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e/Uniform polyhedron

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has glosseng: A uniform polyhedron is a polyhedron which has regular polygons as faces and is transitive on its vertices (i.e. there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent, and the polyhedron has a high degree of reflectional and rotational symmetry.
lexicalizationeng: uniform polyhedra
lexicalizationeng: uniform polyhedron
subclass of(noun) a solid figure bounded by plane polygons or faces
polyhedron
has instancee/List of uniform polyhedra by Wythoff symbol
has instancee/List of uniform polyhedra by spherical triangle
has instancee/List of uniform polyhedra by vertex figure
has instancec/ja/準正多面体
Meaning
Asturian
lexicalizationast: Poliedros uniformes
Catalan
has glosscat: En geometria, un políedre uniforme és un políedre que admet moltes simetries, les seves cares són polígons regulars i els seus vèrtex són homogenis. Però les cares no cal que siguin per força polígons convexos: per tant, molts polígons uniformes són estelats.
lexicalizationcat: políedre uniforme
Esperanto
has glossepo: Uniforma pluredro estas uniforma hiperpluredro, 3-dimensia pluredro kiu havas regulaj plurlateroj kiel edroj kaj estas vertico-transitiva. Ĉiuj ĝiaj verticoj estas kongruaj, kaj la pluredro havas altan gradon de reflekta kaj turna simetrio.
lexicalizationepo: uniforma pluredro
lexicalizationepo: Uniformaj pluredroj
French
has glossfra: Un polyèdre uniforme est un polyèdre qui a pour faces des polygones réguliers et peut passer dun sommet à lautre (i.e. il existe une isométrie qui applique un sommet quelconque sur un autre. Il en découle que tous les sommets sont congrus, et que le polyèdre possède un haut degré de symétrie axiale et rotationnelle.
lexicalizationfra: Polyedre uniforme
lexicalizationfra: polyèdre uniforme
Italian
has glossita: In geometria, un poliedro uniforme è un poliedro che ammette molte simmetrie, le cui facce sono poligoni regolari e i cui vertici sono omogenei. Le facce non devono però essere necessariamente convesse: molti poliedri uniformi sono quindi stellati. Definizione Un poliedro uniforme è un poliedro tale che: # Le sue facce sono poligoni regolari, non necessariamente convessi. # I vertici sono omogenei: cioè, per ogni coppia di questi esiste una simmetria del solido che sposta il primo nel secondo.
lexicalizationita: poliedro uniforme
Japanese
has glossjpn: 一様多面体（いちようためんたい）とは、全ての構成面が正多角形で、かつ頂点の形状が全て合同な立体のことである。5種類の正多面体、4種類の星型正多面体、13種類の半正多面体、その他の53種類の一様多面体で総計75種類であることが、H.S.M.コクセターらによって確認され、後にJ.スキリングによって証明された。正角柱、反角柱、ミラーの立体などもこの条件を満たすが、一様多面体には含めないことが多い。
lexicalizationjpn: 一様多面体
Castilian
lexicalizationspa: Poliedros uniformes
Media
media:img4hosohedron.svg
media:imgAntiprism 12-5.png
media:imgAntiprism 7-2.png
media:imgAntiprism 7-3.png
media:imgAntiprism 7-4.png
media:imgAntiprism 7.png
media:imgCDW 2.png
media:imgCDW 2c.png
media:imgCDW 3.png
media:imgCDW 4.png
media:imgCDW 5.png
media:imgCDW 6.png
media:imgCDW dash.png
media:imgCDW dot.png
media:imgCDW dot.svg
media:imgCDW hole.png
media:imgCDW hole.svg
media:imgCDW p.png
media:imgCDW p.svg
media:imgCDW q.png
media:imgCDW q.svg
media:imgCDW ring.png
media:imgCDW ring.svg
media:imgCantellated tetrahedron.png
media:imgCube cantellation sequence.png
media:imgCube cantellation sequence.svg
media:imgCube truncation sequence.png
media:imgCube truncation sequence.svg
media:imgCube vertfig.png
media:imgCubitruncated cuboctahedron vertfig.png
media:imgCubitruncated cuboctahedron.png
media:imgCuboctahedron vertfig.png
media:imgCuboctahedron.gif
media:imgCuboctahedron.png
media:imgCubohemioctahedron vertfig.png
media:imgCubohemioctahedron.png
media:imgDecagon.svg
media:imgDecagonal antiprism.png
media:imgDecagonal bipyramid.png
media:imgDecagonal prism vf.png
media:imgDecagonal prism.png
media:imgDigonal dihedron.png
