from The Century Dictionary.
- noun In geometry, a solid of thirty-two faces formed by cutting down the corners of the icosahedron parallel to the faces of the coaxial regular dodecahedron until the new faces just touch at the angles, thus leaving 20 triangular and 12 pentagonal faces. It is one of the thirteen Archimedean solids.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun A
semiregular polyhedronwith twelve facesthat are regular pentagonsand twenty that are equilateral triangles.
Sorry, no etymologies found.
These are simply extraordinary: hand-drawn images of immensely complex geometrical bodies, among them the 72-sided hebdomicontadissaedron and the very first representation in history of icosidodecahedron, that is, a three-dimensional solid with 20 triangular faces and 12 pentagonal faces.
Then there are the 13 Archimedean solids (PolyhedronData [ "Archimedean"]; the cuboctahedron, icosidodecahedron, truncated cube, etc.), constructed by requiring the same configuration at each vertex, but allowing more than one kind of regular face.
It's a skeletal icosidodecahedron one of Leonardo da Vinci's favorite shapes.
Following the edges of the icosidodecahedron : from the data file to the non-virtual object.
Francesco De Comite's uploaded a selection of the icosidodecahedron geometries he's had 3D printed at Shapeways, which lets you upload your own 3D models and runs them up on 3D printers.