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Infinite growth patterns easy to memorize and enter by hand

https://conwaylife.com/forums/viewtopic.php?f=2&t=3777

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Re: Infinite growth patterns easy to memorize and enter by hand

Posted: January 30th, 2019, 12:45 pm
by pcallahan
Saka wrote: THCTLH and UTHCTLON in a small 3x3 font both make a Glider-Producing SE
Great font! Not only minimal, but you can write Cthulhu in big block letters.

I am not sure what letters are legal. I avoided "I" to eliminate fixed/variable width ambiguity. Here is the complete font I tried:

CHJKLnOrSTUXYZ

Code: Select all

x = 55, y = 3, rule = B3/S23
3obobo3bobobobo3b3ob3ob3o2b2ob3obobobobobobob2o$o3b3obobob2o2bo3bobobobobo4bo3bo2bobo2bo3bo3bo$3obobob3obobob3obobob3obo3b2o3bo2b3obobo2bo3b2o!
The first switch-engine producing patterns I found were at 5 characters:
LCrXL

Code: Select all

x = 19, y = 3, rule = B3/S23
o3b3ob3obobobo$o3bo3bo4bo2bo$3ob3obo3bobob3o!
LHKKn

Code: Select all

x = 19, y = 3, rule = B3/S23
o3bobobobobobob3o$o3b3ob2o2b2o2bobo$3obobobobobobobobo!
THXnC

Code: Select all

x = 19, y = 3, rule = B3/S23
3obobobobob3ob3o$bo2b3o2bo2bobobo$bo2bobobobobobob3o!
TYKJO

Code: Select all

x = 19, y = 3, rule = B3/S23
3obobobobo3bob3o$bo3bo2b2o2bobobobo$bo3bo2bobob3ob3o!
UHHJY

Code: Select all

x = 19, y = 3, rule = B3/S23
obobobobobo3bobobo$obob3ob3obobo2bo$3obobobobob3o2bo!
nHHJY

Code: Select all

x = 19, y = 3, rule = B3/S23
3obobobobo3bobobo$obob3ob3obobo2bo$obobobobobob3o2bo!
rCLXr

Code: Select all

x = 19, y = 3, rule = B3/S23
3ob3obo3bobob3o$o3bo3bo4bo2bo$o3b3ob3obobobo!
rHKKU

Code: Select all

x = 19, y = 3, rule = B3/S23
3obobobobobobobobo$o3b3ob2o2b2o2bobo$o3bobobobobobob3o!
THXnC and some others produce the glider-shooting variety.

Here is the lexically first one I found that starts with "CTHULHU" (I tried internal insertions as well, but it did not shorten the string).

CTHULHUCUYSH

Code: Select all

x = 47, y = 3, rule = B3/S23
3ob3obobobobobo3bobobobob3obobobobo2b2obobo$o4bo2b3obobobo3b3obobobo3bobo2bo3bo2b3o$3o2bo2bobob3ob3obobob3ob3ob3o2bo2b2o2bobo!
I hope I have not awakened the Old Ones!

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: January 30th, 2019, 3:51 pm
by pcallahan
Two Cthulhu patterns that produce glider-shooting switch engines:

SCTHULHUOZLO

Code: Select all

x = 47, y = 3, rule = B3/S23
b2ob3ob3obobobobobo3bobobobob3ob2o2bo3b3o$bo2bo4bo2b3obobobo3b3obobobobo2bo2bo3bobo$2o2b3o2bo2bobob3ob3obobob3ob3o2b2ob3ob3o!
TYYSrCTHULHU

Code: Select all

x = 47, y = 3, rule = B3/S23
3obobobobo2b2ob3ob3ob3obobobobobo3bobobobo$bo3bo3bo3bo2bo3bo4bo2b3obobobo3b3obobo$bo3bo3bo2b2o2bo3b3o2bo2bobob3ob3obobob3o!

