Friday, 21 November 2014

Euler Week

This week we've been investigating polyhedra, making them, and counting their vertices, edges and faces:
Mr Euler had a formula. And it works!
We've also been investigating latin squares and Euler squares:
 In a latin square, each row and column has one of each colour:
We continued using Word documents:
 In Euler squares, you have to deal with the colour AND the shape:
Then, to finish off the week, we looked at graphs, map-colouring annd Eulerian paths, using Joel David Hamkins' fantastic booklet. We still have a bit more to do on this. On the first pages the idea is to find the minimum number of colours to colour the "graph" so that no connected vertices are the same colour, like this:
Here's some of our work in the booklet:


  1. Graeco Latin Squares are also referred to as Orthogonal Squares, in that each cell is comprised of two sets of symbols, each in a different Latin Square arrangement. Read more about it on my blog: