Monostatic polytope

In geometry, a monostatic polytope (or unistable polyhedron) is a d-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 2012, Andras Bezdek discovered an 18-face solution,[1] and in 2014, Alex Reshetov published a 14-face polyhedron.[2]

3D model of R. K. Guy's monostatic polyhedron
3D model of Reshetov's monostatic polyhedron
  1. ^ Cite error: The named reference Bezdek was invoked but never defined (see the help page).
  2. ^ Cite error: The named reference Reshetov was invoked but never defined (see the help page).