"apeirohedron" meaning in All languages combined

See apeirohedron on Wiktionary

Noun [English]

IPA: /əˌpiːɹɵˈhiːdɹən/, /əˌpeɪ̯ɹɵˈhiːdɹən/ Forms: apeirohedrons [plural], apeirohedra [plural]
Etymology: From apeiro- + -hedron. Etymology templates: {{confix|en|apeiro|hedron}} apeiro- + -hedron Head templates: {{en-noun|s|apeirohedra}} apeirohedron (plural apeirohedrons or apeirohedra)
  1. (mathematics, geometry) A polyhedron with an infinite number of faces. Wikipedia link: en:skew apeirohedron Categories (topical): Geometry, Mathematics, Polyhedra Hyponyms: mucube, muoctahedron, mutetrahedron Related terms: apeirogon

Inflected forms

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          "text": "There are exactly 12 regular apeirohedra that in some sense are reducible and have components that are regular figures of dimensions 1 and 2. These apeirohedra are blends of a planar regular apeirohedron, and a line segment { } or linear apeirogon {∞}. This explains why there are 12 = 6·2 blended (or non-pure) apeirohedra. For example, the blend of the standard square tessellation {4,4} and the infinite apeirogon {∞}, denoted {4,4}#{∞}, is an apeirohedron whose faces are helical apeirogons (over squares), rising above the squares of {4,4}, such that 4 meet at each vertex; the orthogonal projections of {4,4}#{∞} onto their component subspaces recover the original components, the square tessellation and the linear apeirogon.",
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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