Ushakov Igor. Magic of Geometry. Tales about Scientific Insights. V3

San Diego, 2012. — 113 p. — (Tales and Stories about Mathematical & Scientific Insights).The Magic of Geometry shows how the common problems of measuring land led to the development of mathematical discipline. You
will know about unusual and impossible figures. You will have a pleasure to look at fantastic fractals.The magic of geometry
New geometry
Two-dimensional line?!..
Snowflakes, napkins, pyramids
Fractal geometry
Chaos
Self-similarity
Fractals, fractals, everywhere only fractals...
Unusual and impossible figures
Moebius strip
Let us play with moebius strip!
Moebius «frames»
Klein bottle
Infinitely enclosed klein «mug»
Impossible figures
Mathematics and fine art
Fibonacci numbers
Golden ratio
History of the Golden ratio.
Five-point star and the golden ratio
Golden ratio in nature
Golden ratio in art
Pythagorean geometry
Pythagoras’ theorem
The proof of the Pythagoras’ theorem
Pantheon
Pythagoras of Samos
Leonardo Fibonacci
Fra Luca Bartolomeo de Pacioli
Leonardo da Vinci
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