Steffen's Flexible Polyhedron

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Steffen's polyhedron is able to flex without self-intersection and without distorting any of its faces. It has 14 triangular faces, 21 edges, and 9 vertices. Euler had conjectured no polyhedron could flex. Cauchy proved that convex polyhedra cannot flex.
[more]
Contributed by: Mark McClure (April 2007)
With additional contribution by Izidor Hafner.
Open content licensed under CC BY-NC-SA
Snapshots
Details
R. Connelly, I. Sabitov, and A. Walz, "The Bellows Conjecture," Contrib. Algebra Geom. 38, pp. 1–10, 1997.
Reference
[1] P. R. Cromwell, Polyhedra, New York: Cambridge University Press, pp. 245 and 247, 1997.
Permanent Citation