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

Be patient during the initialization! (reload the page if an animation doesn't start)
To control these animations with the mouse, see the LiveGraphics3D help below.
truncating the cube, the dodecahedron and the tetrahedron  -  dual morphing

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convex polyhedra - non convex polyhedra - interesting polyhedra - related subjects October 1998
updated 02-10-2011