Compound of two great snub icosidodecahedra

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Compound of two great snub icosidodecahedra
Bowers style acronymGiddasid
Components2 great snub icosidodecahedra
Faces120 triangles, 40 triangles as 20 hexagrams, 24 pentagrams as 12 stellated decagrams
Vertex figureIrregular pentagon, edge lengths 1, 1, 1, 1, (5–1)/2
Measures (edge length 1)
Circumradius≈ 0.81608
Volume≈ 15.34782
Dihedral angles5/2–3: ≈ 138.82237°
 3–3: ≈ 126.82315°
Central density14
Number of external pieces840
Level of complexity48
Related polytopes
ArmySemi-uniform Grid
DualCompound of two great pentagonal hexecontahedra
ConjugatesCompound of two snub dodecahedra, compound of two great inverted snub icosidodecahedra, compound of two great inverted retrosnub icosidodecahedra
Convex coreOrder-6-truncated disdyakis triacontahedron
Abstract & topological properties
Flag count1200
SymmetryH3, order 120

The great disnub icosidodecahedron, giddasid, or compound of two great 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.

Its quotient prismatic equivalent is the great snub icosidodecahedral antiprism, which is four-dimensional.

Measures[edit | edit source]

The circumradius of the great disnub icosidodecahedron with unit edge length is the second to largest real root of:

Its volume is given by the second to largest real root of:

External links[edit | edit source]