on cells for a still life that fits in a 16×16 box.
- ... is the minimum population of the stable-catalyst form of the p55 pre-pulsar hassler.
- ... is the number of blinkers that the methuselah bunnies produces.
137
- ... is the height of the spaghetti monster.
- ... is the number of bytes in the first edition of this article.
- ... is the minimum population of the monomer version of p486 R-pentomino hassler.
- ... is in the name of a file that comes with Golly: justfriends-p137loop.rle
138
- ... is the period of Gabriel's p138 and several twin bees shuttle (46×3) combinations.
- ... is the rank of the most common 22-cell still life (cis-mirrored worm) in list of common still lifes.
- ... is in the forum username of ColorfulGabrielsp138, one of the co-authors of this article.
139
140
- ... is the number of objects that multum in parvo creates.
- ... is the minimum population of statorless p3.
- ... is the number of beehives that the methuselah Edna produces.
- ... is the final population of a 42×1 rectangle.
- ... is the maximum population of the R-turner sequence.
≈140.9
- ... is the approximate ratio of O quad-loaves to all other 28-bit still lifes in Catagolue's C1 census.
141
- ... is the number of quasi still lifes with 11 cells.
142
- ... is the minimum population of the p486 R-pentomino hassler.
- ... is the minimum population of one particular pi-heptomino hassler.
143
- ... is the period of the p143 Bandersnatch loop.
- ... is the period of a gun that uses the chucklebait reaction.
- ... is the number of beehives that the methuselah Iwona produces.
144
- ... is the period of Achim's p144 and its associated glider gun.
- ... is the minimum population of 144P24, p26 pre-pulsar shuttle, and quasar.
- ... ticks after the Herschel in B34c/S23, another Herschel appears.
- ... is the yl number for the block-laying switch engine on Catagolue.
145
- ... is the minimum population of 145P20, the first known p20 oscillator.
- ... is the number of octo3obj results for the mango alone.
- ... is the index of the Z-hexomino sequence in census.rle, zero-indexed.
- ... is the denominator of a speed of a blinker puffer (3c/145d) in B3/S23-c.
146
- ... is the minimum population of the p26 glider shuttle.
- ... is the history envelope size of the procrastinator sequence.
147
- ... is the period of one particular honey farm hassler with D4 symmetry.
148
- ... is the lifespan of the B-heptomino.
- ... is the lifespan of a 31×1 rectangle.
- ... is the minimum population of 148P5, a heavyweight volcano that actually has side sparks (xp5_3p64kmhf8bbgzhf8b6w1g89hzv50oxuron0abai3zflggx7t1u0t521z4v06b88kghkb413z64311347066).
149
- ... is the rank of the most common still life over 22 cells (O quad-loaf with 28 cells) in list of common still lifes.
- ... is the history envelope size of 3o$3bo2$b3o!, ranked #39 in census.rle.
150
- ... is the number of generations it takes for a pi to reform when hit by a glider in a specific position (plus an output glider).
152
- ... is the minimum population of the p29 pentadecathlon hassler.
- ... is the maximum number of on cells for a still life that fits in a 17×17 box.
153
- ... is the lifespan of the object hassled in Karel's p177.
- ... is in the apgcode of the glider (xq4_153).
- ... is the recovery time of R64.
- ... is the number of generations it takes for the toad to be hit in the two-glider octomino sequence.
154
- ... is the period of an octomino II shuttle found by David Raucci.
- ... is the number of cells in the bounding box of the queen bee shuttle (22×7).
156
- ... is the period of the p156 Hans Leo hassler and Jason's p156.
- ... is the step time of L156.
- ... is the denominator of the speed of the (34,7)c/156 Herschel climber.
- ... is the history envelope size of a line of 14.
- ... is the heat of 139P7H1V0.
157
- ... is the minimum population of the p156 Hans Leo hassler.
- ... is the recovery time of H-to-MWSS.
158
- ... is the recovery time of Fx119 inserter.
- ... is the step time of Fx158.
