About: Quasiregular polyhedron

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In geometry, a quasiregular polyhedron is a uniform polyhedron that has exactly two kinds of regular faces, which alternate around each vertex. They are vertex-transitive and edge-transitive, hence a step closer to regular polyhedra than the semiregular, which are merely vertex-transitive. Their are face-transitive and edge-transitive; they have exactly two kinds of regular vertex figures, which alternate around each face. They are sometimes also considered quasiregular. Examples:

Attributes	Values
rdfs:label	Kvazaŭregula pluredro (eo) Poliedro quasirregular (es) Polyèdre quasi régulier (fr) 준정다면체 (ko) Quasiregular polyhedron (en) Квазиправильный многогранник (ru) 擬正多面體 (zh)
rdfs:comment	En geometrio, kvazaŭregula pluredro estas pluredro kiu havas regulajn plurlaterojn kiel edroj kaj estas latero-transitiva sed estas ne edro-transitiva. Kvazaŭregula pluredro povas havi edrojn de nur du specoj kaj ĉi tiuj devas situi alterne ĉirkaŭ ĉiu vertico. Kvazaŭregula pluredro estas priskribataj per vertikala simbolo de Schläfli por prezenti ĉi tiu kombinitan formo kiu enhavas la kombinitaj edrojn de la regula {p,q} kaj duala regula {q,p}. Kvazaŭregula pluredro kun ĉi tiu simbolo havas vertican konfiguron p.q.p.q aŭ p.q.p.q.p.q (por 4 kaj 6 edroj ĉirkaŭ vertico respektive). (eo) Un polyèdre dont les faces sont des polygones réguliers, qui est transitif sur ses sommets, et qui est transitif sur ses arêtes, est dit quasi régulier. Un polyèdre quasi régulier peut avoir des faces de deux sortes seulement, et celles-ci doivent alterner autour de chaque sommet. Pour certains polyèdres quasi réguliers :on utilise un symbole de Schläfli vertical pour représenter le polyèdre quasi régulier combinant les faces du polyèdre régulier {p,q} et celles du dual régulier {q,p} : leur noyau commun. Un polyèdre quasi régulier avec ce symbole a une configuration de sommet p.q.p.q. (fr) 준정다면체(準正多面體, quasiregular polyhedron)는 두 개의 정다각형을 사용하고 각 모서리들이 서로 추이적(edge-transitive) 관계인 다면체로서 반정다면체(semiregular polyhedron)과는 조금 다르다. (ko) 在幾何學中，擬正多面體是一種半正多面體，他有兩種正多邊形面交錯環繞每一個頂點。他有邊可遞性質，因此比半正多面體更接近正多面體，僅差一個點可遞性質。只有兩種凸擬正多面體，分別為截半立方體和截半二十面體。他們的名稱，由開普勒給出，來自首次確認他們的所有的面都來自對偶對——正方體和正八面體，第二個則來自對偶對——正十二面體和正二十面體。這些形式表示對一個正多面體及其對偶多面體可以給出一個垂直施萊夫利符號或r{p,q}來代表他們同時包含正{p,q}和正{q,p}對偶的面。一個擬正多面體有此符號就會有一個頂點這樣的頂點圖：p.q.p.q (或 (p.q)2)。 (zh) In geometry, a quasiregular polyhedron is a uniform polyhedron that has exactly two kinds of regular faces, which alternate around each vertex. They are vertex-transitive and edge-transitive, hence a step closer to regular polyhedra than the semiregular, which are merely vertex-transitive. Their are face-transitive and edge-transitive; they have exactly two kinds of regular vertex figures, which alternate around each face. They are sometimes also considered quasiregular. Examples: (en) Квазипра́вильный многогра́нник (от лат. quas(i) «наподобие», «нечто вроде») — полуправильный многогранник, который имеет в точности два вида правильных граней, поочерёдно следующих вокруг каждой вершины. Эти многогранники , а потому на шаг ближе к правильным многогранникам, чем полуправильные, которые лишь вершинно транзитивны. В более общем случае квазиправильные фигуры могут иметь (p.q)r, представляющую r (2 или более) граней разного вида вокруг вершины. (ru)
foaf:depiction
dct:subject	Quasiregular polyhedra
Wikipage page ID	8810651 (xsd:integer)
Wikipage revision ID	1099775954 (xsd:integer)
Link from a Wikipage to another Wikipage	Schläfli symbol Regular polygon Rhombic dodecahedron Rhombic triacontahedron Rhombille tiling Rhombus Quasiregular polyhedra Cube Cubic honeycomb Cuboctahedron Cubohemioctahedron Uniform polyhedron Vertex configuration Star polyhedron Tetrahemihexahedron 16-cell Coxeter Geometry Convex polytope Order-4 apeirogonal tiling Order-4 hexagonal tiling Order-6 apeirogonal tiling Order-6 hexagonal tiling Order-6 square tiling Order-8 pentagonal tiling

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