From TheBestLinks.com
The rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid. It has 20 regular triangular faces, 30 regular square faces, 12 regular pentagonal faces, 60 vertices and 120 edges.
The name rhombicosidodecahedron refers to the fact that the 30 square faces lie in the same planes as the 30 faces of the rhombic triacontahedron which is dual to the icosidodecahedron.
Canonical coordinates for the vertices of a rhombicosidodecahedron centered at the origin are
(±1, ±1, ±τ3), (±τ3, ±1, ±1), (±1, ±τ3, ±1), and
(±τ2, ±τ, ±2τ), (±2τ, ±τ2, ±τ), (±τ, ±2τ, ±τ2), and
(±(2+τ), 0, ±τ2), (±τ2, ±(2+τ), 0), (0, ±τ2, ±(2+τ)),
where τ = (1+√5)/2 is the golden ratio.
If you blow up an icosahedron by moving the faces away from the origin the right amount, without changing the orientation or size of the faces, and do the same to its dual dodecahedron, and patch the square holes in the result, you get a rhombicosadodecahedron. Therefore, it has the same number of triangles as an icosahedron and the same number of pentagons as a dodecahedron.
See also
External links
nl:Romboëdrisch icosidodecaëder
Related links
Top visited
0 of
0 links
[no links posted yet]
>> place link >>
Discussion
Last posted
0 of
0 messages
[no messages posted yet]
>> post message >>
Watch
You can
add this article to your own "watchlist" and receive e-mail notification about all changes in this page.
