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In geometry, a hypercubic honeycomb is a family of regular honeycombs (tessellations) in n-dimensions with the Schläfli symbols {4,3...3,4} and containing the symmetry of Coxeter group Rn (or B~n-1) for n>=3. The tessellation is constructed from 4 n-hypercubes per ridge. The vertex figure is a cross-polytope {3...3,4}. The hypercubic honeycombs are self-dual. Coxeter named this family as δn+1 for an n-dimensional honeycomb.

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  • Hypercubic honeycomb
  • 立方形密鋪
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  • In geometry, a hypercubic honeycomb is a family of regular honeycombs (tessellations) in n-dimensions with the Schläfli symbols {4,3...3,4} and containing the symmetry of Coxeter group Rn (or B~n-1) for n>=3. The tessellation is constructed from 4 n-hypercubes per ridge. The vertex figure is a cross-polytope {3...3,4}. The hypercubic honeycombs are self-dual. Coxeter named this family as δn+1 for an n-dimensional honeycomb.
  • 在幾何學中,立方形密鋪是一個正密鋪家族,在n維空間中,施萊夫利符號以{4,3...3,4}表示,且n>=3時具有考克斯特群Rn (or B~n-1)的對稱性。 這種密鋪是在每脊以4個n維立方形構造。 所有的立方形密鋪都屬於自身對偶 考克斯特將在n維空間種的立方形密鋪命名為δn+1以表示其維度。 立方形密鋪在不同維度時有不同稱呼,「密鋪」是指緊密填滿空間。二維時稱做正方形鑲嵌;三維時稱立方體堆砌;四維以上則稱為堆砌或蜂巢體(英语:honeycomb)。
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  • In geometry, a hypercubic honeycomb is a family of regular honeycombs (tessellations) in n-dimensions with the Schläfli symbols {4,3...3,4} and containing the symmetry of Coxeter group Rn (or B~n-1) for n>=3. The tessellation is constructed from 4 n-hypercubes per ridge. The vertex figure is a cross-polytope {3...3,4}. The hypercubic honeycombs are self-dual. Coxeter named this family as δn+1 for an n-dimensional honeycomb.
  • 在幾何學中,立方形密鋪是一個正密鋪家族,在n維空間中,施萊夫利符號以{4,3...3,4}表示,且n>=3時具有考克斯特群Rn (or B~n-1)的對稱性。 這種密鋪是在每脊以4個n維立方形構造。 所有的立方形密鋪都屬於自身對偶 考克斯特將在n維空間種的立方形密鋪命名為δn+1以表示其維度。 立方形密鋪在不同維度時有不同稱呼,「密鋪」是指緊密填滿空間。二維時稱做正方形鑲嵌;三維時稱立方體堆砌;四維以上則稱為堆砌或蜂巢體(英语:honeycomb)。
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