High Quality Content by WIKIPEDIA articles! In geometry, a triaprism is a polytope resulting from the Cartesian product of three polytopes, each of two dimensions or higher. The Cartesian product of an a-polytope, a b-polytope, and a c-polytope is an (a+b+c)-polytope, where a, b and c are 2-polytopes (polygon) or higher. The lowest dimensional triaprisms exist in 6-dimensional space as polypetons (6-polytopes) being the Cartesian product of three polygons in 2-dimensional Euclidean space. The smallest is a 3-3-3 triaprism or (triangle-triangle-triangle-triaprism), being the product of three triangles. It has 5-faces (3-3 duoprism prisms), 36 4-faces (9 3-3 duoprisms, 27 3-4 duoprism), 81 cells (27 cubes, 54 triangular prisms), 108 faces (81 squares, 27 triangles), 81 edges, and 27 vertices.

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