Inverted disnub dodecadodecahedron
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|Inverted disnub dodecadodecahedron|
|Bowers style acronym||Idisdid|
|Components||2 inverted snub dodecadodecahedra|
|Faces||120 triangles, 24 pentagons as 12 stellated decagons, 24 pentagrams as 12 stellated decagrams|
|Vertex figure||Irregular pentagon, edge lengths 1, 1, (√5–1)/2, 1, (1+√5)/2|
|Measures (edge length 1)|
|Dihedral angles||3–3: ≈ 130.49074°|
|5–3: ≈ 68.64088|
|5/2–3: ≈ 11.12448°|
|Number of external pieces||1752|
|Level of complexity||112|
|Dual||Compound of two medial inverted pentagonal hexecontahedra|
|Abstract & topological properties|
|Symmetry||H3, order 120|
The inverted disnub dodecadodecahedron, idisdid, or compound of two inverted snub dodecadodecahedra is a uniform polyhedron compound. It consists of 120 snub triangles, 24 pentagons, and 24 pentagrams (the latter two can combine in pairs due to faces in the same plane). Three triangles, one pentagon, and one pentagram join at each vertex.
Its quotient prismatic equivalent is the inverted snub dodecadodecahedral antiprism, which is four-dimensional.
Measures[edit | edit source]
The circumradius of the inverted disnub dodecadodecahedron with unit edge length is the smallest positive real root of:
Its volume is given by the smallest positive real root of:
External links[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category C10: Disnubs" (#72).
- Klitzing, Richard. "idisdid".
- Wikipedia Contributors. "Compound of two inverted snub dodecadodecahedra".