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  2. 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 ...

  3. Patterns in nature - Wikipedia

    en.wikipedia.org/wiki/Patterns_in_nature

    Patterns in nature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modelled mathematically . Natural patterns include symmetries , trees , spirals , meanders , waves , foams , tessellations , cracks and stripes. [ 1 ]

  4. List of tessellations - Wikipedia

    en.wikipedia.org/wiki/List_of_tessellations

    Dual semi-regular Article Face configuration Schläfli symbol Image Apeirogonal deltohedron: V3 3.∞ : dsr{2,∞} Apeirogonal bipyramid: V4 2.∞ : dt{2,∞} Cairo pentagonal tiling

  5. List of Euclidean uniform tilings - Wikipedia

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

    A uniform coloring allows identical sided polygons at a vertex to be colored differently, while still maintaining vertex-uniformity and transformational congruence between vertices. (Note: Some of the tiling images shown below are not color-uniform.)

  6. Tessellated pavement - Wikipedia

    en.wikipedia.org/wiki/Tessellated_pavement

    A tessellated pavement at Eaglehawk Neck, Tasmania, where a rock surface has been divided by fractures, producing a set of rectangular blocks. In geology and geomorphology, a tessellated pavement is a relatively flat rock surface that is subdivided into polygons by fractures, frequently systematic joints, within the rock.

  7. Rhombic dodecahedral honeycomb - Wikipedia

    en.wikipedia.org/wiki/Rhombic_dodecahedral_honeycomb

    The trapezo-rhombic dodecahedral honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It consists of copies of a single cell, the trapezo-rhombic dodecahedron . It is similar to the higher symmetric rhombic dodecahedral honeycomb which has all 12 faces as rhombi.

  8. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    A Penrose tiling with rhombi exhibiting fivefold symmetry. A Penrose tiling is an example of an aperiodic tiling.Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling is aperiodic if it does not contain arbitrarily large periodic regions or patches.

  9. Cubic honeycomb - Wikipedia

    en.wikipedia.org/wiki/Cubic_honeycomb

    The cubic honeycomb or cubic cellulation is the only proper regular space-filling tessellation (or honeycomb) in Euclidean 3-space made up of cubic cells. It has 4 cubes around every edge, and 8 cubes around each vertex. Its vertex figure is a regular octahedron. It is a self-dual tessellation with Schläfli symbol {4,3,4}.