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# LOGO Challenge - Triangles-squares-stars

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Age 11 to 16

Challenge Level

- Problem
- Teachers' Resources

We have been sent a dozen different tilings of the plane which incorporate STARS!

Below are three uniform tilings which use regular polygons and a 'star polygon'.

N.B. Every corner of a tile is a vertex of the tiling.

You might like to produce an elegant program to replicate these.

Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the cube?

P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?

The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...