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In geometry, a skew apeirohedron is an infinite skew polyhedron consisting of nonplanar faces or nonplanar vertex figures, allowing the figure to extend indefinitely without folding round to form a closed surface. Skew apeirohedra have also been called polyhedral sponges. Many are directly related to a convex uniform honeycomb, being the polygonal surface of a honeycomb with some of the cells removed. Characteristically, an infinite skew polyhedron divides 3-dimensional space into two halves. If one half is thought of as solid the figure is sometimes called a partial honeycomb.

AttributesValues
rdfs:label
  • Malfinia dekliva pluredro (eo)
  • Polyèdre oblique infini (fr)
  • Skew apeirohedron (en)
  • 扭歪無限面體 (zh)
rdfs:comment
  • In geometry, a skew apeirohedron is an infinite skew polyhedron consisting of nonplanar faces or nonplanar vertex figures, allowing the figure to extend indefinitely without folding round to form a closed surface. Skew apeirohedra have also been called polyhedral sponges. Many are directly related to a convex uniform honeycomb, being the polygonal surface of a honeycomb with some of the cells removed. Characteristically, an infinite skew polyhedron divides 3-dimensional space into two halves. If one half is thought of as solid the figure is sometimes called a partial honeycomb. (en)
  • En géométrie, les polyèdres obliques infinis sont une définition étendue des polyèdres, créés par des faces polygonales régulières, et des figures de sommet non planaires. Beaucoup sont directement reliés aux (en), étant la surface polygonale d'un nid d'abeille avec certaines cellules enlevées. En tant que solides, ils sont appelés nids d'abeille partiels et aussi éponges. Ces polyèdres sont aussi appelés pavages hyperboliques parce qu'ils peuvent être regardés comme reliés aux pavages de l'espace hyperbolique qui ont aussi un (en) négatif. (fr)
  • 在幾何學中,扭歪無限面體(英語:Skew apeirohedron)是一種頂點並非全部共面的無限面體,存在非平面的面或非平面的頂點圖,並保持圖形不折回形成封閉區間而無限延伸。其也可以看作是面數無法被窮盡的扭歪多面體。由於該多面體所形成的空間有如海綿般有很多孔洞,因此又稱為海綿多面體。 (zh)
  • En geometrio, malfinia dekliva pluredro estas etendita nocio de pluredroj, kreita el plurlateraj edroj kun neebenaj verticaj figuroj. Ĉi tie estas konsiderataj malfiniaj deklivaj pluredroj kun regulaj plurlateraj kiel edroj. Multaj el ili estas rekte rilatantaj al konveksaj uniformaj kahelaroj de eŭklida 3-spaco, estante la plurlateraj surfacoj de la kahelaro kun parto de la ĉeloj forprenitaj. Ĉi tiaj solidoj estas nomataj kiel partaj kahelaroj. (eo)
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