What common points can we observe on these images? Do we often find this in architecture?

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Presentation transcript:

What common points can we observe on these images? Do we often find this in architecture?

ARCHITECTURE Session 1 : TESSELLATION A Tessellation (or Tiling) is when you cover a surface with a pattern of flat shapes so that there are no overlaps or gaps. overlap = cross each other gap = openning

Rectangles Octagons and Squares Different Pentagons

REGULAR TESSELLATIONS A regular tessellation is a pattern made by repeating a regular polygon. List the regular polygons and represent the associate tessellation. How many regular tessellations are there? Why?

The angle sum of a polygon with n sides is :. 180 The angle sum of a polygon with n sides is : 180*(n-2) This means that each interior angle of a polygon measure

The angle sum of the interior angles of the regular polygons meeting at a point add up to 360 degrees

Semi-regular Tessellations A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same! There are only 8 semi-regular tessellations. To name a tessellation, go around a vertex and write down how many sides each polygon has, in order ... like "3.12.12". And always start at the polygon with the least number of sides, so "3.12.12", not "12.3.12"

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Other Tessellations There are also "demiregular" tessellations, but mathematicians disagree on what they actually are! And some people allow curved shapes (not just polygons) so you can have tessellations like these: