Roger Penrose — English Physicist born on August 08, 1931,

Sir Roger Penrose OM FRS is an English mathematical physicist, mathematician and philosopher of science. He is the Emeritus Rouse Ball Professor of Mathematics at the Mathematical Institute of the University of Oxford, as well as an Emeritus Fellow of Wadham College... (wikipedia)

The idea is if you use those two shapes and try to colour the plane with them so the colours match, then the only way that you can do this is to produce a pattern which never repeats itself.
People think of these eureka moments and my feeling is that they tend to be little things, a little realisation and then a little realisation built on that.
And these little things may not seem like much but after a while they take you off on a direction where you may be a long way off from what other people have been thinking about.
But I think it is a serious issue to wonder about the other platonic absolutes of say beauty and morality.
This book is about physics and its about physics and its relationship with mathematics and how they seem to be intimately related and to what extent can you explore this relationship and trust it.