|Bowers style acronym||Geihid|
|Symmetry||H3, order 120|
|Vertex figure||Bowtie, edge lengths 1 and √|
|Faces||20 triangles, 6 decagrams|
|Measures (edge length 1)|
|Number of pieces||540|
|Level of complexity||28|
The great icosihemidodecahedron, or geihid, is a quasiregular polyhedron and one of 10 uniform hemipolyhedra. It consists of 20 equilateral triangles and 6 "hemi" decagrams, with two of each joining at a vertex. Its triangular faces are parallel to those of an icosahedron, and its hemi decagrammic faces are parallel to those of a dodecahedron: hence the name "icosihemidodecahedron". The "great" suffix, used for stellations in general, distinguishes it from the small icosihemidodecahedron, which also has this face arrangement.
It is a faceting of the great icosidodecahedron, keeping the original's triangles while also using its equatorial decagrams.
[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category 3: Quasiregulars" (#32).
- Klitzing, Richard. "Geihid".
- Wikipedia Contributors. "Great icosihemidodecahedron".
- McCooey, David. "Great Icosihemidodecahedron"