The triangular prismatic honeycomb or triangular prismatic cellulation is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed...

cubic honeycomb, gyrated triangular prismatic honeycomb, snub square prismatic honeycomb, triangular prismatic honeycomb, triangular-hexagonal prismatic honeycomb...

honeycombs are known: the familiar cubic honeycomb and 7 truncations thereof; the alternated cubic honeycomb and 4 truncations thereof; 10 prismatic forms...

include: The triangular prismatic honeycomb The gyrated triangular prismatic honeycomb The triakis truncated tetrahedral honeycomb. The Voronoi cells of the carbon...

cubic honeycomb Hexagonal prismatic honeycomb Triangular prismatic honeycomb Triangular-hexagonal prismatic honeycomb Truncated hexagonal prismatic honeycomb...

cubic honeycomb Hexagonal prismatic honeycomb Triangular prismatic honeycomb Triangular-hexagonal prismatic honeycomb Truncated hexagonal prismatic honeycomb...

convex uniform honeycombs. The snub square prismatic honeycomb or simo-square prismatic cellulation is a space-filling tessellation (or honeycomb) in Euclidean...

(the prismatic pentagon is half-square half-hexagon). Tilings of regular polygons Elongated triangular prismatic honeycomb Gyroelongated triangular prismatic...

diagram , seen as one layer of triangular prisms, within a triangular prismatic honeycomb, . Order-7 tetrahedral honeycomb List of regular polytopes The...

operation applied to a hexagonal prismatic honeycomb. The hexagonal prism cells become octahedra and the voids create triangular bipyramids which can be divided...

solution to the three-dimensional einstein problem. The gyrated triangular prismatic honeycomb can be constructed by packing together large numbers of identical...

lattice Hexagonal prismatic honeycomb Tilings of regular polygons List of uniform tilings List of regular polytopes Hexagonal tiling honeycomb Hex map board...

of the gyroelongated triangular prismatic honeycomb if the elongated gyrobifastigium are dissected back into cubes and triangular prisms. The elongated...

dodecahedron, and truncated octahedron. The triangular prism, the prototile of the triangular prismatic honeycomb. More generally, each of the 11 types of...

MR 0185507. S2CID 122006114. Zbl 0132.14603. "J36 honeycomb". Weisstein, Eric W., "Elongated triangular gyrobicupola" ("Johnson solid") at MathWorld. v...

with mirror images, the result is a compact honeycomb containing the small rhombicuboctahedra and the triangular prisms. Two more such constructions were...

both bases are convex, and is bounded by prismatic cells. Four-dimensional duoprisms are considered to be prismatic 4-polytopes. A duoprism constructed from...

uniform prismatic prisms overlaps with the 4-p duoprisms: (p≥3) - - p cubes and 4 p-gonal prisms - (All are the same as 4-p duoprism) Triangular prismatic prism...

tetrahedrons, between 2 square tilings. Order-6 triangular hosohedral honeycomb Order-7 tetrahedral honeycomb List of regular polytopes The Beauty of Geometry:...

threshold Kagome crest Star of David Trihexagonal prismatic honeycomb Cyclotruncated simplectic honeycomb List of uniform tilings Grünbaum, Branko; Shephard...

Topologically 4-polytopes are closely related to the uniform honeycombs, such as the cubic honeycomb, which tessellate 3-space; similarly the 3D cube is related...

groups, and 13 prismatic groups that generate regular and uniform tessellations in Euclidean 4-space. There are three regular honeycombs of Euclidean 4-space:...

and building materials. The Voronoi diagram of a regular triangular lattice is the honeycomb tessellation of hexagons. Coxeter states that every zonogon...

there are nineteen Coxeter groups of non-prismatic uniform honeycombs in the fourth dimension: five Coxeter honeycomb groups exist in Euclidean space, while...

forming the hexagonal prismatic honeycomb. The hexagonal prism also exists as cells of four prismatic uniform convex honeycombs in 3 dimensions: It also...

regular polygons. There are 47 non-prismatic convex uniform 4-polytopes. There are two infinite sets of convex prismatic forms, along with 17 cases arising...

connect with complementary steps. Elongated dodecahedron Hexagonal prismatic honeycomb Lagarias, Jeffrey C. (2011). "The Kepler conjecture and its proof"...

flicker-free images in movie projectors. It is an element of three uniform honeycombs: It is also an element of two four-dimensional uniform 4-polytopes: Weisstein...

numbers in Euclidean and hyperbolic 3-space: 75 is the total number of non-prismatic uniform polyhedra, which incorporate regular polyhedra, semiregular polyhedra...

Many are directly related to a convex uniform honeycomb, being the polygonal surface of a honeycomb with some of the cells removed. Characteristically...