ConwayLife.com

Posted: **October 4th, 2023, 9:30 am**

confocaloid wrote: October 3rd, 2023, 3:55 pm
haaaaaands wrote: October 3rd, 2023, 12:51 pm square = cell because in most rules they're square
smol ship = glider because they're small xd
sandal = boat because it looks more like a sandal than a boat to me
octogonal = orthogonal because i make that "typo" a lot
Constillation: a constellation of still lives.
"There are no sandals in a constillation where every alive square has exactly two other alive squares octogonally adjacent to it."
Code: Select all
x = 19, y = 15, rule = LifeHistory
5.2A$5.2A2$3.4A$3.A2.A10.D$2A.A2.A.2A6.D.D$2A.4A.2A7.2D2$2A.2A$2A.2A$
8.2A$8.2A2$.2A5.2A$.2A5.2A!

and no smol ships since those aren't still lives in the first place xd

Posted: **October 7th, 2023, 5:27 am**

Freezing: The transformation of a spaceship into any non-moving stable or periodic object.
Unfreezing: The opposite of freezing.

Posted: **October 7th, 2023, 6:36 am**

haaaaaands wrote: October 3rd, 2023, 12:51 pm square = cell because in most rules they're square
smol ship = glider because they're small xd
sandal = boat because it looks more like a sandal than a boat to me
octogonal = orthogonal because i make that "typo" a lot

Square - a cell in Square Cell rules.
Small ship - a spaceship with a bounding box smaller than 10*10.
Octagon - a spacefiller in QOB rules.

Posted: **October 12th, 2023, 6:31 am**

Anaconda: Long python/Very long snake/Long long snake

Code: Select all

x = 6, y = 4, rule = B3/S23
2o$obo$3bobo$4b2o!

Posted: **October 14th, 2023, 11:17 am**

Glider bullet:

Code: Select all

x = 4, y = 3, rule = B3/S23
bobo$3o$3o!

Posted: **October 14th, 2023, 11:41 am**

Port: Long dock/Very long house/Long long house

Code: Select all

x = 7, y = 3, rule = B3/S23
b5o$o2bo2bo$2o3b2o!

Posted: **October 14th, 2023, 11:56 am**

Lemon: Loaf siamese loaf

Code: Select all

x = 5, y = 5, rule = B3/S23
2b2o$bo2bo$obobo$o2bo$b2o!

Posted: **October 14th, 2023, 12:08 pm**

I quad-loaf:

Code: Select all

x = 13, y = 13, rule = B3/S23
11bo$10bobo$9bo2bo$8bob2o$7bobo$6bo2bo$5bob2o$4bobo$3bo2bo$2bob2o$bobo
$o2bo$b2o!

L quad-loaf:

Code: Select all

x = 14, y = 10, rule = B3/S23
9bo$8bobo$7bo2bo$6bob2ob2o$5bobo2bo2bo$4bo2bo2bobo$3bob2o4bo$2bobo$bo
2bo$2b2o!

I tri-loaf:

Code: Select all

x = 10, y = 10, rule = B3/S23
bo$obo$o2bo$b2obo$3bobo$3bo2bo$4b2obo$6bobo$6bo2bo$7b2o!

V tri-loaf:

Code: Select all

x = 10, y = 7, rule = B3/S23
4bo$3bobo$3bo2bo$b2ob2obo$o2bo2bobo$bobo2bo2bo$2bo4b2o!

Posted: **October 15th, 2023, 3:08 am**

Eater 6 candidate 1:

Code: Select all

x = 12, y = 9, rule = B3/S23
$8b2o$3b2o2bobo$3bo3bo$4b3ob4o$6bobo2bo$2b3obobo$bo2bob2o$b2o!

