超无限面形又称伪多面形（英语：pseudogonal hosohedron）或双曲无限面形（英语：Hyperbolic apeirogonal hosohedron）是一种双曲镶嵌，其相当于在双曲面上构造一个无限面形，因而导致在拓朴结构上该多面形之面数比无限面形还多[1]，因此它在施莱夫利符号中用{2,iπ/λ}表示。
超无限面形，是一种位于双曲平面上的正镶嵌图，可以视为多面形退化的类比，具有伪多边形群（pseudogonal group）的对称性，其考克斯特群为[iπ/λ,2]，其可以视为无限面形在罗氏几何中的类比。
相关镶嵌
超无限面形是多面形家族{2, p}的算术极限——无限面形在双曲空间的类比。
| 对称群：[iπ/λ,2], (*∞22) | [iπ/λ,2]+, (∞22) | |||||||||
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| {iπ/λ,2} | t{iπ/λ,2} | r{iπ/λ,2} | 2t{iπ/λ,2}=t{2,iπ/λ} | 2r{iπ/λ,2}={2,iπ/λ} | rr{iπ/λ,2} | tr{iπ/λ,2} | sr{iπ/λ,2} | |||
| 半正对偶 | ||||||||||
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| V∞2 | V2.∞.∞ | V2.∞.2.∞ | V4.4.∞ | V2∞ | V2.4.∞.4 | V4.4.∞ | V3.3.2.3.∞ | |||
参见
参考文献
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