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## 'Schlafli Tessellations' printed from http://nrich.maths.org/

Although the three regular tessellation (using squares,
triangles and hexagons) are well known, they do pose a demanding
challenge in terms of 'elegant' LOGO procedures.

This problem considers the eight semi-regular tessellations,
which geometrically are more stimulating and are shown below, along
with their respective Schlafli symbols.

Look carefully at each diagram in turn. What is the meaning of
the symbols?

The symbols are used in two and in three dimensions in
classifying the regular and semi-regular solids. You can see an
account of this in this
NRICH article by Warwick Evans.

Can you construct some elegant procedures to replicate these
images?