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A pseudo-uniform polyhedron is a polyhedron which has regular polygons as faces and has the same vertex configuration at all vertices but is not vertex-transitive: it is not true that for any two vertices, there exists a symmetry of the polyhedron mapping the first isometrically onto the second. Thus, although all the vertices of a pseudo-uniform polyhedron appear the same, it is not isogonal. They are called pseudo-uniform polyhedra due to their resemblance to some true uniform polyhedra.

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  • Pseudo-uniform polyhedron (en)
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  • A pseudo-uniform polyhedron is a polyhedron which has regular polygons as faces and has the same vertex configuration at all vertices but is not vertex-transitive: it is not true that for any two vertices, there exists a symmetry of the polyhedron mapping the first isometrically onto the second. Thus, although all the vertices of a pseudo-uniform polyhedron appear the same, it is not isogonal. They are called pseudo-uniform polyhedra due to their resemblance to some true uniform polyhedra. (en)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Octagonal_prism.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Small_rhombicuboctahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Prism_8-3.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Uniform_great_rhombicuboctahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Exploded_rhombicuboctahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Pseudorhombicuboctahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Crossed_square_cupola.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Excavated_octagrammic_prism_A.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Excavated_octagrammic_prism_B.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Monoexcavated_octagrammic_prism.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Pseudo-great_strombic_icositetrahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Elongated_square_cupola.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Johnson_solid_37_net.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Johnson_solid_37.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Pseudo-great_rhombicuboctahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Pseudo-strombic_icositetrahedron.png
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  • A pseudo-uniform polyhedron is a polyhedron which has regular polygons as faces and has the same vertex configuration at all vertices but is not vertex-transitive: it is not true that for any two vertices, there exists a symmetry of the polyhedron mapping the first isometrically onto the second. Thus, although all the vertices of a pseudo-uniform polyhedron appear the same, it is not isogonal. They are called pseudo-uniform polyhedra due to their resemblance to some true uniform polyhedra. There are two pseudo-uniform polyhedra: the pseudorhombicuboctahedron and the pseudo-great rhombicuboctahedron. They both have D4d symmetry, the same symmetry as a square antiprism. They can both be constructed from a uniform polyhedron by twisting one cupola-shaped cap. (en)
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