About: Apeirogonal antiprism   Sponge Permalink

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In geometry, an apeirogonal antiprism or infinite antiprism is the arithmetic limit of the family of antiprisms; it can be considered an infinite polyhedron or a tiling of the plane. If the sides are equilateral triangles, it is a uniform tiling. In general, it can have two sets of alternating congruent isosceles triangles, surrounded by two half-planes. It can be constructed by an alternation operation applied to an apeirogonal prism: Image:Infinite prism tiling.png

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  • Apeirogonal antiprism
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  • In geometry, an apeirogonal antiprism or infinite antiprism is the arithmetic limit of the family of antiprisms; it can be considered an infinite polyhedron or a tiling of the plane. If the sides are equilateral triangles, it is a uniform tiling. In general, it can have two sets of alternating congruent isosceles triangles, surrounded by two half-planes. It can be constructed by an alternation operation applied to an apeirogonal prism: Image:Infinite prism tiling.png
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abstract
  • In geometry, an apeirogonal antiprism or infinite antiprism is the arithmetic limit of the family of antiprisms; it can be considered an infinite polyhedron or a tiling of the plane. If the sides are equilateral triangles, it is a uniform tiling. In general, it can have two sets of alternating congruent isosceles triangles, surrounded by two half-planes. It can be constructed by an alternation operation applied to an apeirogonal prism: Image:Infinite prism tiling.png
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