Marcus du Sautoy explores the classic problem of the bridges of Konigsberg: is it possible to cross its seven bridges without crossing any of them twice? Euler solved this problem by looking at it as a topological problem. It is how they are connected, rather than the distances between them, that matters. Poincare took topology and made it a very important area of Maths, and the clip explores how some shapes, like a bagel and a football, are topologically different.
- This clip is from:
- To Infinity and Beyond
- First broadcast:
- 27 October 2008
A great introduction to problem solving enrichment tasks and processes looking at shape and space. There is also an opportuntiy for students to research mathematicians, particularly Poincare.