media:imgDisdyakisdodecahedron.jpg
media:imgDisdyakistriacontahedron.jpg
media:imgDitrigonal dodecadodecahedron vertfig.png
media:imgDitrigonal dodecadodecahedron.png
media:imgDodecadodecahedron vertfig.png
media:imgDodecadodecahedron.png
media:imgDodecagon.svg
media:imgDodecagonal antiprism.png
media:imgDodecagonal dihedron.png
media:imgDodecagonal prism vf.png
media:imgDodecagonal prism.png
media:imgDodecahedron vertfig.png
media:imgDodecahedron.gif
media:imgDodecahedron.png
media:imgDual Cube-Octahedron.svg
media:imgDynkins-001.png
media:imgDynkins-010.png
media:imgDynkins-011.png
media:imgDynkins-100.png
media:imgDynkins-101.png
media:imgDynkins-110.png
media:imgDynkins-111.png
media:imgDynkins-sss.png
media:imgGreat cubicuboctahedron vertfig.png
media:imgGreat cubicuboctahedron.png
media:imgGreat dirhombicosidodecahedron vertfig.png
media:imgGreat dirhombicosidodecahedron.png
media:imgGreat disnub dirhombidodecahedron.png
media:imgGreat ditrigonal dodecicosidodecahedron vertfig.png
media:imgGreat ditrigonal dodecicosidodecahedron.png
media:imgGreat ditrigonal icosidodecahedron vertfig.png
media:imgGreat ditrigonal icosidodecahedron.png
media:imgGreat dodecahedron vertfig.png
media:imgGreat dodecahedron.png
media:imgGreat dodecahemicosahedron vertfig.png
media:imgGreat dodecahemicosahedron.png
media:imgGreat dodecahemidodecahedron vertfig.png
media:imgGreat dodecahemidodecahedron.png
media:imgGreat dodecicosahedron vertfig.png
media:imgGreat dodecicosahedron.png
media:imgGreat dodecicosidodecahedron vertfig.png
media:imgGreat dodecicosidodecahedron.png
media:imgGreat icosahedron vertfig.png
media:imgGreat icosahedron.png
media:imgGreat icosicosidodecahedron vertfig.png
media:imgGreat icosicosidodecahedron.png
media:imgGreat icosidodecahedron vertfig.png
media:imgGreat icosidodecahedron.png
media:imgGreat icosihemidodecahedron vertfig.png
media:imgGreat icosihemidodecahedron.png
media:imgGreat inverted snub icosidodecahedron vertfig.png
media:imgGreat inverted snub icosidodecahedron.png
media:imgGreat retrosnub icosidodecahedron vertfig.png
media:imgGreat retrosnub icosidodecahedron.png
media:imgGreat rhombicosidodecahedron vertfig.png
media:imgGreat rhombicosidodecahedron.png
media:imgGreat rhombicuboctahedron vertfig.png
media:imgGreat rhombicuboctahedron.png
media:imgGreat rhombidodecahedron vertfig.png
media:imgGreat rhombidodecahedron.png
media:imgGreat rhombihexahedron vertfig.png
media:imgGreat rhombihexahedron.png
media:imgGreat snub dodecicosidodecahedron vertfig.png
media:imgGreat snub dodecicosidodecahedron.png
media:imgGreat snub icosidodecahedron vertfig.png
media:imgGreat snub icosidodecahedron.png
media:imgGreat stellated dodecahedron vertfig.png
media:imgGreat stellated dodecahedron.png
media:imgGreat stellated truncated dodecahedron vertfig.png
media:imgGreat stellated truncated dodecahedron.png
media:imgGreat truncated cuboctahedron vertfig.png
media:imgGreat truncated cuboctahedron.png
media:imgGreat truncated dodecahedron.png
media:imgGreat truncated icosahedron vertfig.png
media:imgGreat truncated icosahedron.png
media:imgGreat truncated icosidodecahedron vertfig.png
media:imgGreat truncated icosidodecahedron.png
media:imgGreatDodecahedron.jpg
media:imgGreatIcosahedron.jpg
media:imgGreatStellatedDodecahedron.jpg
media:imgHeptagrammic prism 7-2.png
media:imgHeptagrammic prism 7-3.png
media:imgHexagon.svg
media:imgHexagonal antiprism vertfig.png
media:imgHexagonal antiprism.png
media:imgHexagonal dihedron.png
media:imgHexagonal hosohedron.png
media:imgHexagonal prism vertfig.png
media:imgHexagonal prism.png
media:imgHexagonale bipiramide.png
media:imgHexahedron.gif
media:imgHexahedron.png
media:imgIcosahedral reflection domains.png
media:imgIcosahedron vertfig.png
media:imgIcosahedron.gif
media:imgIcosahedron.png
media:imgIcosidodecadodecahedron vertfig.png
media:imgIcosidodecadodecahedron.png