159
- ... is the period of a c/3 forward rake in one of the RLEs that comes with Golly (c3-forward-rake-p159.rle).
160
- ... is the period of an oscillator that involves four Beluchenko's p40s hassling a blinker.
- ... is the period of an oscillator that involves two pi-heptominoes diagonally flipping with only stable supports.
161
- ... is the mod of a specific C2-symmetric pi reaction that is self-sustaining when a single block is removed. (The period is twice that, 322.) https://conwaylife.com/forums/viewtopic.php?f=2&t=1437&p=132962&hilit=p322#p132971
162
- ... is the period of a specific moth hassler (shown on the lumps of muck hassler page as each moth turns into two lumps of muck).
- ... is the number of generations it takes for the first ship to form in the R-pentomino sequence.
163
- ... is the lifespan of the U-turner in its canonical form.
- ... is the history envelope size of the offset honey farm (obo$2ob2o$2bo!).
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a beehive in Life.
- ... is the MCPS of the methuselah Ed.
164
165
- ... is the period of a MWSS gun in one of the RLEs that comes with Golly (gun-p165mwss.rle).
- ... is the number of generations it takes for the E-heptomino sequence to first reach its farthest extent.
166
- ... is the period of the p166 R-pentomino hassler.
- ... is the number of rows in the full census.rle, with the last row being partial.
- ... is the recovery time of Bx125.
- ... is the step time of F166.
- ... is the number of generations it takes for Thunderbird to gain its gutter.
- ... is the denominator of a speed of an engineered spaceship ((6,1)c/166) in B35k/S23.
168
- ... is the period of pi orbital.
- ... is the minimum population of 168P22.1, the first known p22 oscillator.
- ... is the smaller dimension of the bounding box of the final ash of the acorn, excluding escaping gliders.
- ... is the number of neighbors (excluding the cell itself) in a range-6 Moore neighborhood.
- ... is the lifespan of a 47×1 rectangle.
- ... is in the name of a file that comes with Golly: p168-knightship.rle
- ... is the post count of LLAMASKYWALKER, last active in 2022.
169
- ... is the index of the first sequence in census.rle without a 3-glider synthesis, zero-indexed.
170
- ... is the total number of stars given in OCA DOTY 2017.
171
- ... is the step time of F171.
- ... is the maximum number of on cells for a still life that fits in a 18×18 box.
- ... is the number of hexaplets that die, as recorded in Lifeline Volume 4.
- ... is the number of beehives that the methuselah Homer produces.
172
- ... is the period of one particular century shuttle.
173
- ... is the lifespan of the pi-heptomino.
- ... is the lifespan of one common "traffic light hits block" sequence.
- ... is the number of stars the winners of POTY 2022 got.
174
- ... is the minimum period glider gun for the hotcrystal0 reaction one-glider shuttle.
- ... is the minimum population of a specific p134 wing hassler that uses a p2 corner dot sparker.
- ... is the denominator of a speed of a spaceship (9c/174o) in B2n3/S23.
175
- ... is the final population of an octomino (xp0_17e4) that outlived[citation needed] the R-pentomino in Life.
176
- ... is the number of generations it takes for the initial B-heptomino to finish evolving in the R-pentomino sequence.
- ... is the recovery time of Fx158.
- ... is the step time of Fx176.
177
- ... is the period of Karel's p177.
- ... is the lifespan of the heptomino 2b2o$b2o$2o$o! (xp0_136c).
- ... is in the name of a sawtooth (sawtooth 177).
- ... is the number of generations it takes for the first boat to form in the R-pentomino sequence.
178
- ... is a common starting apgcode sequence for still lifes, corresponding with tails connected to other objects.
- ... is the smaller dimension of the bounding box of the final ash of multum in parvo, excluding escaping gliders.
- ... is the total number of stars given in POTY 2014.
179
- ... is a prime factor of 1969 (the other being 11), the year Conway's Game of Life was discovered.
180
- ... is the population of 180P8.
- ... is the population of p444 R-pentomino hassler.
- ... is the number of degrees in some reflectors.
- ... is the minimum population of the largest SKOP (period 103).
- ... is the history envelope size of the long bun sequence.
- ... is the denominator of a speed of an a puffrake (11c/180o) in B3/S23-e.
181
- ... is in the name of a sawtooth (sawtooth 181).
182
- ... is the final population of Lidka without the tub.
- ... is the history envelope population of the R-turner during a brief pause when the active region is in already-covered cells.
183
- ... is the period of a lumps of muck hassler.
- ... is the lifespan of gliders by the dozen.
- ... is the arithmetic mean final population of the "Lidka minus tub" methuselah.
- ... is the index of one particular sequence that's hassled in a p40 oscillator in census.rle, zero-indexed.
184
- ... is the period of the period-184 glider gun and a specific lumps of muck hassler.
- ... is currently the population of the smallest known unsynthesizable still life.
- ... is the final population of the "6" or "9", in Dean Hickerson's Life Digits font, in Life.
185
- ... is the period of an engineless 2c/5 rake in one of the RLEs that comes with Golly (2c5-engineless-rake-p185.rle).
- ... is a factor of 41625, found in the username lemon41625.
186
- ... is the population of 186P24, the first non-trivial and non-boring p24 oscillator to be found.
- ... is the period of two shuttles: a century shuttle and a pi-heptomino shuttle.
187
- ... is the total number of objects arising from a lone switch engine, including escaping gliders.
- ... is the period of a specific century hassler.
35201/188 (≈187.24)
- ... is the L/MCPS of 35201M.
188
30872/161 (≈189.40)
- ... is the L/MCPS of Ed.
190
- ... is the step time of R190.
- ... is the period of a class of (5,2)c/190 spaceships and puffers in Pedestrian Life.
- ... is the period of one particular thunderbird shuttle.
- ... is the larger dimension of the bounding box of the final ash of multum in parvo, excluding escaping gliders.
- ... is the number of blinkers that the methuselah Ed produces.
191
- ... is the lifespan of the queen bee.
192
- ... is a yl (yl192) in Catagolue C1.
193
- ... is the lifespan of b3o2$4bo$o$b3o!
- ... is the number of beehives that 52513M produces.
194
- ... is the number of decominoes with any form of symmetry.
- ... is the lifespan of a 48×1 rectangle.
195
- ... is the maximum population of the two-glider mess.
- ... is the number of decominoes with holes.
196
- ... is the period of the p196 pi-heptomino hassler and a bob2o$bo2bo$o3bo$b2o! shuttle.
197
- ... is the initial population of the methuselah Wilma.
39693/201 (≈197.48)
- ... is the L/MCPS of Wilma.
198
- ... is the number of blocks that the methuselah Eve produces.
31192/157 (≈198.68)
- ... is the L/MCPS of Edna.
≈198.8
- ... is the inverse frequency of the long boat among still lifes in a Catagolue soup.
199
200
- ... is the lifespan of the dove and the "trans-house-tie" in Life.
- ... is the larger of the two displacements of the Stable Storage Spaceship, moving at (200,7)/81976184.
- ... is the step time of Lx200.
- ... is the maximum number of generations Caterer's !identify command works for on Discord.
- ... is the minimum number of occurrences needed for a region to be included in census.rle.
201
- ... is the maximum population of the pi-heptomino.
- ... is the minimum population of sawtooth 201.
- ... is the period of a specific R-pentomino hassler that is also a glider gun.
- ... is the recovery time of Rx202.
- ... is the MCPS of Wilma.
- ... is the history envelope size of 2o5bo$o4bobo$7bo!.
202
- ... is the step time of Rx202.
- ... is the rank of the rarest 9-cell still life (long^3 snake) in list of common still lifes.
- ... is the index of the multum in parvo sequence in census.rle, zero-indexed.
- ... is the history envelope size of 2bo2bo$bo3bo$o4bo$o$b3o!, ranked #40 in census.rle.
- ... is a factor of 606, found (with slight variation) in the username eRroR_6o6.
203
- ... is the lifespan of the diehard b2o$b2o5$bo$3o$o2bo$b3o!.
