Archimedean Solids · 3D
Truncated Icosidodecahedron
4.6.10 · tr{5,3}
A square, a hexagon and a decagon at each of its 120 corners: the largest of Archimedes’ solids, with more corners and edges than any other.
- Vertices
- 120
- Edges
- 180
- Faces
- 30 ■ + 20 ⬢
- Decagons
- 12
Turn it in your hands, strike it to hear the chord of its edges, slice it with a plane.
Facts
- Its 120 corners match the 120 symmetries of the icosahedron, turns and mirror images: one corner for each.
- Every face has its opposite sides parallel: like its octahedral sibling it is a zonohedron, also called the great rhombicosidodecahedron.
- Its dual, the disdyakis triacontahedron, has 120 identical triangles whose edges run along fifteen great circles.
- Every corner joins a square, a hexagon and a decagon (4.6.10).
Across the dimensions
- Dual The disdyakis triacontahedron, which the app draws inside it.
