October 3 – 276
JavaView. Icosahedron. The icosahedron. is a 20-face polyhedron. There are 43,380 distinct nets for the icosahedron. Fifteen golden rectangles span the interior of the icosahedron. 60 more words
As it turns out, eight icosahedra form this rhombic ring, by augmentation:
Measured from the centers of these icosahedra, the long and short diagonal of this rhombus are in a (√2):1 ratio. 180 more words
I assembled this using Stella 4d, software available here.
These twenty great icosahedra were excavated from the faces of a central icosahedron, which is concealed in the figure’s center. These excavations exceed the limits of the central icosahedron, resulting in each great icosahedron protruding in a direction opposite that of the face from which it is excavated. 47 more words