Posted: **October 15th, 2023, 3:16 am**

HerscheltheHerschel wrote: October 12th, 2023, 6:31 am

HerscheltheHerschel wrote: October 14th, 2023, 11:17 am

HerscheltheHerschel wrote: October 14th, 2023, 11:41 am

HerscheltheHerschel wrote: October 14th, 2023, 11:56 am

HerscheltheHerschel wrote: October 14th, 2023, 12:08 pm

HerscheltheHerschel wrote: October 15th, 2023, 3:08 am

Congratulations on 6-tuple post.

Scattership: a spaceship that works by scattering stationary objects here and there, and then cleaning them back again.

Code: Select all

x = 4, y = 5, rule = B3aeijr4ek5kr6c8/S2-i3-a4ceinrtz5acj6-ek7
3bo$3o$o$obo$b2o!

Posted: **October 15th, 2023, 3:46 am**

O quad-pond:

Code: Select all

x = 10, y = 10, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2ob2o$o2bo2bo2bo$o2bo2bo2bo$b2ob2ob2o$3bo2bo$3b
o2bo$4b2o!

I quad-pond:

Code: Select all

x = 13, y = 13, rule = B3/S23
b2o$o2bo$o2bo$b2ob2o$3bo2bo$3bo2bo$4b2ob2o$6bo2bo$6bo2bo$7b2ob2o$9bo2b
o$9bo2bo$10b2o!

L quad-pond:

Code: Select all

x = 10, y = 13, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2o$o2bo$o2bo$b2ob2o$3bo2bo$3bo2bo$4b2ob2o$6bo2b
o$6bo2bo$7b2o!

Posted: **October 15th, 2023, 3:52 am**

HerscheltheHerschel wrote: October 15th, 2023, 3:46 am O quad-pond:

Code: Select all

x = 10, y = 10, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2ob2o$o2bo2bo2bo$o2bo2bo2bo$b2ob2ob2o$3bo2bo$3b
o2bo$4b2o!

I quad-pond:

Code: Select all

x = 13, y = 13, rule = B3/S23
b2o$o2bo$o2bo$b2ob2o$3bo2bo$3bo2bo$4b2ob2o$6bo2bo$6bo2bo$7b2ob2o$9bo2b
o$9bo2bo$10b2o!

J quad-pond:

Code: Select all

x = 10, y = 13, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2o$o2bo$o2bo$b2ob2o$3bo2bo$3bo2bo$4b2ob2o$6bo2b
o$6bo2bo$7b2o!

R quin-pond:

Code: Select all

x = 10, y = 13, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2o$o2bo$o2bo$b2ob2o$3bo2bo$3bo2bo$b2ob2ob2o$o2b
o2bo2bo$o2bo2bo2bo$b2o4b2o!

Posted: **October 15th, 2023, 6:28 am**

unname4798 wrote: October 15th, 2023, 3:52 am

HerscheltheHerschel wrote: October 15th, 2023, 3:46 am O quad-pond:

Code: Select all

x = 10, y = 10, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2ob2o$o2bo2bo2bo$o2bo2bo2bo$b2ob2ob2o$3bo2bo$3b
o2bo$4b2o!

I quad-pond:

Code: Select all

x = 13, y = 13, rule = B3/S23
b2o$o2bo$o2bo$b2ob2o$3bo2bo$3bo2bo$4b2ob2o$6bo2bo$6bo2bo$7b2ob2o$9bo2b
o$9bo2bo$10b2o!

J quad-pond:

Code: Select all

x = 10, y = 13, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2o$o2bo$o2bo$b2ob2o$3bo2bo$3bo2bo$4b2ob2o$6bo2b
o$6bo2bo$7b2o!

R quad-pond:

Code: Select all

x = 10, y = 13, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2o$o2bo$o2bo$b2ob2o$3bo2bo$3bo2bo$b2ob2ob2o$o2b
o2bo2bo$o2bo2bo2bo$b2o4b2o!

That is a quin-pond, not a quad-pond.

Posted: **October 15th, 2023, 7:18 am**

Block-barge eater/BB eater:

Code: Select all

x = 13, y = 10, rule = B3/S23
6bo3b2o$5bobo3bo$4bobo3bo$2obobo3bo$2obo2b4obo$4bobo3bobo$2ob2o2bo2bo
bo$bobo2b2o3bo$bobo$2bo!

