ConwayLife.com

BlinkerSpawn

p18 glider gun, based on partial by Period1GliderGun

x = 73, y = 83, rule = B3/S23
rle

40 cells of population reduction, some of which comes at the cost of an extra row and column: x = 74, y = 84, rule = B3/S23
35b2o$36bo$33b3o7bo$33bo2b3o3bobo$28bob2obobo3bo3bo$28b2obobobo2b2o$
33b4o2b4o ...

BlinkerSpawn

cosh^-1(560/99) = 2.4180576 (+0.0000236)

BlinkerSpawn

Plasmath wrote: September 7th, 2023, 9:38 pm 25/8 - 1/√(2) ≈ 2.4178932188134525 (+6.468e-6)

74.97/π^3 ≈ 2.417897537 (+0.000004318)

haaaaaands wrote: October 2nd, 2023, 10:24 am [less than e112] to the power of [less than 6e8]
beat that

10^10^11 will do the job quite nicely.

BlinkerSpawn

The number of loaves left by the second fuse should go from 1.1038 * 10^1046 to somewhere around 121^(24*1.1038 * 10^1046).

What is that number in base 11?

Probably not worth writing out.

First fuse makes 10 more loaves (can you spot the optimization?):
rle

You turned a tub into a ...

BlinkerSpawn

The (extended) deadline of September 1st has now passed, which means that voting for Pattern of the Year 2022 has now closed!

lk050807 wrote: September 2nd, 2023, 12:00 pm #01 ***
#02 **
#03 ****
etcetera

Unfortunately, that means that this vote won't be counted in the final tabulations.

BlinkerSpawn

I notice that the rules do not require the previous pattern to stabilize.
Thus, I will add this cell to gen 13 of the previous pattern:
x = 12, y = 9, rule = LifeHistory
5.3A$4.2A.A$2.ACA.A$.4A6.A$2A$.2A$2.A$7.2A$7.2A!

This new pattern takes over a thousand ticks to stabilize - plenty of time ...

BlinkerSpawn

A potential change in build order that saves some sliding (and hopefully gliders): x = 1581, y = 74, rule = B3/S23
8$1555bo$1454bobo97bo$1454b2o98b3o$1455bo92bo$1549bo$1463bo83b3o$1243b
o10bo12bo193b2o93bo$1060bobo178bobo10bobo8b2o180bo14b2o91bo$1060b2o
180b2o6bo3b2o10b2o86bo93bo6bo99b3o ...

BlinkerSpawn

P13 B-heptomino hassler in 40G (original 46G synthesis by me, reduced to 40G by Blinkerspawn using boat-bits):
rle

Further reduction to 36G, with a more direct method of deleting bits: x = 413, y = 34, rule = B3/S23
410bobo$402bo7b2o$400bobo8bo$401b2o$335bo$336bo66bo$334b3o66bobo$397bo
5b2o ...

BlinkerSpawn

Using iNoMed's component shaves 12 gliders off of the star-based MW volcano synthesis:
#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xp5_oe1t28c88b52zql0q7ll96z0343056 costs 594 gliders (true).
#CLL state-numbering golly
x = 46, y = 38, rule = Life
7$38bo$36b2o$37b2o$8bo$8bo$6b2ob2o ...

BlinkerSpawn

Let's go!
rle

Relatively straightforward reduction by 24 [EDIT: Another -5, now that the ship can be constructed first]
[EDIT 2: Just make the beacon right away while you're at it, doofus]: x = 217, y = 34, rule = B3/S23
153bo$153bobo$153b2o$136bo$134bobo$135b2o$118bo$116bobo34bo$bobo113b2o ...

BlinkerSpawn

Assorted reductions to the circle of fire:
Obsoletion of the bipole step by Kazyan, concluding a line pursued by myself and MathandCode: x = 39, y = 41, rule = B3/S23
10bo$8bobo$9b2o2$28bo$26b2o$13bo13b2o$12bo$12b3o3$35bo$34bo$b2o31b3o$o
bo$2bo2$9bo$5b2obobobobo$5bob2obob2obo$10bo4bo$6b4ob4o$5bo4bo ...

BlinkerSpawn

I think that a synthesis component search engine is needed. How would we build one?

We've come pretty far in representing and storing components already - all that remains, really, is a suitable interface for allowing a user to easily input a set of restrictions for components to be checked ...

BlinkerSpawn

Another slinky-fish can turn the glider rake into a "racer" backrake: x = 59, y = 24, rule = MidLife
38.3A5.4A.BA$32.6A2.B4.5BA2.A$32.5BA2.A4.6A2.B$33.4A.BA11.3A$34.A$35.
B8.A4.A$32.A3.A7.B11.B$35.BA6.A13.B$29.3A3.BA7.B12.2A$29.B10.ABA2.10A
3B$29.A.A8.A15.A$30.AB8.A.A$46.4A.BA$4.A40.5BA2.A$2.AB25 ...

BlinkerSpawn

Yesterday on Puzzling Stack Exchange, I encountered this CA question about a curious Life variant: Cells are born as standard CGOL, but each tick that they remain alive they alternate between S23 (young, yellow) and S3 (old, orange).

A ruletable:
@RULE MidLife
@TABLE
n_states:3
neighborhood:Moore ...

BlinkerSpawn

Edit 6: Completed!
x = 24, y = 203, rule = B3/S23
11b2o$9bo4bo2$9bo4bo$9bo4bo$9b2o2b2o$8bobo2bobo$5bo3b2o2b2o3bo$4bo2b2o
2b2o2b2o2bo$4b3o4b2o4b3o$7bo8bo$2b4ob2o6b2ob4o$2bo2bobob2o2b2obobo2bo$
3bo16bo$3o5bo6bo5b3o$o2b3o2bo2b2o2bo2b3o2bo$2bo2bo2bo6bo2bo2bo$3bo4bob
4obo4bo$3o5bo6bo5b3o ...

