Compound of two great inverted snub icosidodecahedra
|Compound of two great inverted snub icosidodecahedra|
|Bowers style acronym||Gidsid|
|Components||2 great inverted snub icosidodecahedra|
|Faces||120 triangles, 40 triangles as 20 hexagrams, 24 pentagrams as 12 stellated decagrams|
|Vertex figure||Irregular pentagon, edge lengths 1, 1, 1, 1, (√–1)/2|
|Measures (edge length 1)|
|Dihedral angles||3–3: ≈ 89.78760°|
|5/2–3: ≈ 21.61047°|
|Number of external pieces||1560|
|Level of complexity||100|
|Dual||Compound of two great inverted pentagonal hexecontahedra|
|Conjugates||Compound of two snub dodecahedra, compound of two great snub icosidodecahedra, compound of two great inverted retrosnub icosidodecahedra|
|Convex core||Order-6-truncated disdyakis triacontahedron|
|Abstract & topological properties|
|Symmetry||H3, order 120|
The great inverted disnub icosidodecahedron, gidsid, or compound of two great inverted snub icosidodecahedra is a uniform polyhedron compound. It consists of 120 snub triangles, 40 further triangles, and 24 pentagrams (the latter two can combine in pairs due to faces in the same plane). Four triangles and one pentagram join at each vertex.
Measures[edit | edit source]
The circumradius of the great inverted disnub icosidodecahedron with unit edge length is the second to smallest positive real root of:
Its volume is given by the third largest positive real root of:
[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category C10: Disnubs" (#73).
- Klitzing, Richard. "gidsid".
- Wikipedia contributors. "Compound of two great inverted snub icosidodecahedra".