the snub polyhedra

By transforming each face of a regular polyhedron by similarity (reduction and rotation) we create rings of triangles; when all these triangles are equilateral we have a "snub" whose edges are all equal (this nice configuration does not occur with the regular octahedron and icosahedron).

the snub cube
2×12+8=32 equilateral triangles

the sub tetrahedron is the regular icosahedron!
(2×6+4)+4=20 equilateral triangles

the snub dodecahedron
2×30+20=80 equilateral triangles

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truncating the cube, the dodecahedron and the tetrahedron  -  dual morphing
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French 		convex polyhedra - non convex polyhedra - interesting polyhedra - related subjects October 1998
updated 02-10-2011