What does tessellation mean?

Definitions for tessellation
tes·sel·la·tion

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

Princeton's WordNet

  1. tessellationnoun

    the careful juxtaposition of shapes in a pattern

    "a tessellation of hexagons"

  2. tessellationnoun

    the act of adorning with mosaic

Wiktionary

  1. tessellationnoun

    The property or fact of tessellating.

    Squares can be used for tessellation.

  2. tessellationnoun

    A tiling pattern with no gaps; the result of tessellating an area or plane.

    This is a tessellation of the plane with squares and regular octagons.

  3. tessellationnoun

    A less common name for polygon tessellation.

Wikipedia

  1. Tessellation

    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. tessellation

    A tessellation is the process or pattern resulting from the arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping. The pattern formed covers a flat surface, typically a plane, completely and perpetually. Tessellations are commonly seen in art, nature, and in mathematical contexts.

Webster Dictionary

  1. Tessellationnoun

    the act of tessellating; also, the mosaic work so formed

Wikidata

  1. Tessellation

    A Tessellation is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions. Some special kinds of tessellations include regular, with tiles all of the same shape; semi-regular, with tiles of more than one shape; and aperiodic tilings, which use tiles that cannot form a repeating pattern. The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. In computer graphics, the term "tessellation" is used to describe the organization of information needed to render to give the appearance of the surfaces of realistic three-dimensional objects. In the real world, a tessellation is a tiling made of physical 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 decorative tiling of the Alhambra palace. In the twentieth century, the work of M. C. Escher often made use of tessellations 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.

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Numerology

  1. Chaldean Numerology

    The numerical value of tessellation in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of tessellation in Pythagorean Numerology is: 7

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"tessellation." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/tessellation>.

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