Elongated gyrobifastigium

In geometry, the elongated gyrobifastigium or gabled rhombohedron is a space-filling octahedron with 4 rectangles and 4 right-angled pentagonal faces.

Elongated gyrobifastigium
Gabled rhombohedron
TypeStereohedron
Faces4 rectangles
4 pentagons
Edges18
Vertices12
Vertex configuration(4) 4.4.5
(8) 4.5.5
Symmetry groupD2d, [2+,4], (2*2), order 8
Rotation groupD2, [2,2]+, (222), order 4
Dual polyhedronSnub disphenoid
Propertiesconvex, space-filling
Net
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