About: Proprism

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In geometry of 4 dimensions or higher, a proprism is a polytope resulting from the Cartesian product of two or more polytopes, each of two dimensions or higher. The term was coined by John Horton Conway for product prism. The dimension of the space of a proprism equals the sum of the dimensions of all its product elements. Proprisms are often seen as k-face elements of uniform polytopes.

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  • 数学の高次元(特に四次元以上)の幾何学におけるプロプリズム(英: proprism; 積角柱)は、ふたつ以上の(その各々が二次元以上の)(超)多面体のデカルト積として得られる超多面体を言う。"pro-prism"(積角柱)は product prism(角柱の直積)のかばん語で、ジョン・ホートン・コンウェイによる造語である。プロプリズムの占める空間の次元は、その各直積因子の次元の総和と等しい。また、プロプリズムは の(高次元)面としてしばしば生じる。 (ja)
  • In geometry of 4 dimensions or higher, a proprism is a polytope resulting from the Cartesian product of two or more polytopes, each of two dimensions or higher. The term was coined by John Horton Conway for product prism. The dimension of the space of a proprism equals the sum of the dimensions of all its product elements. Proprisms are often seen as k-face elements of uniform polytopes. (en)
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  • 数学の高次元(特に四次元以上)の幾何学におけるプロプリズム(英: proprism; 積角柱)は、ふたつ以上の(その各々が二次元以上の)(超)多面体のデカルト積として得られる超多面体を言う。"pro-prism"(積角柱)は product prism(角柱の直積)のかばん語で、ジョン・ホートン・コンウェイによる造語である。プロプリズムの占める空間の次元は、その各直積因子の次元の総和と等しい。また、プロプリズムは の(高次元)面としてしばしば生じる。 (ja)
  • In geometry of 4 dimensions or higher, a proprism is a polytope resulting from the Cartesian product of two or more polytopes, each of two dimensions or higher. The term was coined by John Horton Conway for product prism. The dimension of the space of a proprism equals the sum of the dimensions of all its product elements. Proprisms are often seen as k-face elements of uniform polytopes. (en)
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  • プロプリズム (ja)
  • Proprism (en)
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