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  2. Tessellation - Wikipedia

    en.wikipedia.org/wiki/Tessellation

    The honeycomb is a well-known example of tessellation in nature with its hexagonal cells. [82] In botany, the term "tessellate" describes a checkered pattern, for example on a flower petal, tree bark, or fruit. Flowers including the fritillary, [83] and some species of Colchicum, are characteristically tessellate. [84]

  3. Patterns in nature - Wikipedia

    en.wikipedia.org/wiki/Patterns_in_nature

    Patterns in Nature. Little, Brown & Co. Stewart, Ian (2001). What Shape is a Snowflake? Magical Numbers in Nature. Weidenfeld & Nicolson. Patterns from nature (as art) Edmaier, Bernard. Patterns of the Earth. Phaidon Press, 2007. Macnab, Maggie. Design by Nature: Using Universal Forms and Principles in Design. New Riders, 2012. Nakamura, Shigeki.

  4. Architectonic and catoptric tessellation - Wikipedia

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

    Ref. [1] indices Symmetry 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 ...

  5. Bitruncated cubic honeycomb - Wikipedia

    en.wikipedia.org/wiki/Bitruncated_cubic_honeycomb

    The honeycomb represents the permutohedron tessellation for 3-space. The coordinates of the vertices for one octahedron represent a hyperplane of integers in 4-space, specifically permutations of (1,2,3,4). The tessellation is formed by translated copies within the hyperplane. The tessellation is the highest tessellation of parallelohedrons in ...

  6. Honeycomb (geometry) - Wikipedia

    en.wikipedia.org/wiki/Honeycomb_(geometry)

    The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. pp. 164– 199. ISBN 0-486-23729-X. Chapter 5: Polyhedra packing and space filling; Critchlow, K.: Order in space. Pearce, P.: Structure in nature is a strategy for design.

  7. List of tessellations - Wikipedia

    en.wikipedia.org/wiki/List_of_tessellations

    This is a list of tessellations. This list is incomplete; you can help by ... Regular Spherical (n=1, 2, 3, ...) Article Vertex configuration Schläfli symbol Image ...

  8. Rhombille tiling - Wikipedia

    en.wikipedia.org/wiki/Rhombille_tiling

    In geometry, the rhombille tiling, [1] also known as tumbling blocks, [2] reversible cubes, or the dice lattice, is a tessellation of identical 60° rhombi on the Euclidean plane. Each rhombus has two 60° and two 120° angles; rhombi with this shape are sometimes also called diamonds. Sets of three rhombi meet at their 120° angles, and sets ...

  9. Reptiles (M. C. Escher) - Wikipedia

    en.wikipedia.org/wiki/Reptiles_(M._C._Escher)

    Reptiles depicts a desk upon which is a two dimensional drawing of a tessellated pattern of reptiles and hexagons, Escher's 1939 Regular Division of the Plane. [2] [3] [1] The reptiles at one edge of the drawing emerge into three dimensional reality, come to life and appear to crawl over a series of symbolic objects (a book on nature, a geometer's triangle, a three dimensional dodecahedron, a ...