Elongated gyrobifastigial honeycomb

Elongated gyrobifastigial honeycomb
Rank	4
Type	Noble
Space	Euclidean
Elements
Cells	2N elongated gyrobifastigia
Faces	2N rectangles, 2N mirror-symmetric pentagons
Edges	N+2N+2N
Vertices	2N
Vertex figure	Notch
Related polytopes
Dual	Gyrated triangular prismatic honeycomb
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	W2❘W2❘W2+
Convex	Yes
Nature	Tame

The elongated gyrobifastigial honeycomb is a noble honeycomb with elongated gyrobifastigia, 6 of which join at a vertex. It can be obtained as the dual of the gyrated triangular prismatic honeycomb.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:1. Although it cannot be made uniform due to the pentagons always having two 90 degree angles, it can be dissected into a gyroelongated triangular prismatic honeycomb, which can be made uniform.