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Goldberg polyhedron with 42 faces
In geometry, the chamfered dodecahedron is a convex polyhedron with 80 vertices, 120 edges, and 42 faces: 30 hexagons and 12 pentagons. It is constructed
Chamfered_dodecahedron
Geometric operation which truncates the edges of polyhedra
is the shape of a chamfered cube. chamfered octahedron or tritruncated rhombic dodecahedron: from a regular octahedron by chamfering, or by truncating
Chamfer_(geometry)
Polyhedron resembling a soccerball
uniform chamfered dodecahedron (truncated rhombic triacontahedron), which has 42 faces (12 pentagons and 30 hexagons). Chamfered dodecahedron Icosahedral
Truncated_icosahedron
Solid with 12 equal pentagonal faces
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron (a polyhedron with 12 faces) composed of regular pentagonal faces, three meeting at
Regular_dodecahedron
Convex polyhedron made from hexagons and pentagons
equiangular) faces. Simple examples of Goldberg polyhedra include the dodecahedron and truncated icosahedron. Other forms can be described by taking a chess
Goldberg_polyhedron
N-dimensional polytope with vertices adjacent to N facets
Goldberg polyhedra and fullerenes, including the chamfered tetrahedron, chamfered cube, and chamfered dodecahedron. In general, any polyhedron can be made into
Simple_polytope
Shape with six sides
Hexagons in Goldberg polyhedra Tetrahedral Octahedral Icosahedral Chamfered tetrahedron Chamfered cube Chamfered dodecahedron
Hexagon
Convex polyhedron with 72 faces
k5k6. The whirled dodecahedron creates more polyhedra by basic Conway polyhedron notation. The zip whirled dodecahedron makes a chamfered truncated icosahedron
Order-5 truncated pentagonal hexecontahedron
Order-5_truncated_pentagonal_hexecontahedron
Convex polyhedron whose faces are almost regular polygons
order 12 Tetrated dodecahedron 4 (5.5.5) 12 (3.5.3.5) 12 (3.3.5.5) 28 54 28 16 12 Td, [3,3] order 24 Chamfered dodecahedron cD 60 (5.6.6) 20
Near-miss_Johnson_solid
Combination puzzle
of the Tuttminx. Tuttminx ball, also sticker variations of that. Chamfered dodecahedron tuttminx. It looks similar to the Tuttminx, but hexagons are located
Tuttminx
Near-miss Johnson solid with 16 faces
cube Truncated triakis octahedron Truncated triakis icosahedron Chamfered dodecahedron Sloane, N. J. A. (ed.). "Sequence A007894 (Number of fullerenes
Truncated_triakis_tetrahedron
Four-dimensional analog of the icosahedron
Class I {3,5+}2,0 geodesic polyhedron), which is the dual of the chamfered dodecahedron (the cell first envelope of the {5,3,3} 120-cell). It contains 42
600-cell
Four-dimensional analog of the dodecahedron
vertices. It is the 4-dimensional analogue of the regular dodecahedron, since just as a dodecahedron has 12 pentagonal facets, with 3 around each vertex, the
120-cell
Science fiction television series based on the premise of limited time travel
"Backstep Sphere" or simply "the Sphere", is a blue-colored 16-sided chamfered dodecahedron time machine with a detachable vacuum-sealed entry hatch. As each
Seven_Days_(TV_series)
Regular tiling of a two-dimensional space
edge. This is similar to the relation of the rhombic dodecahedron and the rhombo-hexagonal dodecahedron tessellations in 3 dimensions. It is also possible
Hexagonal_tiling
Method of describing higher-order polyhedra
with kn and tn operators. For example, a chamfered cube, cC, can be constructed as t4daC, as a rhombic dodecahedron, daC or jC, with its degree-4 vertices
Conway_polyhedron_notation
Solid with six equal square faces
Gelişgen, Özcan; Yavuz, Serhat (2019). "Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces". Mathematical Sciences and Applications E-Notes
Cube
Archimedean solid with 26 faces
cuboctahedral rhombus, with cuboctahedral rhombus being his name for a rhombic dodecahedron. The rhombicuboctahedron is an Archimedean solid, and its dual is a Catalan
Rhombicuboctahedron
Polyhedral compound
shares these properties with the compound of five cubes (related to the dodecahedron), into which it can be transformed by rotating the colored cubes on their
Compound_of_four_cubes
Operation that cuts polytope vertices, creating a new facet in place of each vertex
truncations are symmetry-based; for example, the tetrahedrally diminished dodecahedron. The linear truncation process can be generalized by allowing parametric
Truncation_(geometry)
found, for instance, in a marble mosaic featuring the small stellated dodecahedron, attributed to Paolo Uccello, in the floor of the San Marco Basilica
Mathematics_and_art
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