You may also like

problem icon

All in the Mind

Imagine you are suspending a cube from one vertex (corner) and allowing it to hang freely. Now imagine you are lowering it into water until it is exactly half submerged. What shape does the surface of the water make around the cube?

problem icon

Just Rolling Round

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?

problem icon

Coke Machine

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

LOGO Challenge - Triangles-squares-stars

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

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.