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: January 30th, 2019, 4:09 pm
by Macbi
pcallahan wrote:SCTHULHUOZLO
That one is nearly pronounceable, at least in the sense that "scth" is no harder to say than the already-difficult "cth".

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: January 30th, 2019, 4:51 pm
by pcallahan
Duh! Of course I can add capital I, and get this one with 4 characters and initial population 25.

UJZI

Code: Select all

x = 15, y = 3, rule = B3/S23
obo3bob2o2b3o$obobobo2bo3bo$3ob3o2b2ob3o!
Nothing better with Cthulhu, though.

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: January 30th, 2019, 5:38 pm
by pcallahan
Macbi wrote:
pcallahan wrote:SCTHULHUOZLO
That one is nearly pronounceable, at least in the sense that "scth" is no harder to say than the already-difficult "cth".
Perhaps it needs additional Lovecraftian punctuation: S'Cthulhu Oz! Lö!

Which probably means something like "Wake up, big guy! Breakfast is served."

(Use with caution.)

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: January 31st, 2019, 5:33 am
by Saka
pcallahan wrote:
Saka wrote: THCTLH and UTHCTLON in a small 3x3 font both make a Glider-Producing SE
Great font! Not only minimal, but you can write Cthulhu in big block letters.
...
The only letters I originally made were actually just CHIJLnOrTUY:

Code: Select all

x = 43, y = 3, rule = B3/S23
3obobob3ob3obo3b3ob3ob3ob3obobobobo$o3b3o2bo3bo2bo3bobobobobo4bo2bobob
3o$3obobob3ob2o2b3obobob3obo4bo2b3o2bo!
THCTOUNL, GPSE

Code: Select all

x = 31, y = 3, rule = B3/S23
3obobob3ob3ob3obobob3obo$bo2b3obo4bo2bobobobobobobo$bo2bobob3o2bo2b3ob
3obobob3o!
THCTRH, SE. Very similar to THCTLH which makes a GPSE

Code: Select all

x = 23, y = 3, rule = B3/S23
3obobob3ob3ob3obobo$bo2b3obo4bo2bo3b3o$bo2bobob3o2bo2bo3bobo!
NCOURLUU

Code: Select all

x = 31, y = 3, rule = B3/S23
3ob3ob3obobob3obo3bobobobo$obobo3bobobobobo3bo3bobobobo$obob3ob3ob3obo
3b3ob3ob3o!
Pronouncable: RORJUC, SE

Code: Select all

x = 23, y = 3, rule = B3/S23
3ob3ob3ob3obobob3o$o3bobobo4bo2bobobo$o3b3obo3b2o2b3ob3o!

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: February 1st, 2019, 11:53 pm
by Saka
UCONLHNT, SE

Code: Select all

x = 31, y = 3, rule = B3/S23
obob3ob3ob3obo3bobob3ob3o$obobo3bobobobobo3b3obobo2bo$3ob3ob3obobob3ob
obobobo2bo!

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: March 1st, 2019, 8:05 am
by Hunting

Code: Select all

x = 11, y = 5, rule = B3/S23
4bobob3o$4bobo3bo$3ob3ob3o$2bo5bo$3ob3obo!
What if we search for patterns ONLY made by these strange characters?

The first one... ɔ, maybe?

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: March 1st, 2019, 1:26 pm
by pcallahan
Hunting wrote: The first one... ɔ, maybe?
Sure, but you need some way to remember them. Maybe they are similar enough to math symbols (or the APL character set!).

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: March 1st, 2019, 9:00 pm
by PkmnQ
Of course, you ignore

Code: Select all

x = 8, y = 6, rule = B3/S23
6bo$4bob2o$4bobo$4bo$2bo$obo!
and pretend it's hard to remember.

