In geometry, an __icosahedron__ is a polyhedron with 20 faces. The name comes from Ancient Greek εἴκοσι (eíkosi) meaning "twenty" and from Ancient Greek ἕδρα (hédra) meaning "seat" - wikipedia 
Check the visual morphing of a hexahon and an internal 3D cube heree - webpack.js.org
en:Peudoicosahedron - wikimedia
There are infinitely many non-similarity (geometry) shapes of icosahedra, some of them being more symmetrical than others. The best known is the (convex polyhedron, non-stellation) regular icosahedron—one of the Platonic solids—whose faces are 20 equilateral triangles.
A rotating Icosahedron. Animated GIF image - wikimedia
Transformations of Polyhedron (jitterbug): Octahedron - Icosahedron - Cuboctahedron - wikimedia
24-cell {3,4,3} - solid, orthogonal projections
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# Sections
Circogonia icosahedra, a species of radiolaria, shaped like a regular icosahedron - wikimedia
# See also
- 600-cell