What does tessellate mean?

Definitions for tessellate
ˈtɛs əˌleɪt; -lɪt, -ˌleɪttes·sel·late

This dictionary definitions page includes all the possible meanings, example usage and translations of the word tessellate.

Princeton's WordNet

  1. tessellateverb

    fit together exactly, of identical shapes

    "triangles tessellate"

  2. tessellateverb

    tile with tesserae

    "tessellate the kitchen floor"

Wiktionary

  1. tessellateverb

    To cover with tiles or stones, as a mosaic.

  2. tessellateverb

    Of a two-dimensional shape, such that multiple copies of itself placed edge to edge cover an area leaving no space between the shapes.

    Regular hexagons tessellate.

  3. tessellateverb

    To completely fill (an area) when multiple copies of one or more two-dimensional shapes are placed edge to edge.

    It is possible to tessellate the plane with equilateral triangles and regular hexagons.

Wikipedia

  1. tessellate

    A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semiregular tilings with regular tiles of more than one shape and with every corner identically arranged. The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. A tiling that lacks a repeating pattern is called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern. A tessellation of space, also known as a space filling or honeycomb, can be defined in the geometry of higher dimensions. A real physical tessellation is a tiling made of materials such as cemented ceramic squares or hexagons. Such tilings may be decorative patterns, or may have functions such as providing durable and water-resistant pavement, floor or wall coverings. Historically, tessellations were used in Ancient Rome and in Islamic art such as in the Moroccan architecture and decorative geometric tiling of the Alhambra palace. In the twentieth century, the work of M. C. Escher often made use of tessellations, both in ordinary Euclidean geometry and in hyperbolic geometry, for artistic effect. Tessellations are sometimes employed for decorative effect in quilting. Tessellations form a class of patterns in nature, for example in the arrays of hexagonal cells found in honeycombs.

ChatGPT

  1. tessellate

    To tessellate is to cover a plane or surface with shapes in a repetitive pattern without any gaps or overlaps. This term is often used in the fields of mathematics, art, and architecture. In geometry, polygons like squares, triangles, hexagons are common shapes that can tessellate a plane.

Webster Dictionary

  1. Tessellateverb

    to form into squares or checkers; to lay with checkered work

  2. Tessellateadjective

    tessellated

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Numerology

  1. Chaldean Numerology

    The numerical value of tessellate in Chaldean Numerology is: 9

  2. Pythagorean Numerology

    The numerical value of tessellate in Pythagorean Numerology is: 1


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"tessellate." Definitions.net. STANDS4 LLC, 2024. Web. 17 Apr. 2024. <https://www.definitions.net/definition/tessellate>.

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