problem

### Painting by Numbers

How many different colours of paint would be needed to paint these
pictures by numbers?

problem
###
Painting by Numbers

How many different colours of paint would be needed to paint these
pictures by numbers?

article
###
Euler's Formula

Some simple ideas about graph theory with a discussion of a proof
of Euler's formula relating the numbers of vertces, edges and faces
of a graph.

article
###
Impossible Polyhedra

Is it possible to make an irregular polyhedron using only polygons of, say, six, seven and eight sides? The answer (rather surprisingly) is 'no', but how do we prove a statement like this?

article
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Euler's Formula and Topology

Here is a proof of Euler's formula in the plane and on a sphere together with projects to explore cases of the formula for a polygon with holes, for the torus and other solids with holes and the relationship between Euler's formula and angle deficiency of polyhedra.