Block family decomposer

A Collatz orbit unpacked into reduced blocks. Each card is one representative family of a state (ω, d): rows show x, x+1, and the factorization 2i·3j·ω. Blue arrows are rising steps (×3+1 then ÷2); each family ends at its even lid A = 3dω − 1, then s halvings exit to the next family. Solid cells are on this orbit; faded cells are entries other orbits use. Companion to Reduced coordinates for the Collatz map, DOI 10.5281/zenodo.21273548.