We will take a brief look at a range of applications of very simple mathematics to a wide spectrum of the arts:
• We begin with the role of some simple patterns, identify Dali's inspirations from higher-dimensional geometry, see how the study of complex systems sheds light on what we like, and describe the possible role of fractals in defining abstract expressionist art and identifying fakes.
• Three simple applications of Pythagoras's theorem reveal the logic behind the creation of the Tunnel of Eupalinos on Samos in 520BC, show the best place from which to view a raised statue, and determine how far it is to the horizon.
• Simple geometry lies behind the layout of medieval manuscripts and the elegant utility of modern paper-sizing.
• We will see how the construction of smooth curves play a role in architecture, the aesthetic design of sports cars, safe motorway junctions and roller coasters, and led to the creation of Henry Moore's beautiful stringed sculptures.
• Finally, we show how the famous probability theorist Andrei Markov pioneered the mathematical textual analysis of poetry, just over a century ago.
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