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  2. Rhombic dodecahedral honeycomb - Wikipedia

    en.wikipedia.org/wiki/Rhombic_dodecahedral_honeycomb

    The rhombic pyramidal honeycomb or half oblate octahedrille is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. This honeycomb can be seen as a rhombic dodecahedral honeycomb, with the rhombic dodecahedra dissected with its center into 12 rhombic pyramids.

  3. Triangular tiling - Wikipedia

    en.wikipedia.org/wiki/Triangular_tiling

    In geometry, the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane, and is the only such tiling where the constituent shapes are not parallelogons. Because the internal angle of the equilateral triangle is 60 degrees, six triangles at a point occupy a full 360 degrees.

  4. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .

  5. List of tessellations - Wikipedia

    en.wikipedia.org/wiki/List_of_tessellations

    Download as PDF; Printable version; In other projects ... This is a list of tessellations. ... Spherical. Regular Spherical (n=1, 2, 3, ...) Article Vertex configuration

  6. Tessellation - Wikipedia

    en.wikipedia.org/wiki/Tessellation

    Tessellation is used in manufacturing industry to reduce the wastage of material (yield losses) such as sheet metal when cutting out shapes for objects such as car doors or drink cans. [78] Tessellation is apparent in the mudcrack-like cracking of thin films [79] [80] – with a degree of self-organisation being observed using micro and ...

  7. 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). English mathematician John Conway called it a hextille.

  8. Architectonic and catoptric tessellation - Wikipedia

    en.wikipedia.org/wiki/Architectonic_and...

    Architectonic tessellation Catoptric tessellation Name Coxeter diagram Image Vertex figure Image Cells Name Cell Vertex figures; J 11,15 A 1 W 1 G 22 δ 4 nc [4,3,4] Cubille (Cubic honeycomb) Octahedron, Cubille: Cube, J 12,32 A 15 W 14 G 7 t 1 δ 4 nc [4,3,4] Cuboctahedrille (Rectified cubic honeycomb) Cuboid, Oblate octahedrille: Isosceles ...

  9. Category:Tessellation - Wikipedia

    en.wikipedia.org/wiki/Category:Tessellation

    Download as PDF; Printable version; ... (3 C, 21 P) Tilings by face ... Pages in category "Tessellation" The following 43 pages are in this category, out of 43 total.

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