BlinkerSpawn

Potential predecessors for some unsynthesized symmetric oscillators:

(This one is probably easy but I don't have time right now)
x = 33, y = 39, rule = B3/S23
7bo17bo$6b3o15b3o$5b2ob2o13b2ob2o$6b3o15b3o$b2o4bo17bo4b2o$obo27bobo$o
bo27bobo7$13b2o3b2o$12bo2bobo2bo$13bobobobo$8b2o4bo3bo4b2o ...

BlinkerSpawn

The only new pattern I haven't posted yet is this p488 wick:

#CXRLE Pos=-20,-61 Gen=545
x = 23, y = 115, rule = B3/S23:T50,132
9b2o$9bobo$9b3o6bo$7bobo7b2o$b2o5bo8bo$o4b2ob2o11b2o$bob3o10b3ob2o$b5o
bob2o9bo$6bobo$8b2o$8b3ob4o$8b2o3bobo$9bo3b2o$9b2ob3o$9bo2b3o$8b3o18$
9b2o$9bobo$9b3o6bo$7bobo7b2o ...

BlinkerSpawn

Bullet51 wrote: October 18th, 2020, 9:59 pm Dimerization of a known p9 oscillator:
Code: Select all
rle

You know the drill:

Code: Select all

x = 23, y = 12, rule = B3/S23
8bobobobo$7bob2ob2obo$5b3o7b3o$4bo4b2ob2o4bo$3bob4obobob4obo$3bobo4bob
o4bobo$b2obo2bo2b3o2bo2bob2o$o2bo5bo3bo5bo2bo$2o2b4obobobob4o2b2o$8bob
obobo$6bobobobobobo$6b2o3bo3b2o!

BlinkerSpawn

I found this final step for 128P10.2 but being a synthesis novice I could not synthesize the constellation (the problem is the eater-on-eaters, I couldn't find a way to synthesize them with the core blocks in place): rle
Can be reduced to this, which isn't quite simple enough to build with the ...

BlinkerSpawn

Most browsers support downloading webpages, try that.

BlinkerSpawn

Getting a glider out should be easy:

Code: Select all

x = 37, y = 19, rule = B3/S23
10b2o$10b2o2$14bo7bo$10b2obobo5bobob2o$10b2o4bo3bo4b2o$10b2o4bo3bo4b2o
$12b2o9b2o$b2ob3ob2o3bob3ob3obo3b2ob3ob2o$b2o4bo4bo11bo4bo4b2o$o2bob2o
23b2obo2bo$15b3ob3o$15b7o$13b2o7b2o2$13bo2bobobo2bo$17b3o$18bo$18bo!

BlinkerSpawn

Two nice Seeds of Destruction results and a simple construction, all [if I count correctly] 1G reductions:
x = 333, y = 58, rule = B3/S23
207b2o$207bobo$207bo$45bo$44bo$44b3o155b2o$60bo140bo2bo$42bo17bobo138b
o2bo$43bo16b2o140b2o112bo$41b3o273bo$68bo246b3o$66b2o137b3o6b3o$67b2o
136bo8bo$206bo8bo2 ...

BlinkerSpawn

Reduction of an oscillator posted by yujh in the Oscillator Discussion Thread:

Code: Select all

x = 10, y = 13, rule = Life
5b2o$5bo$7bo$3b4obo$2bo5bo$o2b2obob2o$2obo2bobo$3bo2bobo$3bobobo$4b2ob
obo$6bob2o$6bo$5b2o!

Can you spot the incredibly rare technique I've only been able to use once before?

BlinkerSpawn

Tail to at-claw, or something. Applies to some related still lifes. I forgot to drink a mug of Brain Juice this morning; there's probably a version at 1/3 the cost.

rle

As usual, some assembly required: x = 38, y = 26, rule = B3/S23
4bo$2bobo9bobo$3b2o9b2o$15bo2$9bo20bo$7bobo18b2o$8b2o19b2o ...

BlinkerSpawn

-1: x = 39, y = 50, rule = B3/S23
4bo$5bo$3b3o12bo$19bo$17b3o2$10bo15bo$11b2o13bobo$10b2o7bo6b2o$17b2o$
18b2o$8bo$6bobo$7b2o$22bo$21bobo$18bo2b2o13bo$16b5o15bobo$15bo5b2o13b
2o$6bo2bobo4b5o2bo$bo2bobo3b2o6bo2bobo4bo$b2o2b2o3bo10b2o5bobo$obo15bo
9b2o$18bo13b3o$18bo13bo$33bo2$19b2o$18bobo$17bobo$18bo2 ...

ConwayLife.com

Search found 1993 matches

Re: Gun Discussion Thread

Re: My number is larger [GAME]

Re: My number is larger [GAME]

Re: (Engineered) diehards

Re: POTY 2022 Voting Thread

Re: Cell chains (game and conjecture)

Re: Spacefiller Recipe Working Thread

Re: Synthesising Oscillators

Re: Synthesising Oscillators

Re: Synthesising Oscillators

Re: Synthesising Oscillators

Re: Synthesis component database

Re: MidLife

MidLife

Re: Oscillator Discussion Thread

Re: Synthesising Oscillators

Re: Soup search results

Re: Oscillator Discussion Thread

Re: Synthesising Oscillators

Re: I can't download Golly

Re: Spaceship Eaters

Re: Randomly enumerating glider syntheses

Re: Absolutely Useless Patterns Not Worthy Of Patterns Thread

Re: 20-bit still life syntheses

Re: Small Spaceship Syntheses