WOLFRAM|DEMONSTRATIONS PROJECT

Bezdek's Unistable Polyhedron With 18 Faces

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top z
86.9
bottom z
-49.5
choose face
17
show normal
opacity
plot range
50
Does the normal on the face 17 intersects it? True
The number of stable faces: 1
This Demonstration shows Bezdek's unistable polyhedron with 18 faces. A face is stable if, and only if, the orthogonal projection (red point) of the center of mass (black point) onto the face lies inside the face. A unistable polyhedron has only one stable face. The polyhedron is a skew pyramid placed along the
z
axis and can be changed using the
z
sliders.