Geometers study shapes and how they transform into one other. Musicians create shapes and transform them. We illustrate with some examples that are interesting to both geometers and musicians.
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Professor of Mathematics at Queen Mary, University of London from 1987 to 2006. His particular interests lie in model theory and he is the author of numerous books on logic.
He attended New College, Oxford, where he received degrees in both Literae Humaniores and (Christianic) Theology. In 1970 he was awarded a doctorate for a thesis in Logic. He lectured in both Philosophy and Mathematics at Bedford College, University of London. He has held visiting appointments in the department of philosophy at the University of California and in the department of mathematics at University of Colorado.
He was President of the British Logic Colloquium and of the European Association for Logic, Language and Information. In 2009 he was elected a Fellow of the British Academy.
Art concerned with combining vocal or instrumental sounds for beauty of form or emotional expression, usually according to cultural standards of rhythm, melody, and, in most Western music, harmony. Music most often implies sounds with distinct pitches that are arranged into melodies and organized into patterns of rhythm and metre. The melody will usually be in a certain key or mode, and in Western music it will often suggest harmony that may be made explicit as accompanying chords or counterpoint. Music is an art that, in one guise or another, permeates every human society. It is used for such varied social purposes as ritual, worship, coordination of movement, communication, and entertainment.
The Golden Cockerel (Золотой Петушок) an opera in three acts (with short prologue and even shorter epilogue) by Nikolay Rimsky-Korsakov. The libretto was written by Vladimir Belsky and is based on Alexander Pushkin's 1834 poem The Tale of the Golden Cockerel (which is based on two chapters of Tales of the Alhambra by Washington Irving). The opera was completed in 1907, and received its premiere in Moscow in 1909, thus after the composer's death. Previously, the opera was commonly performed in French under the still recognized title Le Coq d'Or.
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