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- Tetrahedrally_diminished_dodecahedron abstract "In geometry, a tetrahedrally diminished dodecahedron (also tetrahedrally stellated icosahedron) is a topologically self-dual polyhedron made of 16 vertices, 30 edges, and 16 faces (4 equilateral triangles and 12 identical quadrilaterals). As a truncated regular dodecahedron, the quadrilaterals faces are trapezoids. Other geometric variation have the quadrilaterals as kites.It has chiral tetrahedral symmetry, and so its geometry can be constructed from pyritohedral symmetry of the pseudoicosahedron with 4 faces stellated, or from the pyritohedron, with 4 vertices diminished (truncated with full edges removed). Within its tetrahedral symmetry, it has geometric varied proportions. By Dorman Luke dual construction, a unique geometric proportion can be defined. The kite faces have edges of length ratio ~ 1:0.6325.As a self-dual hexadecahedron, it is one of 302404 forms, 1476 with at least order 2 symmetry, and the only one with tetrahedral symmetry.As a stellation of the icosahedron it is one of 32 stellations defined with tetrahedral symmetry.In Conway polyhedron notation, it can represented as pT, using George W. Hart's propeller operator.".
- Tetrahedrally_diminished_dodecahedron thumbnail Tetrahedral_self-dual_hexadecahedron.png?width=300.
- Tetrahedrally_diminished_dodecahedron wikiPageExternalLink tetra_di_.htm.
- Tetrahedrally_diminished_dodecahedron wikiPageExternalLink tetrahedrally_stellated_icosahedron.wrl.
- Tetrahedrally_diminished_dodecahedron wikiPageExternalLink tetrahedrally_truncated_dodecahedron.wrl.
- Tetrahedrally_diminished_dodecahedron wikiPageExternalLink __generation_of_icosahedron_by_5tetrahedra.htm.
- Tetrahedrally_diminished_dodecahedron wikiPageID "40710756".
- Tetrahedrally_diminished_dodecahedron wikiPageLength "3887".
- Tetrahedrally_diminished_dodecahedron wikiPageOutDegree "39".
- Tetrahedrally_diminished_dodecahedron wikiPageRevisionID "671351732".
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Category:Polyhedra.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Conway_polyhedron_notation.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Diminishment_(geometry).
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Dodecahedron.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Dual_polyhedron.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Geometry.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink George_W._Hart.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Hexadecahedron.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Icosahedral_honeycomb.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Icosahedron.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Johnson_solid.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Kite_(geometry).
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink List_of_spherical_symmetry_groups.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Partially_diminished_icosahedral_honeycomb.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Pentagonal_antiprism.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Pseudoicosahedron.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Pyritohedral_symmetry.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Pyritohedron.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Quadrilateral.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Schlegel_diagram.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Stellation.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Tetrahedral_symmetry.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Trapezoid.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Triangle.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Truncation_(geometry).
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Uniform_honeycombs_in_hyperbolic_space.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink VRML.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Vertex_configuration.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink Vertex_figure.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink File:Partial_truncation_order-3_icosahedral_honeycomb_verf.png.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLink File:Tetrahedral_self-dual_hexadecahedron.png.
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLinkText "Tetrahedrally diminished dodecahedron".
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLinkText "Tetrahedrally_diminished_dodecahedron".
- Tetrahedrally_diminished_dodecahedron wikiPageWikiLinkText "tetrahedrally diminished dodecahedron".
- Tetrahedrally_diminished_dodecahedron hasPhotoCollection Tetrahedrally_diminished_dodecahedron.
- Tetrahedrally_diminished_dodecahedron wikiPageUsesTemplate Template:Polyhedra.
- Tetrahedrally_diminished_dodecahedron wikiPageUsesTemplate Template:Polyhedron_navigator.
- Tetrahedrally_diminished_dodecahedron wikiPageUsesTemplate Template:Reflist.
- Tetrahedrally_diminished_dodecahedron subject Category:Polyhedra.
- Tetrahedrally_diminished_dodecahedron comment "In geometry, a tetrahedrally diminished dodecahedron (also tetrahedrally stellated icosahedron) is a topologically self-dual polyhedron made of 16 vertices, 30 edges, and 16 faces (4 equilateral triangles and 12 identical quadrilaterals). As a truncated regular dodecahedron, the quadrilaterals faces are trapezoids.".
- Tetrahedrally_diminished_dodecahedron label "Tetrahedrally diminished dodecahedron".
- Tetrahedrally_diminished_dodecahedron sameAs m.0y51z65.
- Tetrahedrally_diminished_dodecahedron sameAs Q17085917.
- Tetrahedrally_diminished_dodecahedron sameAs Q17085917.
- Tetrahedrally_diminished_dodecahedron wasDerivedFrom Tetrahedrally_diminished_dodecahedron?oldid=671351732.
- Tetrahedrally_diminished_dodecahedron depiction Tetrahedral_self-dual_hexadecahedron.png.
- Tetrahedrally_diminished_dodecahedron isPrimaryTopicOf Tetrahedrally_diminished_dodecahedron.