ConwayLife.com

Kiran

If there are no intersections between edges in a graph, it is clearly planar.
The only place this graph can have an intersection is at the vertex between four cells, and that can only happen if all four cells around that vertex are occupied.
Thus, any still-life with a non-planar graph must contain ...

Kiran

It is strange how suddenly this pattern stabilizes:

Code: Select all

x = 31, y = 42, rule = B34-air5/S235c
3o$o$o36$29b2o$28bo$27bo$27bo!

Kiran

dvgrn wrote:The infinite growth record holders all produce switch-engine variants, not streams of gliders

Except when the switch engine does create a stream of gliders:

Code: Select all

x = 162, y = 146, rule = B3/S23
160bo$159bo$159b3o141$bo$3o$2bo!

Kiran

wwei23 wrote:How do I get rid of the debris?
x = 12, y = 3, rule = B2/S
o2b2o2b2o2bo$b2o6b2o$5b2o!

Use code tags for rle format, this allows use of the viewer.

Code: Select all

x = 12, y = 3, rule = B2/S
o2b2o2b2o2bo$b2o6b2o$5b2o!

Kiran

Is this the smallest p5 rotor (4 cells)?
x = 3, y = 3, rule = 23/4/5
.A$A.A$.A!

You are probably asking about the smallest p5 rotor in a two-state, isotropic, non-totalistic rule.
Obviously, p5 rotors in those rules cannot have 1 or 2 cells.
The three cell case is harder to prove.
For a three ...

Kiran

Is there any fundamental limit on how slow something can grow?
For example, would it be possible to create something that grows slower than the inverse Graham's Function?

Kiran

2. Why is cubic growth impossible in 2D space?
Look at this rule:
x = 49, y = 26, rule = B12345678/S012345678
20b3o3b3o$19bo2bo3bo2bo$4o18bo3bo18b4o$o3bo17bo3bo17bo3bo$o8bo12bo3bo
12bo8bo$bo2bo2b2o2bo25bo2b2o2bo2bo$6bo5bo7b3o3b3o7bo5bo$6bo5bo8bo5bo8b
o5bo$6bo5bo8b7o8bo5bo ...

Kiran

134 generation methusynthesis for Gustavo.

Code: Select all

x = 16, y = 12, rule = B3/S23
bo$2bo$2bo$3bo$b4o$o3bo$4b2o$o2bo2bo4b4o$7bo3bo3bo$8bo2bo$9bo2bo2bo$
10b2o!

Kiran

challenge: easier said than done, make a self-similar generations rule.
Does 34678/3678/2 count?
x = 240, y = 224, rule = 34678/3678/2
7b2o25b2o$7b2o25b2o$6b4o23b4o$6b3obo21bob3o$5b4obo21bob4o$5b5o23b5o$4b
6o23b6o$4b5obo21bob5o$3b6obo21bob6o$3b7o23b7o$2b8o23b8o$2b7obo21bob7o$
b9o23b9o$b9o23b9o ...

Kiran

If you run the attached pattern with the speed set to 2^8 (change the base step) and pressing "tab" repeatedly instead of running it, you will see that the wiggly lines clear up in the first few thousand generations, leaving two active boundaries.
The topmost boundary would evolve for a while, but ...

Kiran

Extrementhusiast wrote: It can, as there are one-square teleporters that can be included in the level.

If teleporters exist, why bother with the oscillators in the first place?

Kiran

Hmm... Does this count?
x = 19, y = 17, rule = B3/S23
4bo$4b3o$7bo$6b2o9b2o$17bo$15bobo$8b3o4b2o$7bo3bo$6bo5bo$7bo3bo$2b2o4b
3o$bobo$bo$2o9b2o$11bo$12b3o$14bo!
You can escape from the center cell but cannot go back in.

Edit: I am quite confused myself. You cannot go back in, right???
You indeed ...

Kiran

Voronoi Diagram rule:
#C [[ ZOOM 1 ]]
#C [[ THEME 6 ]]
x = 583, y = 297, rule = B123/S12345678
210bo4$360bo12$84bo399bo18$64bo8$174bo4$582bo8$476bo2$20bo6$506bo2$
402bo2$286bo28$564bo8$120bo6$172bo30$342bo117bo6$264bo16$200bo2$34bo4$
132bo18$154bo2$292bo22$482bo4$o8$580bo2$362bo177bo12$178bo26 ...

Kiran

Is there a corner design that is stable like the version above for attacks from inside, but has some Death-Star-like fatal flaw on the outside?
x = 247, y = 142, rule = B2e3ai4r/S23-a4-r6
93b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o ...

