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  2. Truncated hexagonal trapezohedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_hexagonal...

    The Weaire–Phelan structure contains another form of this polyhedron that has D 2d symmetry and is a part of a space-filling honeycomb along with an irregular dodecahedron. Irregular tetradecahedron

  3. Hexagonal chess - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_chess

    The board is shaped as an irregular hexagon with nine files and ten ranks, comprising 70 cells as opposed to 91 in GliƄski's board. The files are labelled a to i; the oblique ranks running diagonally from 10 to 4 o'clock are numbered 1 to 10. For example (see diagram), the two kings start on e1 and e10; White's rooks start on a1 and i5, and ...

  4. Hexagon - Wikipedia

    en.wikipedia.org/wiki/Hexagon

    A regular skew hexagon seen as edges (black) of a triangular antiprism, symmetry D 3d, [2 +,6], (2*3), order 12. A skew hexagon is a skew polygon with six vertices and edges but not existing on the same plane. The interior of such a hexagon is not generally defined. A skew zig-zag hexagon has vertices alternating between two parallel planes.

  5. List of Euclidean uniform tilings - Wikipedia

    en.wikipedia.org/wiki/List_of_euclidean_uniform...

    This includes the 3 regular tiles (triangle, square and hexagon) and 8 irregular ones. [4] Each vertex has edges evenly spaced around it. Three dimensional analogues of the planigons are called stereohedrons. These dual tilings are listed by their face configuration, the number of faces at each vertex of a face.

  6. Icositetragon - Wikipedia

    en.wikipedia.org/wiki/Icositetragon

    The full symmetry of the regular form is r48 and no symmetry is labeled a1. The dihedral symmetries are divided depending on whether they pass through vertices ( d for diagonal) or edges ( p for perpendiculars), and i when reflection lines path through both edges and vertices.

  7. Hexagonal tiling honeycomb - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_tiling_honeycomb

    The omnitruncated hexagonal tiling honeycomb or omnitruncated order-6 tetrahedral honeycomb, t 0,1,2,3 {6,3,3}, has truncated octahedron, hexagonal prism, dodecagonal prism, and truncated trihexagonal tiling cells, with an irregular tetrahedron vertex figure.

  8. Truncated hexagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Truncated_hexagonal_tiling

    In geometry, the truncated hexagonal tiling is a semiregular tiling of the Euclidean plane.There are 2 dodecagons (12-sides) and one triangle on each vertex.. As the name implies this tiling is constructed by a truncation operation applied to a hexagonal tiling, leaving dodecagons in place of the original hexagons, and new triangles at the original vertex locations.

  9. Hexagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_tiling

    In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t{3,6} (as a truncated triangular tiling).