- ... is the height of the original form of 1320P7.
204
- ... is the minimum population of 204P41.
206
- ... is the history envelope size of a line of 8.
- ... is the sum of the minimum populations of the 18 objects that can be synthesized in exactly 3 gliders (12+6+6+48+9+13+11+14+14+16+4+6+6+7+8+8+9+9)
- ... is the index of the L-hexomino (5o$o!) sequence in census.rle, zero-indexed.
207
- ... is the final population of the "27", in Dean Hickerson's Life Digits font, in Life.
208
- ... is the minimum population of the 8-glider Snark loop, which was the largest SKOP for a while.
- ... is the minimum population of 208P41, the form 204P41 was originally found in (for a few minutes).
- ... is the period of a specific pi-heptomino hassler.
22713/109 (≈208.38)
- ... is the L/MCPS of 22713M.
209
210
- ... is the period of a loafer gun that in a file that comes with Golly.
- ... is the minimum population of the 5-engine Cordership.
- ... is the minimum population of the period-33 glider gun.
- ... is 10 choose 4 (and also 10 choose 6), which means it's the number of ways to choose four or six B3, B5, S3, or S5 transitions out of 10.
- ... is the period of an oscillator consisting of two pi-heptominoes in B3/S23-c.
211
- ... is the number of 17-bit oscillators of any period.
- ... is the minimum population of Canada Grey.
- ... is the lifespan of 4b3o$2o3bo$2o!.
- ... is the number of blinkers that the methuselah Eve produces.
212
- ... is the minimum population of the 10-engine Cordership.
- ... is the minimum population of the period-34 glider gun.
212.8
- ... is the L/MCPS of 18088M.
213
- ... is the number of blinkers that the methuselah Iwona produces.
- ... is the minimum population of the 6-in-a-row Cordership.
25371/119 (≈213.20)
- ... is the L/MCPS of 25371Μ.
215
- ... is the larger dimension of the bounding box of the final ash of the acorn, excluding escaping gliders.
- ... ticks after the herschel in Honeylife, another herschel appears.
- ... is the post count of {censored}, expected to no longer be active.
216
- ... is the number of 20-bit period-3 oscillators.
- ... is the period of a gun that in a file that comes with Golly (metapixel-p216-gun.mc.gz).
- ... is the minimum population of the 8-engine Cordership.
- ... is the number of beehives that the methuselah 42100M produces.
- ... is Dave Greene's forum user ID.
35426/164 (≈216.01)
- ... is the L/MCPS of Fred.
217
- ... is the period of Raucci's p217.
- ... is the lifespan of b2o$o2bo$b2o2$3bo$2b2o$2bobo!, a glider hitting a beehive.
- ... is the number of blocks that the methuselah 32829M produces.
218
- ... is the lifespan of 2b3o$bo3bo$o5bo2b2o$o5bo2b2o$o5bo$bo3bo$2b3o!.
220
- ... is the period of a specific honey farm shuttle.
- ... is the number of beehives that the methuselah 50093M produces.
- ... is the total number of stars given in POTY 2013.
- ... is the denominator of a speed of a puffer (46c/220o) in B34c/S23, which evolves from century or bookend.
220.6
- ... is the L/I and L/MCPS of the R-pentomino.
222
- ... is the step time of Bx222, Entity Valkyrie's worst enemy.
223
- ... is the history envelope size of the active region hassled in Jason's p22.
225
- ... is the number of 16-bit pseudo-p2s.
- ... is a factor of 41625, found in the username lemon41625.
226
- ... is the population of the first known Garden of Eden pattern (in Life), which is also a polyomino.
227
- ... is the recovery time of F171.
- ... is the number of 16-bit pseudo-oscillators of any period.
228
- ... is the minimum population of the eight-glider Snark loop, setting an upper bound for all SKOPs of period 43+ in Life.
- ... is the lifespan of the B-heptomino in HighLife.
229
- ... is the number of blinkers that the methuselah Edna produces.
