10 results found for: “tile_spacers”.

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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...

Last Update: 2024-03-23T05:53:38Z Word Count : 6037

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Space Shuttle thermal protection system

loss of Space Shuttle Columbia.) The TPS was a system of different protection types, not just silica tiles. They are in two basic categories: tile TPS and...

Last Update: 2023-12-06T13:42:22Z Word Count : 4074

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Einstein problem

anisohedral tiles all tile space periodically. In 1988, Peter Schmitt discovered a single aperiodic prototile in three-dimensional Euclidean space. While no...

Last Update: 2024-01-23T22:37:21Z Word Count : 1128

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Tile

In another sense, a tile is a construction tile or similar object, such as rectangular counters used in playing games (see tile-based game). The word...

Last Update: 2024-03-26T10:47:21Z Word Count : 3989

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Shim (spacer)

for better fit, or provide a level surface. Shims may also be used as spacers to fill gaps between parts subject to wear. Many materials make suitable...

Last Update: 2022-12-29T12:53:33Z Word Count : 524

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Tetrahedron

that can tile space as the tetrahedral-octahedral honeycomb. However, several irregular tetrahedra are known, of which copies can tile space, for instance...

Last Update: 2024-03-21T12:26:32Z Word Count : 8107

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Zonohedron

associated to it. First we consider the space-tiling property. The zonotope Z{\displaystyle Z} is said to tile Rd{\displaystyle \mathbb {R} ^{d}} if there...

Last Update: 2024-03-05T13:34:49Z Word Count : 2375

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Mahjong tiles

Mahjong tiles (Chinese: 麻將牌 or 麻雀牌; pinyin: májiàngpái; Cantonese Jyutping: maa4zoek3paai2; Japanese: 麻雀牌; rōmaji: mājanpai) are tiles of Chinese origin...

Last Update: 2024-02-27T00:22:07Z Word Count : 4514

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French drain

French drain (also called a weeping tile, trench drain, filter drain, blind drain, rubble drain, rock drain, drain tile, perimeter drain, land drain, French...

Last Update: 2023-10-31T13:27:10Z Word Count : 1279

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Dehn invariant

("dissected") into another, and whether a polyhedron or its dissections can tile space. It is named after Max Dehn, who used it to solve Hilbert's third problem...

Last Update: 2023-09-19T15:02:42Z Word Count : 5413

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Main result

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 (an aperiodic set of prototiles). 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.


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