a base, a rule, and everything that roots back to 0 — 0 · 1 · 1 · 2 · 3 · 5 · 8 …
The rule is tiny. Start from a base (0, 1); each step is the sum of the last two. The numbers explode — but their digital roots (keep summing the digits until one is left) don't sprawl: they wire consecutive roots into a figure that closes into a cycle. For Fibonacci that cycle is 24 long, touching the root-0 point every 12. Real number theory (Pisano periods); the cypher framing is yours.
base — seed A
base — seed B
steps — how far the emergence runs24
closes after
24
roots to 0
2
ratio → φ
1.618
base → rule → root · the cypher is the cycle it closes into