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: March 1st, 2019, 9:06 pm
by pcallahan
PkmnQ wrote:Of course, you ignore

Code: Select all

x = 8, y = 6, rule = B3/S23
6bo$4bob2o$4bobo$4bo$2bo$obo!
and pretend it's hard to remember.
It is hard to pronounce anyway. I agree that small patterns can be memorized visually, but it is a little hard to explain to people.

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: July 19th, 2019, 2:02 pm
by Moosey
Sorry to necropost to a degree, but here are a couple results related to Cthulhu, all related to saka's thctl:
Actually easy to remember, very close to a famous word (Cthulhu of course) and somewhat easy to pronounce: cothctlohu -- I'd say it's pronounced koth-kit-all-oh-who or kɑθ-kɪdəl-oʊ-hu:. I can verify it's easy to remember since I drew this by hand rather than copy-pasting.

Code: Select all

x = 39, y = 3, rule = B3/S23
3ob3ob3obobob3ob3obo3b3obobobobo$o3bobo2bo2b3obo4bo2bo3bobob3obobo$3ob
3o2bo2bobob3o2bo2b3ob3obobob3o!
Not easy to remember but it produces a GPSE:
Chhthctlulo mythos

Code: Select all

x = 69, y = 3, rule = B3/S23
3obobobobob3obobob3ob3obo3bobobo3b3o2b5obobob3obobob3ob2o$o3b3ob3o2bo
2b3obo4bo2bo3bobobo3bobo2bobobob3o2bo2b3obobo$3obobobobo2bo2bobob3o2bo
2b3ob3ob3ob3o2bobobo2bo3bo2bobob3ob2o!
Chhthctlulo on its own produces a clean SE:

Code: Select all

x = 43, y = 3, rule = B3/S23
3obobobobob3obobob3ob3obo3bobobo3b3o$o3b3ob3o2bo2b3obo4bo2bo3bobobo3bo
bo$3obobobobo2bo2bobob3o2bo2b3ob3ob3ob3o!
Though so does

Code: Select all

x = 23, y = 3, rule = B3/S23
3obobob3ob3obo3b3o$bo2b3obo4bo2bo3bobo$bo2bobob3o2bo2b3ob3o!
Others can be found here.
Also, cothctlohu O makes a GPSE:

Code: Select all

x = 47, y = 3, rule = B3/S23
3ob3ob3obobob3ob3obo3b3obobobobo5b3o$o3bobo2bo2b3obo4bo2bo3bobob3obobo
5bobo$3ob3o2bo2bobob3o2bo2b3ob3obobob3o5b3o!
As does this crazy save in the direction of remembering it:

Code: Select all

x = 67, y = 3, rule = B3/S23
3ob3ob3obobob3ob3obo3b3obobobobo5b3obo7b3ob3obo$o3bobo2bo2b3obo4bo2bo
3bobob3obobo5bobobo7bobobobobo$3ob3o2bo2bobob3o2bo2b3ob3obobob3o5b3ob
3o5bo3bobob3o!
Cothctlohu ol pal

Though oddly Cothctlohu ol pal is a completely different reaction-- the GPSE fires gliders on its right side as opposed to the cothctlohu o firing them on the left.

Not really related to Cthulhu but here's a relative of saka's stuff:

Code: Select all

x = 27, y = 3, rule = B3/S23
3obobob3ob3obo3b3ob3o$bo2b3obo4bo2bo3bobo2bo$bo2bobob3o2bo2b3ob3o2bo!
Though thctlot would be a good name for a great old one. (Thick-till-lot)
I'll remember that when I write some literature.

This one is *Almost* a good set (backwards cothctlohu, basically) but even if we fixed the backwards c somehow, what kind of name is uho7tchtolo?

Code: Select all

x = 43, y = 3, rule = B3/S23
obobobob3ob3ob3ob3obobob3ob3obo3b3o$obob3obobo3bo2bo4bob3o2bo2bobobo3b
obo$3obobob3o3bo2bo2b3obobo2bo2b3ob3ob3o!
Trivial-ish modification of thctr:

Code: Select all

x = 27, y = 3, rule = B3/S23
3obobob3ob3ob3ob2o2bobo$bo2b3obo4bo2bo4bo2bobo$bo2bobob3o2bo2bo4b2ob3o
!
Thctrzu cometh!


