When a boy in London, I composed music and was an accomplished pianist at the age of 10...and felt that mathematics and music were intimately related.
I studied mathematics at Trinity College, Cambridge, and earned both a BA and my doctorate, followed by a fellowship at Princeton University where I worked with Hermann Weyl, Oswald Veblen, and Solomon Lefschetz.
Back at Trinity, I attended Ludwig Wittgenstein's seminars on the philosophy of mathematics....then off to Princeton again before setting in at the University of Toronto for the next 60 years,
Eventually I met M.C. Escher, and my work on geometric figures helped inspire some of Escher's works, particularly the Circle Limit series based on hyperbolic tessellations.
Supposedly, my geometrical ideas also inspired some of the innovations of the inventive Buckminster Fuller.
Overall, I published twelve books, primarily involving my work on regular polytopes and higher-dimensional geometries....plus championed the classical approach to geometry (rather than a back-door approach using algebra).
Now regarded as one of the greatest geometers of the 20th century, I was elected a Fellow of the Royal Society of Canada, a Fellow of the Royal Society of England, a Foreign Member of the American Academy of Arts and Sciences....plus received the Sylvester Medal from the Royal Society and was made a Companion of the Order of Canada.
Harold Scott MacDonald "Donald" Coxeter, (1907 – 2003)