230
- ... is the population of 230P8 as it was found before being reduced to 180P8.
≈230.7
231
232
233
- ... is the minimum population of 233P3H1V0, the first known non-monotonic c/3o spaceship.
- ... is the number of blinkers that the methuselah 32829M produces.
234
- ... is the history envelope size of the original diehard.
235
- ... is the minimum population of the pufferfish spaceship.
236
- ... is the minimum population of Raucci's p217.
- ... is the maximum population of the blonk-tie sequence.
237
- ... is in the rulestring of B3/S237c (glife).
- ... is Adam P. Goucher's forum user ID.
238
- ... is the lifespan of the Iwona active region.
- ... is in the rulestring of EightLife, B3/S238.
- ... is the number of pages Random Posts had before being locked.
240
- ... is the number of 13-cell still lifes.
- ... is the denominator of several ships moving at 31c/240o.
- ... is Andrew Trevorrow's forum user ID.
241
- ... is the number of days between the first known p38 (44P38, January 12, 2022) and the first known p38 not based on the original one (p38 D8 honey farm hassler, September 10, 2022).
242
- ... is the history envelope size of octomino II.
- ... is the index of the sequence that is the active region of 116P101 in census.rle, zero-indexed.
- ... is the number of neighbors (excluding the cell itself) in a range-1 5D Moore neighborhood.
243
- ... is the mod of the p486 R-pentomino hassler.
- ... is the lifespan of the thunderbird.
- ... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a barge in Life.
244
- ... is the total number of 13-bit still lifes and oscillators combined.
- ... is the minimum population of 244P3, a reduction of 258P3.
245
- ... is the total number of 13-bit still lifes, oscillators, and spaceships combined.
- ... is in the rulestring of B368/S245.
- ... is the lifespan of bo$2o$obo$bo3b2o$5bo!
246
- ... is the period of the period-246 glider gun and related oscillator.
247
- ... is the lifespan of the I-heptomino.
249
- ... is the period of one pi-heptomino hassler.
251
252
- ... is the apgcode of the tub (xs4_252).
- ... is 10 choose 5, which means it's the number of ways to choose five B3, B5, S3, or S5 transitions out of 10.
253
- ... is the period of one R-pentomino hassler.
- ... is the apgcode of the boat (xs5_253).
- ... is the lifespan of the R-pentomino in Pedestrian Life.
254
- ... is the period of the following partial that will be completed when a p127 domino sparker is found:
| (click above to open LifeViewer) |
255
- ... is the maximum number of "on" states in Golly.
- ... is the history envelope size of o$o$o3bo$b3o!, ranked #37 in census.rle.
256
- ... is the bounding box area of a typical asymmetric Catagolue soup.
- ... is the maximum number of states in Golly.
- ... is the recovery time of the switch engine channel.
- ... is the index of the sequence that is the active region of 52P44 in census.rle, zero-indexed.
257
- ... is the minimum population of Soba.
258
- ... was at one time the number of specified on cells needed for the solution to the unique father problem.
- ... is the minimum population of 258P3.
260
- ... is the minimum population and in the name of sawtooth 260.
262
- ... is the step time of Rx262.
- ... is the lifespan of a 38×1 rectangle.
264
- ... is the period of the period-sextupled p44 pi-heptomino hassler.
268
- ... is the lifespan of the R-turner.
270
- ... is the recovery time of bronco.
- ... is three 90° turns.
271
- ... is the recovery time of Bx222, Entity Valkyrie's worst enemy.
- ... is currently the number of specified cells (on or off) needed for the solution to the unique father problem.
272
- ... is the final population of a 33×1 rectangle.
274
- ... is the lifespan of 3bo$2bobo$bo2bo$o2bo$bo!, ranked #63 in census.rle.
276
- ... is the period of one specific TL+G shuttle.
- ... is the lifespan of a 39×1 rectangle.
279
- ... is the number of 14-cell pseudo still lifes.
- ... is the final population of the "glider hits blinker" methuselah.[citation needed]
≈279.7
280
- ... is the period of the p280 U-turner hassler.
