The Rigidity Theorem: Beyond resolution k=216, the branch locus
is frozen. The integers run out of room to create new behaviors.
Every trajectory is trapped in this 21,632-cell cage until it hits the
1-4-2 sink. The Ghost Island (251 cells discovered only at
N=10¹¹) is separated from the main cluster by a 352-unit
Diophantine void that Baker's theorem forbids any integer from crossing.
Hover cells for detail · Arrow keys to change k · Data: N=10¹¹, 2.51×10¹³ steps