Posted: **October 19th, 2023, 12:31 pm**

Self-destructing reflector: A (non-)reflector which reflects spaceships (mostly gliders) towards itself.

Posted: **October 19th, 2023, 12:37 pm**

HerscheltheHerschel wrote: October 19th, 2023, 12:31 pm Self-destructing reflector: A reflector which reflects spaceships (mostly gliders) towards itself.

That would be a non-reflector (because of the "without suffering permanent damage" part).

Growing reflector: a non-reflector that reflects growing spaceships. (Somewhat confusing, because it is not the (non-)reflector that would grow, but would that really matter by this point?)

Posted: **October 19th, 2023, 12:54 pm**

confocaloid wrote: October 19th, 2023, 12:37 pm
HerscheltheHerschel wrote: October 19th, 2023, 12:31 pm Self-destructing reflector: A reflector which reflects spaceships (mostly gliders) towards itself.
That would be a non-reflector (because of the "without suffering permanent damage" part).

Growing reflector: a non-reflector that reflects growing spaceships. (Somewhat confusing, because it is not the (non-)reflector that would grow, but would that really matter by this point?)

Thank you! I edited it.

Posted: **October 22nd, 2023, 1:15 pm**

Line attachment: A pattern that can be attached to a one-cell-thick line to prevent it from replicating.

Posted: **October 25th, 2023, 5:26 am**

[terrible pun]

An eisoptrophobic cellular automaton is invariant under C4 but is not isotropic.

[/terrible pun]

There are two reasons for choosing that name:
- It sounds like a lengthened version of ‘isotropic’
- Eisoptrophobia is a fear of mirrors - when a random configuration is reflected in any way, the behaviour changes. However, when it is rotated, the behaviour is the same, only rotated.

Hence isotropic CA are a subset of anisotropic CA, and eisoptrophobic CA are also a subset of anisotropic CA, but isotropic CA are not a subset of eisoptrophobic CA.

I am extending this to propose terms for CA which are invariant under different symmetries (WIP):
- D8: isotropic
- C4: eisoptrophobic
- D4+: rookic/orthogonalic
- D4X: bishopic/diagonalic
- C2: I have no ideas for this
- D2|: I have no ideas for this
- D2/: I have no ideas for this
- C1: anisotropic

Posted: **October 25th, 2023, 8:13 am**

H. H. P. M. P. Cole wrote: October 25th, 2023, 5:26 am An eisoptrophobic cellular automaton is invariant under C4 but is not isotropic.

H. H. P. M. P. Cole wrote: October 25th, 2023, 5:26 am Hence isotropic CA are a subset of anisotropic CA, and eisoptrophobic CA are also a subset of anisotropic CA, but isotropic CA are not a subset of eisoptrophobic CA.

For chiral rules that are not necessarily isotropic, if I counted correctly (edit: 4z was missing) there are 140 individually toggleable conditions instead of 102 Hensel conditions (19 out of 51 neighbourhoods are chiral: 2k 2a 3n 3q 3j 3r 4k 4a 4n 4y 4j 4r 4z 5n 5q 5j 5r 6k 6a). So e.g. tlife (B3/S2-i34q) would remain two conditions from Life, but LeapLife (B2n3/S23-q) would become three conditions from Life since S3q is chiral.
viewtopic.php?f=11&t=2941
viewtopic.php?p=107086#p107086
viewtopic.php?p=73425#p73425

Posted: **October 27th, 2023, 9:55 pm**

An isotropic cellular automaton is described as layer-totalistic or onion, when there is a maximally symmetric partition of the neighbourhood into disjoint 'layers', such that the new state of a cell depends only on the total counts of alive cells in every 'layer' (and does not depend on the specific configuration of cells within a 'layer').

