20 results found for: “tile_spacers”.

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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: 2024-04-25T12:53:10Z Word Count : 6042 Synonim Tessellation

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: 2024-04-27T08:54:44Z Word Count : 4074 Synonim Space Shuttle thermal protection system

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: 2024-05-18T09:34:30Z Word Count : 1128 Synonim Einstein problem


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

Last Update: 2024-06-16T20:22:51Z Word Count : 8715 Synonim Tetrahedron

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 Synonim Shim (spacer)


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

Last Update: 2024-06-09T05:58:20Z Word Count : 2511 Synonim Zonohedron


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: 2024-06-19T08:23:58Z Word Count : 4047 Synonim Tile

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: 2024-06-13T04:45:32Z Word Count : 4543 Synonim Mahjong tiles

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: 2024-06-03T07:41:06Z Word Count : 5652 Synonim Dehn invariant

Penrose tiling

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...

Last Update: 2024-06-05T06:44:44Z Word Count : 5765 Synonim Penrose tiling

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: 2024-05-12T04:16:18Z Word Count : 1287 Synonim French drain

Tiled rendering

Tiled rendering is the process of subdividing a computer graphics image by a regular grid in optical space and rendering each section of the grid, or tile...

Last Update: 2024-06-22T04:59:57Z Word Count : 1805 Synonim Tiled rendering

Weaire–Phelan structure

found that this structure was a better solution of the Kelvin problem of tiling space by equal volume cells of minimum surface area than the previous best-known...

Last Update: 2024-06-15T03:05:32Z Word Count : 1577 Synonim Weaire–Phelan structure

Toynbee tiles

The Toynbee tiles, also called Toynbee plaques, are messages of unknown origin found embedded in asphalt of streets in about two dozen major cities in...

Last Update: 2024-06-03T20:29:29Z Word Count : 2853 Synonim Toynbee tiles

Guastavino tile

The Guastavino tile arch system is a version of Catalan vault introduced to the United States in 1885 by Spanish architect and builder Rafael Guastavino...

Last Update: 2024-03-18T15:47:23Z Word Count : 1123 Synonim Guastavino tile

Square tiling honeycomb

In the geometry of hyperbolic 3-space, the square tiling honeycomb is one of 11 paracompact regular honeycombs. It is called paracompact because it has...

Last Update: 2024-01-28T18:15:06Z Word Count : 898 Synonim Square tiling honeycomb

Hexagonal tiling

In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex...

Last Update: 2024-03-08T23:15:16Z Word Count : 1286 Synonim Hexagonal tiling

Triangular tiling

the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane, and is the only such tiling where the constituent...

Last Update: 2024-03-08T16:55:59Z Word Count : 858 Synonim Triangular tiling

Square tiling

In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane. It has Schläfli symbol of {4,4}, meaning...

Last Update: 2024-03-23T19:23:35Z Word Count : 619 Synonim Square tiling

Tile drainage

Tile drainage is a form of agricultural drainage system that removes excess sub-surface water from fields to allow sufficient air space within the soil...

Last Update: 2024-03-30T23:03:26Z Word Count : 3589 Synonim Tile drainage

Main result


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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