Here's a case of a SE which is destroyed later: (not infinite growth, but pretty cool)

Code: Select all

x = 379, y = 3, rule = B3/S23
3obobob3obo3b3ob3ob3obo3bobob3ob3ob3ob3ob3obo3b3ob3obobobo3b3ob3obobob
3ob3obobobobob3ob3ob3ob3ob3obobob3obo3bobobobobo3bobobobobobob3ob3ob3o
bo3b3ob3o2b2ob3obobob3ob3obobob3obobob3ob3ob3obobob3ob3obo3b3ob3ob3obo
bob3ob3obo3bobob3ob3ob3ob3ob3ob3ob3obo3bobobobob3obobob3obobob3ob3ob3o
b3obobob3ob3obo3bobob3obobobobo$bo2b3o2bo2bo3bo3bo3bobobo3bobobobobobo
bo3bobo2bo2bo3bo4bo2b3obo3bobobo3bobobo4bo2b3obobobobobobobobobobobo3b
3obobobo3b3obobobo3b3obobob3obo3bobo2bo2bo3bobobobo2bo2bobobobobo4bo2b
3obobob3obo3bobo2bo2b3obo3bo3bo3bobobobo2bo2b3obo4bo2bo3b3obobobobobob
o2bo2bobobo4bo2bo3bobob3obobob3obobob3obobobobobobo2bo2b3obo4bo2bo3b3o
bobob3obobo$bo2bobob3ob3ob3obo3b3ob3ob3obobob3obo3b3o2bo2b3ob3o2bo2bob
ob3ob3obo3b3ob3o2bo2bobob3obobobobob3obobob3obobob3ob3obobob3ob3obobob
3obobob3ob3o2bo2b3ob3obobob2o2b3ob3ob3o2bo2bobob3obobob3ob3o2bo2bobobo
3bo3b3ob3ob3o2bo2bobob3o2bo2b3obobob3ob3ob3o2bo2b3ob3o2bo2b3ob3obobob
3obobob3obobobobobobob3o2bo2bobob3o2bo2b3obobob3obobob3o!

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: July 19th, 2019, 10:07 pm
by Saka
IMO "rorJuc" is easier to remember, explain, and draw.

Code: Select all

x = 23, y = 3, rule = B3/S23
3ob3ob3ob3obobob3o$o3bobobo4bo2bobobo$o3b3obo3b2o2b3ob3o!

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: July 19th, 2019, 10:28 pm
by dvgrn
Saka wrote:IMO "rorJuc" is easier to remember, explain, and draw...
Has anyone scanned all the two-row and three-row combinations of letters? Maybe there's a 9-letter word that makes an infinite-growth pattern if you arrange it in a 3x3 square with 1-cell margins, for example?

It could be read vertically, horizonally, back-and-forth, spiral-into-the-center, etc., and it would still be relatively memorable and drawable.

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: July 20th, 2019, 8:48 am
by Saka
dvgrn wrote: Has anyone scanned all the two-row and three-row combinations of letters? Maybe there's a 9-letter word that makes an infinite-growth pattern if you arrange it in a 3x3 square with 1-cell margins, for example?

It could be read vertically, horizonally, back-and-forth, spiral-into-the-center, etc., and it would still be relatively memorable and drawable.
This gave me an idea, which was to see if any common English words can make infinite growth in a set font.
I used the "How Your Username Evolves" font, and found a list of the top 10000 most common English words. Unfortunately there were no results, we need a bigger list, or a different font, or a different language.

Anyone have wordlists that only use the Latin alphabet? (Just letters, no others like -'".,/), also please make it all lowercase, thanks!)

