Monostatic polytope

In geometry, a monostatic polytope or unistable polyhedron is a -polytope which "can stand on only one face". They were described in 1969 by J. H. Conway, M. Goldberg, R. K. Guy and K. C. Knowlton. The monostatic polytope in 3-space (a monostatic polyhedron) constructed independently by Guy and Knowlton has 19 faces. In 2011 Andras Bezdek discovered an 18-face solution, and in 2014 Alex Reshetov published a 14-face polyhedron.

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