© t madas. a pattern of shapes which fit together without leaving any gaps or overlapping a way of...

© T Madas

© T Madas

A pattern of shapes which fit together without leaving any gaps or overlapping

A way of completely covering a plane with shapes which do not overlap.

W h a t i s a t e s s e l l a t i

o n?

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A regular tessellation uses identical regular polygons to fill the plane.

There are only 3 regular tessellations, using squares, equilateral triangles or regular hexagons.

What is a Regular Tessellation ?

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Archimedean Tessellationsor semi-regular tessellations

These are tessellations using only regular polygons, with two or more different polygons around each vertex with each vertex having the same pattern of polygons round it.

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There are 8 Archimedean Tessellations:

triangles and squares

triangles and hexagons

triangles and dodecagons

squares, hexagons and dodecagons

squares and octagons

triangles, squares and hexagons

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triangles, squares and hexagons

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triangles, squares and hexagons

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This tessellation is not regular or semi-regular.Can you explain why?

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Tessellations can be made using all sorts of shapes

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Tessellations can be made using all sorts of shapes

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This is where Mathematics meets Art

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Maurits Cornelius Escher1898-1972

The most famous mathematical artist is the Dutchman, Escher

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another tessellating pattern

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