Kiran

I was trying to explode the ship:
x = 447, y = 65, rule = B3/S23
335bo$334b5o$333bo5bo$270b3o61b2o$270bo2b3o59bo2bo$207b2o2b2o57b5o55b
2o$144bo2b2o57b2o65b2o54b2ob2o$143bo63bob2o55b2o62bob2o$80b2obo59bo4bo
54bo6bo55bobo62bo3bo2bo$80b5o58bob2o56bo62bob2o3bo58b7o$17bo61bo3b2o
55b2ob3o56bo6bo57bo6bobo ...

Kiran

8-engine (7,7)c/81 p162 mod162 spaceship: x = 86, y = 74, rule = B36i/S2-i35i
14b3o$13b2o2bo$12bo3bo$13b3o9b2o$14bo9bo2bo$24bo2bo$25b2o2$4bo$3bobo$
2b2ob2o$3bo2bo$4bobo$5bo2$4bo$5b2o$5bobo31b2o$o3bo2bo30bo2bo$5bobo30bo
2bo$5b2o32b2o$4bo3$8b2o$8b2o4$2o69b2o$2o68bo2bo$b2o34b2o14b2o15bo2bo ...

Kiran

I ALSO FOUND A NEW STILL LIFE!!!
x = 29, y = 27, rule = B3/S23
18b2o$16bo2bo$16b3o2$11b2ob3o$5b2o4b2obo2bob2o$5b2o7bo2b2obo$11b3o7b2o
$3b6o2bo10bo$2bo6bobob3o5bo$bo2bo2b2obobo2bo5b2o$bob2o2bo2bobo10bob2o$
2obo5b2ob2o9b2obo$3bo23b2o$3b2o23bo$5bob2o18bo$5b2obo18b2o$9b2o12bob2o
$10bo12b2obo$9bo9bob2o ...

Kiran

An agar:
x = 220, y = 220, rule = B34-air/S234-air:T220,220
2o10bo9b2o10bo9b2o10bo9b2o10bo9b2o10bo9b2o10bo9b2o10bo9b2o10bo9b2o10bo
9b2o10bo$2o10b2o8b2o10b2o8b2o10b2o8b2o10b2o8b2o10b2o8b2o10b2o8b2o10b2o
8b2o10b2o8b2o10b2o8b2o10b2o$2bo8bob2o9bo8bob2o9bo8bob2o9bo8bob2o9bo8bo ...

Kiran

Anti-diehard:
x = 100, y = 100, rule = B3/S23
3bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo$bo96bo$2b96o$ob96obo$2b96o$2b96o$ob96obo$
2b96o$2b96o$ob96obo$2b96o$2b96o$ob96obo$2b96o$2b96o$ob96obo$2b96o$2b
96o$ob96obo$2b96o$2b96o$ob96obo$2b96o$2b96o ...

Kiran

drc made some log(t) growth patterns.
Can we make a t log(t) growth?

Kiran

A different breeder:
x = 151, y = 157, rule = B36i/S2-i35i
16bo5bo$15bobo3bobo$7b2o7bo5bo7b2o$8bo21bo102bo$8bobo6bo10bobo101bobo$
9b2o5b3o9b2o101bo3bo$15bo3bo112bobo$2bo11b2o3b2o105b3o9b3o$2b3o10bo3bo
106b3o2b2ob2o2b3o$5bo10b3o106bob2ob3ob3ob2obo$4b2o11bo113b2ob2o2$7bo$
6bobo117b2o11b2o ...

Kiran

The p6 is trivial, an oscillator must have at least one cell that oscillates at the full period to be non-trivial, your p6 has 10 p2 cells and 3 p3 cells.
Your p3s are stillaters with different stators.

Kiran

Since scissors wins against paper, might it not make sense for a scissors cell to hold its own against three paper neighbors?

Note that this transition only happens when the scissors cell does not have 2 or 3 scissors neighbours, so in the absence of paper cells, it would become empty anyway ...

Kiran

It would be nice to have a "friendly" version of Rock-Paper-Scissors.
Something like this (conditions edited to address 3 of each other kind case, may be reducable):
scissors cell
If it has exactly 3 rock neighbours and exactly 3 paper neighbours:
Turn into rock if it has 2 scissors neighbours ...

Kiran

Looks like Rock-Paper-Scissors has a bug:
x = 105, y = 83, rule = RockScissorsPaperLife
5$26.2A$26.5A$28.9A$33.2A2.18A$35.2A18.23A$37.A40.18A4.A$38.2A47.16A$
40.2A20.25A$41.21A$25.16A3.2A$18.7A21.2A$17.A30.3A$18.3A30.2A$21.3A
29.3A$23.16A17.3A$39.31A$62.3A5.24A$65.2A27.7A$67.3A29.A$70.4A24.A$
74 ...

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