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Four numbering schemes for the uniform polyhedra are in common use, distinguished by letters: [C] Coxeter et al., 1954, showed the convex forms as figures 15 through 32; three prismatic forms, figures 33–35; and the nonconvex forms, figures 36–92.
The picture and this template share the same colors. See also: Template:Numeral systems for computation; Template:Logical connectives table and Hasse diagram; commons:Category:Colored nibbles (blue, green, white)
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There are eight uniform tilings that can be based from the regular hexagonal tiling (or the dual triangular tiling).Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 8 forms, 7 which are topologically distinct.
One example self-tiling with a pentahex. All of the polyhexes with fewer than five hexagons can form at least one regular plane tiling. In addition, the plane tilings of the dihex and straight polyhexes are invariant under 180 degrees rotation or reflection parallel or perpendicular to the long axis of the dihex (order 2 rotational and order 4 reflection symmetry), and the hexagon tiling and ...
14.5.2 Non-convex. 14.5.3 Tessellation. 14.6 Three-dimensional regular polytopes. ... Table of Shapes Section Sub-Section Sup-Section Name Algebraic Curves ¿ Curves
1.4 5-polytope. 1.5 Other. 2 Two dimensional (polygons) Toggle Two dimensional (polygons) subsection. 2.1 Star polygons. 2.2 Families. ... Toggle the table of contents.
The number of vertices, edges, and faces of GP(m,n) can be computed from m and n, with T = m 2 + mn + n 2 = (m + n) 2 − mn, depending on one of three symmetry systems: [1] The number of non-hexagonal faces can be determined using the Euler characteristic, as demonstrated here.