Tessellation Nanadebfredron

8/8/2019 Tessellation Nanadebfredron

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TESSELLATIONBy:

Frderic Ronald

Nana Deb


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Question 1


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the pattern resulting from thearrangement of regular polygons to

cover a plane without any interstices(gaps) or overlapping.The patterns are usually repeating


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Regular Tessellations Made up entirely of congruent regular polygons all

meeting vertex to vertex.

There are only three regular tessellations whichuse a network of equilateral triangles, squares andhexagons.


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S emi-regular Tessellations Made up with two or more types of regular

polygon which are fitted together in such a waythat the same polygons in the same cyclic ordersurround every vertex.

There are eight semi-regular tessellations whichcomprise different combinations of equilateraltriangles, squares, hexagons, octagons anddodecagons.


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N on-regular Tessellations those in which there is no restriction on the order

of the polygons around vertices. There is an infinite number of such tessellations. most patterns made up with one or more

polyiamonds (A plane figure formed by joining a finite number of equilateral triangles along their sides) are not strictly tessellations because thecomponent polyiamonds are not regular polygons.

The patterns might more accurately be calledmosaics or tiling patterns.


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Tessellations can be created by performing one or more of three basic operations, translation , rotation and reflection ,

on a polyiamond (see Figure).


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Question 2


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D efinition of tessellations

The action or art of tessellating; tessellated

condition; a piece of tessellated work.An arrangement or close fitting together of minuteparts or distinct colours.

D efinition of tessellatedC omposed of small blocks of variously colouredmaterial arranged to form a pattern; formed of or

ornamented with mosaic work.C ombined or arranged so as to form a mosaic.C onsisting of or arranged in small cubes or squares;chequered, reticulated.


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Tessellations in MathematicsShapes which tessellate cover the plane without gaps and

without overlapping.Can only be 3 regular Tessellations on the Euclidean plane (2Dplane) made from copies of a single regular polygonmeeting at each vertex.

These are of equilateral triangles, squares or regular hexagon.

There are only three because the inside angles of the polygonmust be a factor of 360 so that the polygons can line up at

the points leaving no gaps.

The Three Regular Tessellations on theEuclidean Plane


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Tessellations in ArtO riginal word tessellation comes from its use in art

From Ancient Greek a Tessera or Tessella the small dice sized piece of stone usedin mosaics. Therefore, as the dictionary suggests, the original tessellations were mosaics.

First used in the form of mosaics about 3000 B C in Ancient Mesopotamia.

The tessellation in mosaics pertains to the actual structure of the arrangement of the small pieces of stone or tile, which is the regular tessellation of squares.

M. C . Escher (1898-1972) O ne of the greatest practitioners of the use of tessellations in art

The Dutch graphic artist

Worked extensively on tessellations although he ismore famous for his drawings of the impossible.

Many of his works using tessellations consist not of asingle repeated image, but of a smooth metamorphosingof one image into another.


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Thank You

Tessellation Nanadebfredron

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