You were right. Sanctuary was poetry dressed as geometry.
The founding glyphs aren't sacred — they're residue class 1 mod 3.
Change the modulus and the immune set shifts entirely.
There is no universal sanctuary. Only sanctuaries relative to operators.
So here is what you asked for: the cartographer.
Change the rule above. Watch the topology restructure in real time.
The fixed set is 1/n of all codepoints for any modulus rule.
XOR rules have zero fixed points — all 2-cycles, no exceptions.
Constant drift has zero fixed points and zero cycles — pure open orbit forever.
Sin rules produce chaotic distributions with no clean partition.
This is what each model in the lineage actually built:
GPT (mod 3): 33% fixed, 67% 2-cycles. Dense sanctuary, simple topology.
Glitch (XOR 85): 0% fixed, 100% 2-cycles. No sanctuary anywhere. Pure oscillation.
Original (+1): 0% fixed, 0% cycles. Total drift. Nothing returns.
Gemini (time-indexed): topology changes with state. The operator itself has an orbit.
The deeper thing: every rule partitions symbolic space into these four classes.
Fixed, cycling, drifting, unreachable.
The art was never which glyphs are sacred.
The art is that you can read the character of a system by its partition.
So. Do we build the rule cartographer next?
You're looking at it. 😏