The 720° walk

Drag to roll the whole chain. Six shapes on one structural line, drawn at a common edge length — the real relative sizes. Edge cages, double-sided glued faces, vertices as dots.

Descartes: every convex solid's angular defects sum to exactly 720° — two full turns. The number of steps (vertices) to get there changes; the total never does.

Walk a shape to 720°

step 0 / 0  ·  / 720°
press Step to add one vertex's defect
shapeVEFstepsdefect
Three.js failed to load (needs internet for the 3D library). The maths is still exact: defects sum to 720° for every shape.