Wednesday, 17 June 2015

Stationary wave: Fourier series in Radley churchyard


The hedge in Radley churchyard is a wave that isn't going anywhere. If you didn't know, Radley is a village near Oxford, The wave is a type called a saw-tooth wave. The mathematician Fourier showed that all complicated wave shapes like this could be made by adding together rounded sine waves of different frequencies. This wave has a particularly vicious equation  http://mathworld.wolfram.com/FourierSeriesSawtoothWave.html but this page does have a picture showing how the rounded waves make up the saw-tooth.