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In geometry, the truncated dodecadodecahedron (or stellatruncated dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U59. It is given a Schläfli symbol t0,1,2{5⁄3,5}. It has 54 faces (30 squares, 12 decagons, and 12 decagrams), 180 edges, and 120 vertices. The central region of the polyhedron is connected to the exterior via 20 small triangular holes.

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  • En geometria, el dodecadodecàedre truncat és un políedre uniforme no convex indexat com a U59. Té un t0,1,2{5/3,5}. Té 120 vèrtexs i 54 cares: 30 quadrats, 12 decàgons i 12 . La regió central del políedre està connectada amb l'exterior mitjançant 20 petits forats triangulars. El terme dodecadodecàedre truncat pots er una mica confús: la truncació del produiria cares rectangulars i no pas quadrades, i les cares en forma de pentagrama del dodecàedre es convertirien en pentagrames truncats i no pas en decagrames. Tanmateix, es tracta de la quasitruncació del dodecadodecàedre, segons . Per aquesta raó, també se'l coneix com a dodecadodecàedre quasitruncat. Coxeter et al. acrediten el seu descobriment a un article publicat pel matemàtic austríac Johann Pitsch el 1881. (ca)
  • En geometrio, la senpintigita dekdu-dekduedro estas nekonveksa unuforma pluredro, indeksita kiel U59. (eo)
  • En géométrie, le dodécadodécaèdre tronqué est un polyèdre uniforme non-convexe, indexé sous le nom U59. (fr)
  • In geometry, the truncated dodecadodecahedron (or stellatruncated dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U59. It is given a Schläfli symbol t0,1,2{5⁄3,5}. It has 54 faces (30 squares, 12 decagons, and 12 decagrams), 180 edges, and 120 vertices. The central region of the polyhedron is connected to the exterior via 20 small triangular holes. The name truncated dodecadodecahedron is somewhat misleading: truncation of the dodecadodecahedron would produce rectangular faces rather than squares, and the pentagram faces of the dodecadodecahedron would turn into truncated pentagrams rather than decagrams. However, it is the quasitruncation of the dodecadodecahedron, as defined by . For this reason, it is also known as the quasitruncated dodecadodecahedron. Coxeter et al. credit its discovery to a paper published in 1881 by Austrian mathematician Johann Pitsch. (en)
  • 切頂十二・十二面体(せっちょうじゅうに・じゅうにめんたい、Truncated dodecadodecahedron)とは、一様多面体の一種で、十二・十二面体の頂点を特殊な形で切り落としたものである。 (ja)
  • 在幾何學中,截角截半大十二面體又稱為星形截角截半大十二面體是一種由30個正方形、12個十角星和12個正十邊形組成的星形均勻多面體。 (zh)
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dbp:title
  • Medial disdyakis triacontahedron (en)
  • Truncated dodecadodecahedron (en)
dbp:urlname
  • MedialDisdyakisTriacontahedron (en)
  • TruncatedDodecadodecahedron (en)
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  • En geometrio, la senpintigita dekdu-dekduedro estas nekonveksa unuforma pluredro, indeksita kiel U59. (eo)
  • En géométrie, le dodécadodécaèdre tronqué est un polyèdre uniforme non-convexe, indexé sous le nom U59. (fr)
  • 切頂十二・十二面体(せっちょうじゅうに・じゅうにめんたい、Truncated dodecadodecahedron)とは、一様多面体の一種で、十二・十二面体の頂点を特殊な形で切り落としたものである。 (ja)
  • 在幾何學中,截角截半大十二面體又稱為星形截角截半大十二面體是一種由30個正方形、12個十角星和12個正十邊形組成的星形均勻多面體。 (zh)
  • En geometria, el dodecadodecàedre truncat és un políedre uniforme no convex indexat com a U59. Té un t0,1,2{5/3,5}. Té 120 vèrtexs i 54 cares: 30 quadrats, 12 decàgons i 12 . La regió central del políedre està connectada amb l'exterior mitjançant 20 petits forats triangulars. (ca)
  • In geometry, the truncated dodecadodecahedron (or stellatruncated dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U59. It is given a Schläfli symbol t0,1,2{5⁄3,5}. It has 54 faces (30 squares, 12 decagons, and 12 decagrams), 180 edges, and 120 vertices. The central region of the polyhedron is connected to the exterior via 20 small triangular holes. (en)
rdfs:label
  • Dodecadodecàedre truncat (ca)
  • Senpintigita dekdu-dekduedro (eo)
  • Dodécadodécaèdre tronqué (fr)
  • 切頂十二・十二面体 (ja)
  • Truncated dodecadodecahedron (en)
  • 截角截半大十二面體 (zh)
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