281
- ... is the index of the tub+queen bee found in the p576 R-pentomino hassler in census.rle, zero-indexed
282
- ... is the minimum population Sir Robin.
- ... is the period of one glider shuttle in DRH-oscillators.
286
- ... is 13 choose 3 (and also 13 choose 10), which means it's the number of ways to choose three or ten B4 or S4 transitions out of 13.
287
- ... is a factor of 2009, part of Haycat2009's username.
288
- ... is found in the apgcode of a linear growth pattern: yl288.
- ... is the minimum population of the p560 R-pentomino hassler.
289
- ... is the minimum population of the 7-in-a-row Cordership.
- ... is the history envelope size of bo$obo$bob3o!, ranked #45 in census.rle.
2602/9 (≈289.11)
- ... is the L/MCPS of the glider-blinker mess.
292
- ... is the number of generations it takes for 6b3ob3o$5bo$9bo2$6b3o$4b3o2$3bo$7bo$3ob3o! to reform itself (plus a lot of junk).
- ... is the final population of a 41×1 rectangle, using the minimum phase.
293
- ... is the total number of stars given in POTY 2016.
294
- ... is the index of the longest-lasting non-glider-emitting 3G collision in census.rle, zero-indexed. It also has its own thread from a new member.
295
- ... is the minimum population of 295P5H1V1.
296
- ... is the index of Thompson's methuselah in census.rle, zero-indexed.
298
- ... is the number of blocks that 42100M produces.
299
300
- ... is the smallest "bin" that Catagolue recognises for megasized (300h).
- ... is the period of one particular traffic light shuttle.
303
- ... is the minimum population of caber tosser 1.
- ... is a factor of 606, found (with slight variation) in the username eRroR_6o6.
305
- ... is the minimum population of pi orbital.
306
- ... was the minimum population for the smallest unconstructible still life when first found.
308
- ... is the maximum population of Sir Robin.
310
- ... is the period of a (60,20)c/310 puffer in B3/S236i.
42100/135 (≈311.85)
- ... is the L/MCPS of 42100M.
311
312
313
- ... is the minimum population of Anura.
314
- ... is in the username of simsim314 (Michael Simkin) and Mathemagician314.
316
- ... is the number of octominoes with no symmetry of any kind.
[317,1000)
317
- ... is the number of blinkers that the methuselah 42100M produces.
318
- ... is a dead giveaway that a stable pattern contains a beacon if it appears in an apgcode.
≈319.31
- ... is the inverse frequency of the long boat in a C1 Catagolue soup.
321
322
- ... is the period of a specific C2-symmetric pi reaction that is self-sustaining when a single block is removed. https://conwaylife.com/forums/viewtopic.php?f=2&t=1437&p=132962&hilit=p322#p132971
324
- ... is the bounding box (36×9) of the Gosper glider gun, the smallest known gun by bounding box.
- ... is the minimum population of the 13-engine Cordership.
- ... is the period of one known long bun hassler.
326
- ... is the minimum population of the p48 toad hassler.
42883/131 (≈327.4)
- ... is the L/MCPS of Homer.
329
- ... is the history envelope size of the U-turner.
330
- ... appears in apgcodes that use blocks as induction coils.
331
- ... is the total number of stars given in OCA DOTY 2018.
332
- ... is the history envelope size of bo$3o3$5b2o$5bo!, #32 in census.rle.
- ... is the population of the p4 reflector.
333
- ... is in the username erictom333.
- ... is a factor of 41625, found in the username lemon41625.
336
- ... is the census.rle index of the active region in Beluchenko's p40, zero-indexed.
339
- ... is the minimum population of 339P7H1V0.
343
- ... is the lifespan of the E-heptomino.
343 2/7
- ... is the average population of Anura.
345
- ... is the period of a specific p69 R-pentomino hassler that has no known stable supports but can be stabilized via Karel's p15.
See also
References
- ↑ Life Object Counts at Mark D. Niemiec's Life Page
External links
- Fun Facts (discussion thread) at the ConwayLife.com forums