VIC112Y1 Lecture 7: Lecture 6 and 7
10 Mar 2017
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Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, etc. : patterns seen within fibonacci sequence, biology and zoologists find this pattern in nature, e. g. Daisies have 21, 34, 55, or 89 petals: divide numbers in fibonacci sequence, 2/3=0. 6667, 3/5=0. 6, 5/8=0. 625, 8/13=0. 6154-> approaches golden ratio (0. 61) 1963- mathematicians, biologists, psychologists founded society to study fibonacci sequence. Serendipity: unexpected discovery when you"re not looking for it, e. g. Bachet: published a best-selling book of puzzles in early 1600s, classified puzzles in his book, e. g. river-crossing puzzles, number tricks, etc. Introduced as amulet: originally came from china, use numbers 1-9, every row, column, and diagonal must add up to a given sum->15. Magic squares: one of the first to study magic squares: leonard euler, discovered 88 ways to solve 4x4 magic square, 4x4 magic square made by albrecht durer (1400s) Leonard euler: made up 1 puzzle: konigsberg bridges (cross over each bridge once)
