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In geometry of 6 dimensions or higher, a triaprism (or triprism) 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 term ''triaprism'' is coined by George Olshevsky, shortened from ''triple prism'', similar to duoprism for the product of two polytopes. John Horton Conway proposed a similar name proprism for ''product prism'', a Cartesian product of two or more polytopes of dimension at least two. The triaprisms are proprisms formed from exactly three polytopes. The lowest-dimensional triaprisms exist in 6-dimensional space as 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. == See also == * Uniform 6-polytope#Uniform_prismatic_families * 7-polytope#Uniform_triaprismatic_forms * 8-polytope#Uniform_triaprismatic_forms 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Triaprism」の詳細全文を読む スポンサード リンク
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