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June 2009
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quaternions

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Mathematician and physicist John Baez declares himself fascinated by exceptions in mathematics. This interest has led him to study the octonions, and, through them, to find out more about the origins of complex numbers and quaternions. In the first of two articles, he talks about connections between algebra and geometry, and the importance of lateral thinking in mathematics.

Tags: complex number : Hamilton : quaternions


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Computer generated movies and electronic games: Joan Lasenby tells us about the mathematics and engineering behind them.

Tags: computer simulation : vector : geometry : mathematics in films : computer science : computer gaming : computer animation : computer graphics : complex number : quaternions


Feature icon

Mathematician and physicist John Baez declares himself fascinated by exceptions in mathematics. This interest has led him to study the octonions, and, through them, to find out more about the origins of complex numbers and quaternions. In the second of two articles, he talks about the characters of the different dimensions, beauty and utility in mathematics, and just why he likes dimension 8 so much.

Tags: complex number : Hamilton : octonions : mathematical thinking : quaternions