Math Art
Great Rhombihexahedron

Great Rhombihexahedron

Great Rhombihexahedron is a uniform polyhedron, with 24 vertices, 48 edges and 18 faces, symmetry group Oh of order 48.

Open Great Rhombihexahedron in the interactive viewer →

star uniform

Properties

Vertices
24
Edges
48
Faces
18
Convex
no
Symmetry
Oh
Orbifold
*432
Symmetry order
48
Dual
great-rhombihexacron
Circumradius
{'value': 0.7368128791039502, 'exact': 'sqrt(5-2*sqrt(2))/2', 'source': 'pslq'}
Inradius
[{'face': '{4}', 'exact': '(-1+sqrt(2))/2', 'value': 0.2071067811865475}, {'face': '{8}', 'exact': '1/2', 'value': 0.4999999999999998}]
Midradius
{'value': 0.541196100146197, 'exact': 'sqrt(4-2*sqrt(2))/2', 'source': 'pslq'}

Dual

great-rhombihexacron