Archimedean Solids · 3D
Rhombicosidodecahedron
3.4.5.4 · rr{5,3}
Twenty triangles, thirty squares and twelve pentagons: the dodecahedron’s faces pushed outward, with squares across its edges and triangles at its corners.
- Vertices
- 60
- Edges
- 120
- Faces
- 20 ▲ + 30 ■ + 12 ⬟
Turn it in your hands, strike it to hear the chord of its edges, slice it with a plane.
Facts
- Every corner joins a triangle, a square, a pentagon and a square (3.4.5.4).
- Its thirty squares lie across the thirty edges of the dodecahedron and the icosahedron at once: it records both golden solids.
- Lift off a cap of five squares around a pentagon, give it a tenth of a turn and put it back: a new solid, the gyrate rhombicosidodecahedron.
- The Zometool connector is built on it, with golden rectangles in place of the squares.
History and meaning
Its dual, the deltoidal hexecontahedron, is built of sixty identical kites.
Across the dimensions
- Dual The deltoidal hexecontahedron, which the app draws inside it.
