Truncated Dodecahedron · Open Curl

Open chain of N truncated dodecahedra curled around an edge (violet axis), free ends. Roll accumulates 720° (or your total). Drag N to find where the curl locks decagon-to-decagon. Drag to rotate · wheel to zoom.

N — cells in the curl 30

roll / cell: —

—

Curl radius 1.40 Pitch (rise per cell) 0.34 Total chiral rotation 720° Chirality

Conductance ↔ retardance (the burn) 0.55

Readouts

turns (open)—

realign every—

max cell strain—

end-to-end gap—

degrees (home = total)0°

burn statusidle

cell strain: slack regular strained
edge axis decagon-lock

Locking N for 720°: 5 (144°), 10 (72°), 20 (36°). At those N every cell advances by a whole decagonal-face click and chains in registration; the registration-mismatch strain term goes to zero, so the burn runs cleanest. Off-lock N pay a mismatch tax. Model only — sim-scaffold, not canon.