T Madas W h a t i s Slides: 45 Download presentation © T Madas W h a t i s a t e s s e l l a t i o n? 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. © T Madas What is a Regular Tessellation ? A regular tessellation uses identical regular polygons to fill the plane. There are only 3 regular tessellations, using squares, equilateral triangles or regular hexagons. © T Madas Archimedean Tessellations or 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. © T Madas There are 8 Archimedean Tessellations: triangles and squares triangles, squares and hexagons squares and octagons triangles and hexagons triangles and dodecagons squares, hexagons and dodecagons © T Madas triangles, squares and hexagons © T Madas triangles, squares and hexagons © T Madas © T Madas This tessellation is not regular or semi-regular. Can you explain why? © T Madas © T Madas © T Madas Tessellations can be made using all sorts of shapes © T Madas Tessellations can be made using all sorts of shapes © T Madas This is where Mathematics meets Art © T Madas The most famous mathematical artist is the Dutchman, Escher Maurits Cornelius Escher 1898 -1972 © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas another tessellating pattern © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas © T Madas