I am here to present a collection of resolved Langton's Ants up to 11 colors.
I spent the past couple of months surveying all Langton's Ants up to 11 colors, and putting the ones that resolve into this collection.
Contents:
- 1 2-color rule (The classic Langton's Ant)
- 1 3-color rule
- 2 4-color rules
- 2 5-color rules
- 6 6-color rules
- 14 7-color rules
- 23 8-color rules
- 41 9-color rules
- 98 10-color rules
- 163 11-color rules
- Ant RLEs
- readme.txt
The grand champion in this collection is LRLRRRRLLRL, lasting 250.9 million gens before a wedge appears.
If there are any rules that I skipped over, please let me know.
Update 1:
Added the ant RLEs and readme.txt. Also added the wedge-producing LLRLRRLLL. Credit goes to Andrew Trevorrow for suggesting this.
ZIP file for the collection:
Langton's ant resolved collection (up to 11 colors)
- creeperman7002
- Posts: 301
- Joined: December 4th, 2018, 11:52 pm
Langton's ant resolved collection (up to 11 colors)
- Attachments
-
- Langtons-ant-resolved.zip
- (2.61 MiB) Downloaded 125 times
Last edited by creeperman7002 on July 14th, 2020, 1:20 pm, edited 1 time in total.
B2n3-jn/S1c23-y is an interesting rule. It has a replicator, a fake glider, an OMOS and SMOS, a wide variety of oscillators, and some signals. Also this rule is omniperiodic.
viewtopic.php?f=11&t=4856
viewtopic.php?f=11&t=4856
Re: Langton's ant resolved collection (up to 11 colors)
Impressive collection! Any chance a future release could include a readme.txt file with a summary of the record holders for each number of colors? (Even nicer would be a readme.html file with "rule:rulename" links to the record-holding rules so people don't have to search for which rule to load.)
EDIT: Oh, and include a begin.rle file in each subfolder with the appropriate starting ant.
EDIT: Oh, and include a begin.rle file in each subfolder with the appropriate starting ant.
Re: Langton's ant resolved collection (up to 11 colors)
What does it mean when a Langton's ant rule is "resolved"?
Princess of Science, Parcly Taxel
Code: Select all
x = 31, y = 5, rule = B2-a/S12
3bo23bo$2obo4bo13bo4bob2o$3bo4bo13bo4bo$2bo4bobo11bobo4bo$2bo25bo!
Re: Langton's ant resolved collection (up to 11 colors)
By the way, here's the LRLRRRRLLRL ant forming its wedge, at 1:1 scale:
- Attachments
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- la-250902000.mc
- LRLRRRRLLRL ant at gen 250902000
- (960.98 KiB) Downloaded 122 times
Princess of Science, Parcly Taxel
Code: Select all
x = 31, y = 5, rule = B2-a/S12
3bo23bo$2obo4bo13bo4bob2o$3bo4bo13bo4bo$2bo4bobo11bobo4bo$2bo25bo!
- creeperman7002
- Posts: 301
- Joined: December 4th, 2018, 11:52 pm
Re: Langton's ant resolved collection (up to 11 colors)
Resolved means producing a highway, wedge or spacefiller. Chaos doesn't count as resolved.
B2n3-jn/S1c23-y is an interesting rule. It has a replicator, a fake glider, an OMOS and SMOS, a wide variety of oscillators, and some signals. Also this rule is omniperiodic.
viewtopic.php?f=11&t=4856
viewtopic.php?f=11&t=4856