media:imgIcosidodecahedron vertfig.png
media:imgIcosidodecahedron.gif
media:imgIcosidodecahedron1.png
media:imgIcosidodecaëder.png
media:imgIcositruncated dodecadodecahedron vertfig.png
media:imgIcositruncated dodecadodecahedron.png
media:imgInverted snub dodecadodecahedron vertfig.png
media:imgInverted snub dodecadodecahedron.png
media:imgLatervertictrancho de kubo.svg
media:imgOctagon.png
media:imgOctagon.svg
media:imgOctagonal antiprism.png
media:imgOctagonal bipyramid.png
media:imgOctagonal prism vertfig.png
media:imgOctagonal prism.png
media:imgOctahedral reflection domains.png
media:imgOctahedron vertfig.png
media:imgOctahedron.gif
media:imgOctahedron.png
media:imgOctahedron.svg
media:imgOctahemioctahedron vertfig.png
media:imgOctahemioctahedron.png
media:imgOmnitruncated tetrahedron.png
media:imgPentagon.svg
media:imgPentagonal antiprism vertfig.png
media:imgPentagonal antiprism.png
media:imgPentagonal prism vertfig.png
media:imgPentagonal prism.png
media:imgPentagrammic antiprism.png
media:imgPentagrammic crossed antiprism.png
media:imgPentagrammic prism.png
media:imgPolyhedron truncation example3.png
media:imgPrism 11.png
media:imgPrism 12-5.png
media:imgPrism 7.png
media:imgPrism 8-3.png
media:imgPrism 9-2.png
media:imgPrism 9.png
media:imgRectified tetrahedron.png
media:imgRegular digon in spherical geometry-2.svg
media:imgRhombicosahedron vertfig.png
media:imgRhombicosahedron.png
media:imgRhombicosidodecahedron.gif
media:imgRhombicuboctahedron.gif
media:imgRhombidodecadodecahedron vertfig.png
media:imgRhombidodecadodecahedron.png
media:imgRiprochigo de kubo.svg
media:imgSmall cubicuboctahedron vertfig.png
media:imgSmall cubicuboctahedron.png
media:imgSmall ditrigonal dodecicosidodecahedron vertfig.png
media:imgSmall ditrigonal dodecicosidodecahedron.png
media:imgSmall ditrigonal icosidodecahedron vertfig.png
media:imgSmall ditrigonal icosidodecahedron.png
media:imgSmall dodecahemicosahedron vertfig.png
media:imgSmall dodecahemicosahedron.png
media:imgSmall dodecahemidodecahedron vertfig.png
media:imgSmall dodecahemidodecahedron.png
media:imgSmall dodecicosahedron vertfig.png
media:imgSmall dodecicosahedron.png
media:imgSmall dodecicosidodecahedron vertfig.png
media:imgSmall dodecicosidodecahedron.png
media:imgSmall icosicosidodecahedron vertfig.png
media:imgSmall icosicosidodecahedron.png
media:imgSmall icosihemidodecahedron vertfig.png
media:imgSmall icosihemidodecahedron.png
media:imgSmall retrosnub icosicosidodecahedron vertfig.png
media:imgSmall retrosnub icosicosidodecahedron.png
media:imgSmall rhombicosidodecahedron vertfig.png
media:imgSmall rhombicosidodecahedron.png
media:imgSmall rhombicuboctahedron vertfig.png
media:imgSmall rhombicuboctahedron.png
media:imgSmall rhombidodecahedron vertfig.png
media:imgSmall rhombidodecahedron.png
media:imgSmall rhombihexahedron vertfig.png
media:imgSmall rhombihexahedron.png
media:imgSmall snub icosicosidodecahedron vertfig.png
media:imgSmall snub icosicosidodecahedron.png
media:imgSmall stellated dodecahedron vertfig.png
media:imgSmall stellated dodecahedron.png
media:imgSmall stellated truncated dodecahedron vertfig.png
media:imgSmall stellated truncated dodecahedron.png
media:imgSmallStellatedDodecahedron.jpg
media:imgSnub cube vertfig.png
media:imgSnub dodecadodecahedron vertfig.png
media:imgSnub dodecadodecahedron.png
media:imgSnub dodecahedron ccw.png
media:imgSnub dodecahedron vertfig.png
media:imgSnub hexahedron.png
media:imgSnub icosidodecadodecahedron vertfig.png
media:imgSnub icosidodecadodecahedron.png
media:imgSnub tetrahedron.png
media:imgSnubcubes in grCO.png
media:imgSnubcubes in grCO.svg
media:imgSnubdodecahedroncw.gif
media:imgSnubhexahedroncw.gif
media:imgSphere symmetry group d2h.png
media:imgSphere symmetry group d3h.png
media:imgSphere symmetry group ih.png
media:imgSphere symmetry group oh.png
media:imgSphere symmetry group td.png
media:imgSpherical alternated truncated octahedron.png
