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# Geometry

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by

## Casey Hines

on 5 October 2012

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#### Transcript of Geometry

Geometry In Nature And how does it involve nature? What is a fractal? Here are some examples... A fractal is a curve or geometric figure, each part of which has the same statistical character as the whole. Lightning Fractal Fractals are all around you, Broccoli Fractal I bet you never knew you could eat a fractal. photo credit Nasa / Goddard Space Flight Center / Reto Stöckli This is a cloud spiral fractal. This picture was taken by NASA. Pretty crazy right? Plants grow in fractals to evenly distribute nutrients to their leaves Geometry in Plants Octopus Tentacles These honey combs form a natural tessellation Romanesco Sources http://bstillman.weebly.com/geometry-in-nature.html
http://theanimalblog.tumblr.com/post/17940031225/octopus-tentacles-by-mr-andrew-murray
http://phandroid.com/2011/01/03/rumor-honeycomb-to-require-dual-core-processor-hi-def-resolution/
http://en.wikipedia.org/wiki/Moon_ring
http://edtech2.boisestate.edu/meganhoopesmyers/502/virtualtour/nature.html
http://www.mathsisfun.com/numbers/golden-ratio.html
http://www.goldennumber.net/nature/ And what does it have to do with nature? What Is a Tessellation? A tessellation is... A pattern made of identical shapes:
* the shapes must fit together without any gaps
* the shapes should not overlap Hexagons are repeated Turtle Tessellation Composed of hexagons, pentagons, and quadrilaterals Plant Tessellation Fern Fractal Fractal Symmetry Snake Skin Tessellation Hurricane Irene Galactic Golden Ratio Golden Ratio ~1.618
"Most Irrational"
Examples: dolphin, moth, penguin, seashell, angel fish, tiger, ant, and here are some others... Casey Hines
2nd Period Davis
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