God may not play dice with the Universe, but something strange is going on with the prime numbers [Paul Erdös, paraphrasing Albert Einstein]
The prime numbers are the atoms of the natural number system. We recall that a prime number is a natural number greater than one that cannot be broken into smaller factors. Every natural number greater than one can be expressed in a unique way as a product of primes. Continue reading ‘The Prime Number Theorem’
The article in this week’s That’s Maths column in the Irish Times ( TM039 ) is about Oliver Byrne’s amazing technicolor Elements of Euclid, recently re-published by Taschen.
Continue reading ‘Euclid in Technicolor’
The article in this week’s That’s Maths column in the Irish Times ( TM038 ) is about Rubik’s Cube and the Group Theory that underlies its solution.
Rubik’s Cube, invented in 1974 by Hungarian professor of architecture Ernő Rubik.
Continue reading ‘Speed Cubing & Group Theory’
A French curve is a template, normally plastic, used for manually drawing smooth curves. These simple drafting instruments provided innocent if puerile merriment to generations of engineering students, but they have now been rendered obsolete by computer aided design (CAD) packages, which enable us to construct complicated curves and surfaces using mathematical functions called Bézier splines.
Continue reading ‘French Curves and Bézier Splines’