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: 2022-11-23T02:02:29Z Word Count : 5850 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: 2022-11-13T16:59:36Z Word Count : 4057 Synonim Space Shuttle thermal protection system


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: 2022-11-07T21:28:01Z Word Count : 3545 Synonim Tile


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: 2022-11-23T03:47:51Z Word Count : 8526 Synonim Tetrahedron


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: 2022-05-31T16:14:48Z Word Count : 2389 Synonim Zonohedron

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: 2022-09-30T19:23:56Z Word Count : 4353 Synonim Mahjong tiles

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: 2022-11-08T04:20:51Z Word Count : 524 Synonim Shim (spacer)

Dropped ceiling

ceiling tiles and is a staple of modern construction and architecture in both residential and commercial applications. Dropped ceilings and ceiling tiles were...

Last Update: 2022-10-04T02:27:14Z Word Count : 3106 Synonim Dropped ceiling

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: 2022-11-07T07:47:11Z Word Count : 5350 Synonim Dehn invariant

Penrose tiling

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 aperiodic...

Last Update: 2022-10-28T19:46:19Z Word Count : 5755 Synonim Penrose tiling

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: 2022-11-20T19:26:59Z Word Count : 2951 Synonim Toynbee tiles

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: 2022-03-12T18:15:51Z Word Count : 1704 Synonim Tiled rendering

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: 2022-11-01T11:38:20Z Word Count : 3585 Synonim Tile drainage

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: 2022-11-12T19:36:42Z Word Count : 1107 Synonim Guastavino tile

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: 2022-09-05T16:10:14Z Word Count : 1557 Synonim Weaire–Phelan structure

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: 2022-05-28T06:02:50Z Word Count : 858 Synonim Triangular tiling

Rhombitrihexagonal tiling

In geometry, the rhombitrihexagonal tiling is a semiregular tiling of the Euclidean plane. There are one triangle, two squares, and one hexagon on each...

Last Update: 2022-08-21T08:04:55Z Word Count : 931 Synonim Rhombitrihexagonal tiling

Tile-matching video game

A tile-matching video game is a type of puzzle video game where the player manipulates tiles in order to make them disappear according to a matching criterion...

Last Update: 2022-11-07T06:22:21Z Word Count : 2715 Synonim Tile-matching video game

Wigner–Seitz cell

There are only five topologically distinct polyhedra which tile three-dimensional space, ℝ3. These are referred to as the parallelohedra. They are the...

Last Update: 2022-10-18T13:49:45Z Word Count : 1487 Synonim Wigner–Seitz cell

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: 2022-05-28T06:03:12Z Word Count : 1287 Synonim Hexagonal tiling

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. 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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