media:imgSpherical hexagonal antiprism.png
media:imgSpherical hexagonal prism.png
media:imgSpherical snub cube.png
media:imgSpherical snub dodecahedron.png
media:imgSpherical snub tetrahedron.png
media:imgSpherical truncated hexagonal prism.png
media:imgSpherical truncated trigonal prism.png
media:imgSquare antiprism vertfig.png
media:imgSquare antiprism.png
media:imgSquare definition.svg
media:imgStellated truncated hexahedron vertfig.png
media:imgStellated truncated hexahedron.png
media:imgTetragonal prism.png
media:imgTetrahedral reflection domains.png
media:imgTetrahedron vertfig.png
media:imgTetrahedron.gif
media:imgTetrahedron.png
media:imgTetrahemihexahedron vertfig.png
media:imgTetrahemihexahedron.png
media:imgTetrakishexahedron.jpg
media:imgTrancho de kubo.svg
media:imgTriangle.Equilateral.svg
media:imgTriangular prism vertfig.png
media:imgTriangular prism.png
media:imgTrigonal antiprism.png
media:imgTrigonal dihedron.png
media:imgTrigonal hosohedron.png
media:imgTruncated cube vertfig.png
media:imgTruncated dodecadodecahedron vertfig.png
media:imgTruncated dodecadodecahedron.png
media:imgTruncated dodecahedron vertfig.png
media:imgTruncated dodecahedron.png
media:imgTruncated great dodecahedron vertfig.png
media:imgTruncated hexahedron.png
media:imgTruncated icosahedron vertfig.png
media:imgTruncated icosahedron.png
media:imgTruncated octahedron vertfig.png
media:imgTruncated octahedron.png
media:imgTruncated tetrahedron vertfig.png
media:imgTruncated tetrahedron.png
media:imgTruncatedcuboctahedron.gif
media:imgTruncateddodecahedron.gif
media:imgTruncatedhexahedron.gif
media:imgTruncatedicosahedron.gif
media:imgTruncatedicosidodecahedron.gif
media:imgTruncatedoctahedron.gif
media:imgTruncatedtetrahedron.gif
media:imgUniform great rhombicosidodecahedron vertfig.png
media:imgUniform great rhombicosidodecahedron.png
media:imgUniform great rhombicuboctahedron vertfig.png
media:imgUniform great rhombicuboctahedron.png
media:imgUniform polyhedron 222-t012.png
media:imgUniform polyhedron-33-s012.png
media:imgUniform polyhedron-33-t0.png
media:imgUniform polyhedron-33-t01.png
media:imgUniform polyhedron-33-t012.png
media:imgUniform polyhedron-33-t02.png
media:imgUniform polyhedron-33-t1.png
media:imgUniform polyhedron-33-t12.png
media:imgUniform polyhedron-33-t2.png
media:imgUniform polyhedron-43-h01.png
media:imgUniform polyhedron-43-s012.png
media:imgUniform polyhedron-43-t0.png
media:imgUniform polyhedron-43-t01.png
media:imgUniform polyhedron-43-t012.png
media:imgUniform polyhedron-43-t02.png
media:imgUniform polyhedron-43-t1.png
media:imgUniform polyhedron-43-t12.png
media:imgUniform polyhedron-43-t2.png
media:imgUniform polyhedron-53-s012.png
media:imgUniform polyhedron-53-t0.png
media:imgUniform polyhedron-53-t01.png
media:imgUniform polyhedron-53-t012.png
media:imgUniform polyhedron-53-t02.png
media:imgUniform polyhedron-53-t1.png
media:imgUniform polyhedron-53-t12.png
media:imgUniform polyhedron-53-t2.png
media:imgUniform tiling 332-t0.png
media:imgUniform tiling 332-t01-1-.png
media:imgUniform tiling 332-t012.png
media:imgUniform tiling 332-t02.png
media:imgUniform tiling 332-t1.png
media:imgUniform tiling 332-t12.png
media:imgUniform tiling 332-t2.png
media:imgUniform tiling 432-t0.png
media:imgUniform tiling 432-t01.png
media:imgUniform tiling 432-t012.png
media:imgUniform tiling 432-t02.png
media:imgUniform tiling 432-t1.png
media:imgUniform tiling 432-t12.png
media:imgUniform tiling 432-t2.png
media:imgUniform tiling 532-t0.png
media:imgUniform tiling 532-t01.png
media:imgUniform tiling 532-t012.png
media:imgUniform tiling 532-t02.png
media:imgUniform tiling 532-t1.png
media:imgUniform tiling 532-t12.png
media:imgUniform tiling 532-t2.png
media:imgUniform-Polyhedra-at-the-Science-Museum.jpg
media:imgWythoffian construction diagram.png

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