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Tessellations

Source: Brother A H Malik and Wikipedia

The tessellation that started it all - the beehive. Those little guys love their hexagons

What is a Tessellation? Tessellation is the process of creating a two-dimensional plane using

the repetition of a geometric shape with no overlaps and no gaps. Generalizations to higher dimensions are also possible. Tessellations frequently appeared in the art of  M. C. Escher , whowas inspired by studying the Moorish use of symmetry in the Alhambra tiles during a visit in 1922.Tessellations are seen throughout art history, from ancient architecture to modern art.

1. These 14th century Moorish tiles at Alhambra originally inspired Escher's forays

into tiling.

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Ceramic Tile Tessellations in Marrakech

2. M.C. Escher took tiling and kicked it up several notches, creating optical illusions

using non-geometric patterns.

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3. Tessellated pavement is an extremely rare natural occurrence. This example,

found on the Tasman Peninsula, Tasmania, was formed when flat siltstone was

cracked by changes in the Earth's crust. Through the natural process of erosion, the"pavement" has taken on a tiled appearance.

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4. This one, created by Bruce Bilney, is a guilty pleasure entry. It's sort of neat (from

an information perspective) that, with one glance, we can see a kangaroo as well asits country/continent of origin.

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5. This bunny is a great example of using tiling for computer rendering. Starting from

the tail and moving toward the head, it's clear that, as the surface is subjected to

increasingly complex tessellation, the image becomes richer and more detailed.

6. Nikolas Schiller is an interesting fellow - Wikipedia describes him as "a blogger,

prominent digital map artist, vegetarian, and civil rights activist" - who morphs aerialphotographs into kaleidoscopic or tiled art. He did the same with QR codes.

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7. Geodesic domes comprised of nearly equilateral triangles are generally considered

to be solid examples of (semi-regular) tessellations.

See http://anthony.liekens.net/index.php/Misc/GeodesicDome for dome picture

and a Great Student Science Project

With practically unlimited applications

 

 AHMalik  has added

 

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and

 

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 plus urban quilts

 

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and production of Pakistan - the football ...

 

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You can add you own just by looking around and observing

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These rectangular bricks are connected in a tessellation which, considered as an edge-to-edge tiling, is

topologically identical to a hexagonal tiling; each hexagon is flattened into a rectangle whose long edges are

divided in two by the neighboring bricks.