EDIT: Aha!
http://www.mieliestronk.com/corncob_lowercase.txt
EDIT: Welp, none found

EDIT:
From the How Your Username Evolves thread:

Code: Select all

x = 43, y = 7, rule = B3/S23
4ob4ob5o2b5o2b8o2b8o$o2bobo2bo2bo2bo3bo2bo3bo2bo2bo3bo2bo2bo$o4bo5bo2b
o3bo2bo3bo2bo2bo3bo2bo2bo$4ob4o2b4o3b4o3bo2bo2bo3bo2bo2bo$3bo4bo2bo2bo
3bo2bo3bo2bo2bo3bo2bo2bo$o2bobo2bo2bo2bo3bo2bo3bo2bo2bo3bo2bo2bo$4ob4o
b2o2b2ob2o2b2ob2ob2ob3ob2ob2ob3o!

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: July 20th, 2019, 9:42 am
by Moosey
Saka and I (or maybe not saka) are working on a <nope>canonical</nope> extended font representing all letters. Right now, as of 1:41 PM UTC it is:

Code: Select all

x = 121, y = 19, rule = B3/S23
3obo4b2o6b2ob3ob3ob3ob2o6b2o3bo2b3obobo5bo3bo3bobob2obobo2b2o5bobob2ob
obob3o5b2o2bobob3ob2o$o3b2o2b2o6b3o2bo2bobobo3bobo5bobobobobobob2o6bob
obo3b3ob2ob3o2bo6bobobo3bo3bo6b2o2bobo2bo3bo$3o2b2obo8bo2b2o2b3obo3b2o
6b3obobobobobobo5b3ob3o2bo2bo2bobob2o7bo2b2obobo2bo8bob3ob3o2b2o14$bo
2b2o2b3ob2o2b2o2b2obo3bobob3ob3obobobo4b2ob3ob3ob2ob2o2b3o2b2ob3obobob
obo3bobobobobob2o$obobobobo3bobobo2b3obobob3o2bo3bo2b2o2bo3b2o2bobobob
ob2ob2o2bo4bo3bo2bobobobo2b2o2bo2b3o2bo$obob3ob3ob2o2b2o2bo2b3obobob3o
b2o2bobob3obo3bobob3obo4bobo3b2o3bo2b3o2bo2b2o2bobo2bo3b2o!
Later updates can be seen in the random posts thread.

Note that saka's font is a subset of this one.

EDIT:
Stole an E from a font by testitem.

Code: Select all

x = 122, y = 19, rule = B3/S23
3obo4b2o6b2ob3ob3ob3ob2o6b2o3bo2b3obobo5bo3bo3bobob2obobo2b2o5bobob3ob
obob3o5b2o2bobob3ob2o$o3b2o2b2o6b3o2bo2bobobo3bobo5bobobobobobob2o6bob
obo3b3ob2ob3o2bo6bobob2o3bo3bo6b2o2bobo2bo3bo$3o2b2obo8bo2b2o2b3obo3b
2o6b3obobobobobobo5b3ob3o2bo2bo2bobob2o7bo2b3obobo2bo8bob3ob3o2b2o14$b
o2b2o2b3ob2o2b3o2b2obo3bobob3ob3obobobo4b2ob3ob3ob2ob2o2b3o2b2ob3obobo
bobo3bobobobobob2o$obobobobo3bobob2o2b3obobob3o2bo3bo2b2o2bo3b2o2bobob
obob2ob2o2bo4bo3bo2bobobobo2b2o2bo2b3o2bo$obob3ob3ob2o2b3o2bo2b3obobob
3ob2o2bobob3obo3bobob3obo4bobo3b2o3bo2b3o2bo2b2o2bobo2bo3b2o!

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: July 20th, 2019, 9:48 am
by Saka
what? why am I working on it? I dont want this to be the "canonical" font (Does such a thing exist?)!

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: July 20th, 2019, 9:55 am
by Moosey
Saka wrote:what? why am I working on it? I dont want this to be the "canonical" font (Does such a thing exist?)!
Well, not canonical, I suppose, as much as extended. Canonical was a poor choice of words. :oops:
You're working on it, in my opinion, as you pointed out some problems.

Does anyone have an opinion on which of these looks the most like an F?

Code: Select all

x = 19, y = 3, rule = B3/S23
b2o6b2o6b2o$3o6bo7b2o$bo6b3o5b2o!
EDIT:
Current:

Code: Select all

x = 102, y = 3, rule = B3/S23
bo2b2o2b3ob2o2b3o2b2obo3bobob3ob3obobobo4b2ob3ob3ob2ob2o2b3o2b2ob3obob
obobobo3bobobobob2o$obobobobo3bobob2o2b3obobob3o2bo3bo2b2o2bo3b2o2bobo
bobob2ob2o2bo4bo3bo2bobobobob2o3bo2b3o2bo$obob3ob3ob2o2b3o2bo2b3obobob
3ob2o2bobob3obo3bobob3obo4bobo3b2o3bo2b3o2bo3b2obobo2bo3b2o!
I'm getting a bit off topic here. Sandbox thread for fonts and patterns that they produce?

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: July 21st, 2019, 11:52 pm
by toroidalet
The smallest THCT pattern that produces infinite growth is the following, which almost looks like "theta":

Code: Select all

x = 19, y = 3, rule = B3/S23
3obobob3ob3ob2o$bo2b3obo4bo2bobo$bo2bobob3o2bo2bobo!
The only other 5-character one with this prefix that does so is this, which looks less like a letter.

Code: Select all

x = 19, y = 3, rule = B3/S23
3obobob3ob3ob3o$bo2b3obo4bo2b2o$bo2bobob3o2bo2b2o!

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: August 4th, 2019, 3:23 am
by Gustone
I can easily draw the 10 cell ig

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: August 4th, 2019, 5:11 am
by PkmnQ
Gustone wrote:I can easily draw the 10 cell ig
Well, apparently,
pcallahan wrote: It is hard to pronounce anyway. I agree that small patterns can be memorized visually, but it is a little hard to explain to people.

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: August 11th, 2019, 12:15 am
by Hdjensofjfnen
Moosey wrote: Does anyone have an opinion on which of these looks the most like an F?

Code: Select all

x = 19, y = 3, rule = B3/S23
b2o6b2o6b2o$3o6bo7b2o$bo6b3o5b2o!
[offtopic]

Code: Select all

x = 3, y = 3, rule = B3/S23
3o$2o$o!
[/offtopic]

Re: Infinite growth patterns easy to memorize and enter by hand

Posted: August 11th, 2019, 7:28 am
by Moosey
[offtopic]
Hdjensofjfnen wrote:
Moosey wrote: Does anyone have an opinion on which of these looks the most like an F?

Code: Select all

x = 19, y = 3, rule = B3/S23
b2o6b2o6b2o$3o6bo7b2o$bo6b3o5b2o!
[offtopic]

Code: Select all

x = 3, y = 3, rule = B3/S23
3o$2o$o!
[/offtopic]
More can be seen here, where we should probably discuss Moosey's Official Unoffical Alphabet. The current version is

Code: Select all

x = 102, y = 3, rule = B3/S23
bo2b2o2b3ob2o2b3ob3obo3bobob3ob3obobobo4b2ob3ob3ob2ob2o2b3o2b2ob3obobo
bobobo3bobobobob2o$obob3obo3bobob2o2b2o2bobob3o2bo3bo2b2o2bo3b2o2bobob
obob2ob2o2bo4bo3bo2bobobobob2o3bo2b3o2bo$obob2o2b3ob2o2b3obo3b3obobob
3ob2o2bobob3obo3bobob3obo4bobo3b2o3bo2b3o2bo3b2obobo2bo3b2o!
[/offtopic]
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