Golden Mean 11

Page 1: Intro

Page 2: Euclid

Page 3: Repeating geometry

Page 4: Golden Rectangle

Page 5: Golden rectangles entangled

Page 6: Golden section construction

Page 7: Golden figures

Page 8: Golden mean in nature

Page 9: Golden mean in architecture

Page 10: Golden mean in art

Page 11: Golden mean and Fibonacci Numbers

Golden Mean in Art and Nature

Fibonacci Number's

Leonardo Pisano (Leonardo of Pisa, son of Bonacci) Born: 1170 in (probably) Pisa; Died: 1250 in (possibly) Pisa. A problem in the third section of Liber abaci led to the introduction of the Fibonacci numbers and the Fibonacci sequence for which Fibonacci is best remembered today:

A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive?

The resulting sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... (Fibonacci omitted the first term in Liber abaci). This sequence, in which each number is the sum of the two preceding numbers, has proved extremely fruitful and appears in many different areas of mathematics and science. The Fibonacci Quarterly is a modern journal devoted to studying mathematics related to this sequence. (source)

Fibonacci

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