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|Bowers style acronym||Desided|
|Components||2 snub icosidodecadodecahedra|
|Faces||120 triangles, 40 triangles as 20 hexagrams, 24 pentagons as 12 stellated decagons, 24 pentagrams as 12 stellated decagrams|
|Vertex figure||Irregular hexagon, edge lengths 1, 1, 1, (√5–1)/2, 1, (1+√5)/2|
|Measures (edge length 1)|
|Dihedral angles||3–3: ≈ 146.78125°|
|5–3: ≈ 120.43401°|
|5/2–3: ≈ 7.35214°|
|Number of external pieces||752|
|Level of complexity||47|
|Dual||Compound of two medial hexagonal hexecontahedra|
|Abstract & topological properties|
|Symmetry||H3, order 120|
The disnub icosidodecadodecahedron, desided, or compound of two snub icosidodecadodecahedra is a uniform polyhedron compound. It consists of 120 snub triangles, 40 further triangles, 24 pentagons, and 24 pentagrams (the latter three can combine in pairs due to faces in the same plane). Four triangles, one pentagon, and one pentagram join at each vertex.
Its quotient prismatic equivalent is the snub icosidodecadodecahedral antiprism, which is four-dimensional.
Measures[edit | edit source]
The circumradius of the disnub icosidodecadodecahedron with unit edge length is the greatest real root of
Its volume is given by the positive real root of
External links[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category C10: Disnubs" (#74).
- Klitzing, Richard. "desided".
- Wikipedia Contributors. "Compound of two snub icosidodecadodecahedra".