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- In geometry, an apeirogonal prism or infinite prism is the arithmetic limit of the family of prisms; it can be considered an infinite polyhedron or a tiling of the plane. Thorold Gosset called it a 2-dimensional semi-check, like a single row of a checkerboard. If the sides are squares, it is a uniform tiling. If colored with two sets of alternating squares it is still uniform.
* Uniform variant with alternate colored square faces.
* Its dual tiling is an apeirogonal bipyramid. (en)
- 在幾何學中,無限角柱是一種廣義的多面體(退化),是柱體的一種,是指底面是無限邊形的柱體,也是有無限多成員的正多邊形柱體集合的算術極限。 無限角柱可以被視為一種包含無限邊形的平面鑲嵌,可以稱為截角無限階二邊形鑲嵌、過截角二階無限邊形鑲嵌、小斜方二階無限邊形鑲嵌或大斜方二階無限邊形鑲嵌。 稱無限角柱為2-dimensional semi-check,類似單行的棋盤圖案。 如果側面是正方形,它就是一個半正鑲嵌。在一般情況下,它可以有兩組全等的矩形交替。 (zh)
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- In geometry, an apeirogonal prism or infinite prism is the arithmetic limit of the family of prisms; it can be considered an infinite polyhedron or a tiling of the plane. Thorold Gosset called it a 2-dimensional semi-check, like a single row of a checkerboard. If the sides are squares, it is a uniform tiling. If colored with two sets of alternating squares it is still uniform.
* Uniform variant with alternate colored square faces.
* Its dual tiling is an apeirogonal bipyramid. (en)
- 在幾何學中,無限角柱是一種廣義的多面體(退化),是柱體的一種,是指底面是無限邊形的柱體,也是有無限多成員的正多邊形柱體集合的算術極限。 無限角柱可以被視為一種包含無限邊形的平面鑲嵌,可以稱為截角無限階二邊形鑲嵌、過截角二階無限邊形鑲嵌、小斜方二階無限邊形鑲嵌或大斜方二階無限邊形鑲嵌。 稱無限角柱為2-dimensional semi-check,類似單行的棋盤圖案。 如果側面是正方形,它就是一個半正鑲嵌。在一般情況下,它可以有兩組全等的矩形交替。 (zh)
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- Apeirogonal prism (en)
- 無限角柱 (zh)
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