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'LOGO Challenge - Tilings' printed from http://nrich.maths.org/

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NRICH members have enquired about more ideas for particular tilings of the plane, namely those where - NOT all corners of the tile are vertices of the tiling.

Three such examples of this type of tiling are reproduced here.

Again, you might like to produce an elegant program to replicate one or all of these.

This develops some of the ideas in LOGO Challenge Triangles-squares-stars