LifeWiki:FAQ/Hensel notation: Difference between revisions
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The [[Hensel notation]] is a rulestring notation for defining isotropic two-state rules that use range-1 [[Moore neighbourhood]]. | The [[Hensel notation]] is a rulestring notation for defining isotropic two-state rules that use range-1 [[Moore neighbourhood]]. | ||
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It can also be found in [[Golly]] help, under {{nowrap|Help → Algorithms → QuickLife → Non-totalistic rules}}. | It can also be found in [[Golly]] help, under {{nowrap|Help → Algorithms → QuickLife → Non-totalistic rules}}. | ||
{{ | {{Isotropic non-totalistic transitions (square grid)}} | ||
== Why do I see things like "B2x" or "S4v" in old discussions? == | == Why do I see things like "B2x" or "S4v" in old discussions? == | ||
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* {{LinkForumThread|format=ref|f=7|t=2036|p=145406|title=Re: Thread for basic questions}} | * {{LinkForumThread|format=ref|f=7|t=2036|p=145406|title=Re: Thread for basic questions}} | ||
* {{LinkForumThread|format=ref|f=7|t=3883|p=72830|title=Is anyone studying the active part of soups?}} | * {{LinkForumThread|format=ref|f=7|t=3883|p=72830|title=Is anyone studying the active part of soups?}} | ||
Latest revision as of 20:16, 26 August 2024
The Hensel notation is a rulestring notation for defining isotropic two-state rules that use range-1 Moore neighbourhood.
Examples
Here are a few examples of this notation:
- B3/S2-i34q describes tlife
- B2-a/S12 describes Just Friends
- B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e describes Snowflakes
What do all the letters mean?
This table lists notations for all possible 3 × 3 neighbourhood configurations. It can also be found in Golly help, under Help → Algorithms → QuickLife → Non-totalistic rules.
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
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| — (no letter) |
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| c (corner) |
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| e (edge) |
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| k (knight) |
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| a (adjacent) |
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| i | 
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| n | 
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| y | 
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| q | 
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| j | 
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| r | 
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| t | 
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| w | 
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| z | 
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Why do I see things like "B2x" or "S4v" in old discussions?
In the past, there were several slightly differing variants of the notation; differences included using letter "v" instead of "n", and swapping the meaning of letters "y" and "r".
The modification of gencols by Paul Tooke supports searching isotropic rules, and uses a variant of Hensel notation where "v" is used instead of "n".
- Non-totalistic Rules - notations, projects, & discussion (discussion thread) at the ConwayLife.com forums
- Re: gencols: techniques (discussion thread) at the ConwayLife.com forums
- Adapting Gencols (discussion thread) at the ConwayLife.com forums
What is the rarest condition? What isotropic rule is closest to Life?
When evolving large random soups, the rarest 3 × 3 "window" of cells is S4c:
o.o S4c .o. o.o
Second rarest neighbourhood condition is B8:
ooo B8 o.o ooo
Third rarest neighbourhood condition is S6i:
ooo S6i .o. ooo
This suggests that isotropic rules B3/S234c, B38/S23, B3/S236i should be fairly "similar" to Life. (The overall behaviour of those rules is indeed similar to that of Life; nevertheless, each rule supports some interesting alien objects that do not exist in plain Life.)
- Re: Golly scripts (discussion thread) at the ConwayLife.com forums
- Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
- Is anyone studying the active part of soups? (discussion thread) at the ConwayLife.com forums