Gyrobifastigium

Gyrobifastigium
Gyrobifastigium
Type	Johnson; J25 – J26 – J27
Faces	4 triangles; 4 squares
Edges	14
Vertices	8
Vertex configuration	4(3.42); 4(3.4.3.4)
Symmetry group	D2d
Properties	convex, honeycomb
Net

In geometry, the gyrobifastigium is a polyhedron that is constructed by attaching a triangular prism to square face of another one. It is an example of a Johnson solid. It is the only Johnson solid that can tile three-dimensional space.^[1]^[2]

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[1]

[2]

Gyrobifastigium

Type	Johnson $J 25 - J 26 - J 27$
Faces	4 triangles 4 squares
Edges	14
Vertices	8
Vertex configuration	$4(3.4 2) 4(3.4.3.4)$
Symmetry group	$D 2d$
Properties	convex, honeycomb
Net