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 3.6.3.6 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
Famous quotes containing the words quarter and/or cubic:
“I was able to believe for years that going to Madame Swann’s was a vague chimera that I would never attain; after having passed a quarter of an hour there, it was the time at which I did not know her which became to me a chimera and vague, as a possible destroyed by another possible.”
—Marcel Proust (1871–1922)
“Mining today is an affair of mathematics, of finance, of the latest in engineering skill. Cautious men behind polished desks in San Francisco figure out in advance the amount of metal to a cubic yard, the number of yards washed a day, the cost of each operation. They have no need of grubstakes.”
—Merle Colby, U.S. public relief program (1935-1943)