Quarter Cubic Honeycomb

The quarter cubic honeycomb (or bitruncated alternated cubic honeycomb) is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of tetrahedra and truncated tetrahedra in a ratio of 1:1. It is called "quarter-cubic" because its symmetry unit – the minimal block from which the pattern is developed by reflections – consists of four such units of the cubic honeycomb.

It is vertex-transitive with 6 truncated tetrahedra and 2 tetrahedra around each vertex.

It is one of the 28 convex uniform honeycombs.

The faces of this honeycomb's cells form four families of parallel planes, each with a tiling.

Its vertex figure is an isosceles antiprism: two equilateral triangles joined by six isosceles triangles.

Edge framework

Read more about Quarter Cubic Honeycomb:  Symmetry

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