|With its 13 faces and its 13 vertices, this polyhedron has six 345-vertices and a 3-fold dihedral symmetry, but it is not minimal, neither for the number of faces nor for the number of vertices.
"G3" has also a 555-vertex as has the regular dodecahedron; the first has a minimum of vertices and the second a minimum of faces.
|assembling of twenty cubes
ring of eight regular dodecahedra
|ring of eight regular octahedra
(minimal deltahedron: 24 vertices and 48 faces)
to get a ring of eight regular icosahedra
Johnson 18 drilled
with a triangular cupola (Johnson 03)
augmented with a triangular prism.
truncated octahedron drilled
• Adventures Among the Toroids by B.M. Stewart, 1970.
• http://www.orchidpalms.com/polyhedra/ (pages "acrohedra" and "toroids") by Jim McNeill
|January 2004 |