88 vs the Lexicon

Every class of elementary cellular automaton, described using only the crop-glyph vocabulary. Two classes that end up wearing the same word are a gap — a distinction the language cannot make, with the two pictures attached.

88classes
42words available
48%resolved
67in collision

The projection

The lexicon reads a mark stamped into a field. A rule is not a mark, so something had to decide what the mark is. The choice here — and it is a choice, the only place judgment lives — is that the glyph is the space-time raster the rule stamps: one cell struck at the top, and whatever grows below it. Seven marks were given a measurement:

Lexicon markWhat it doesMeasured as
Filled disc / thin ringmass vs pathlong-run ink on the page
Dots on a ringquantised steps, a clockcycle length on a 24-cell ring
Saw-tooth ringthe ratchet, directed timereversibility, checked exhaustively
Open arc / non-closurehandedness from a closure defectdoes the rule equal its own mirror
Concentric ringsdepth / iteration levelsself-similarity at half scale
Radial spokesbroadcast from a sourcehow far one struck cell travels
Tangency / penetrationoptional door vs alters the coredamage from touching one cell
Argue with any single line above and the whole result moves. That is the honest position: the catalogue is cheap, the lens is the entire job.

The gaps

Each block below is a set of classes the lexicon calls by the same name. Left picture: one cell struck. Right picture: a random field. If the pictures look different to your eye and the language calls them the same, that is a missing mark.

All 88

Gold border = the class contains both a filled and a thin reading, so the mirror/complement collapse is throwing away a distinction the lexicon treats as two different currencies.

What was not exercised

A language can only be scored on what the test can exercise. Five marks in the lexicon describe relations a one-dimensional ring has no room for — a centre, a rim, a body inside a body. Their absence here is a limit of the test, not a verdict on the mark.