"Maximally symmetric" means that the partition of the neighbourhood into 'layers' must have the same symmetries as the neighbourhood itself, i.e. would remain unchanged under rotations and reflections.

All Life-like cellular automata are layer-totalistic with two layers (one layer is the central cell itself and another layer is the eight neighbours).

An old interesting example is the subset of two-state range-1 isotropic CA where the orthogonal neighbours are counted separately from the diagonal neighbours. In this case, the layers are the central cell itself (0..1), the orthogonal neighbours (0..4) and the diagonal neighbours (0..4), leading to 2 x 5 x 5 = 50 distinguishable conditions and 2^50 possible CA definitions.

This can be further extended to higher ranges, with the neighbourhood partitioned into layers either by the range or by the displacement. (In the latter case, a range-2 onion CA on the square grid could have up to 6 layers.)

Related:
CWCFSMNCA https://web.archive.org/web/20150422212 ... words.html
A discussion of CA definition formats https://web.archive.org/web/19990224055 ... /0007.html

Naszvadi wrote: April 22nd, 2019, 7:10 am Moore-neighbourhood, E^2 lattice:
There is a nontrivial set of cellular automata rules between isotropic nontotalistic and outer-totalistic set, where only the number of diagonal and orthogonal neigbours count. Using Hensel-notation, only the following rulestring parts are valid in a birth or survival section:

0 diagonal, 0 orthogonal: 0

1 d., 0 o.: 1c

0 d., 1 o.: 1e

2 d., 0 o.: 2cn

1 d., 1 o.: 2ak

0 d., 2 o.: 2ei

3 d., 0 o.: 3c

2 d., 1 o.: 3inqy

1 d., 2 o.: 3akjr

0 d., 3 o.: 3e

...
and so on.
Is it worth to list already investigated nontotalistic rules if they fit into the above category?

Posted: **November 2nd, 2023, 10:05 am**

This was posted in another thread, but it's not the main focus of the post, so it will be more prominent here.

Modern era: the time during when the forum exists. 2009 (well, very late 2008) to present.

Posted: **November 3rd, 2023, 12:41 pm**

Long phi spark:

Code: Select all

x = 6, y = 4, rule = B3/S23
b4o$o4bo$o4bo$b4o!

Very long phi spark:

Code: Select all

x = 7, y = 4, rule = B3/S23
b5o$o5bo$o5bo$b5o!

Posted: **November 3rd, 2023, 3:35 pm**

HerscheltheHerschel wrote: November 3rd, 2023, 12:41 pm Long phi spark:
Code: Select all
x = 6, y = 4, rule = B3/S23
b4o$o4bo$o4bo$b4o!
Very long phi spark:
Code: Select all
x = 7, y = 4, rule = B3/S23
b5o$o5bo$o5bo$b5o!

Curiously, very very very long phi spark is not a spark, in the same way as overweight spaceship is not a spaceship:

Code: Select all

x = 9, y = 4, rule = B3/S23
b7o$o7bo$o7bo$b7o!

Posted: **November 4th, 2023, 2:44 pm**

Blasting cap: Generation 1 of pi-heptomino, which can sometimes be used as an induction coil and still life component. The name is inspired by the MIT term blasting cap for the pi-heptomino, because of generation 1. Not to be confused with cap.
Deblaster: A collision that turns a blasting cap into a cap.
Blaster: A collision that turns a cap into a blasting cap.
Radical: An unpaired induction coil. This term is derived from chemistry.
Pirates:

Code: Select all

x = 4, y = 9, rule = B3/S23
b3o$o2bo$o2bo$3o2$3o$o2bo$o2bo$b3o!

Scorpion with wing:

Code: Select all

x = 6, y = 8, rule = B3/S23
2b2o$bo2bo$b2obo$4b2o$b3o$o2bo$obo$bo!

Scorpion with dove:

Code: Select all

x = 7, y = 8, rule = B3/S23
3b2o$2bo2bo$2b2obo$5b2o$2b3o$bo2bo$o2bo$b2o!

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