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Beauty in Math f rom a mathematician’s perspective. Vesta Coufal Gonzaga University Philosophy Club March 16, 2011. Fractal: Mandelbrot Set. http:// math.youngzones.org /Fractal%20webpages/ Julia_set.html. Escher: Poincare Disk Model of Hyperbolic Geometry.

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beauty in math f rom a mathematician s perspective

Beauty in Mathfrom a mathematician’s perspective

Vesta Coufal

Gonzaga University Philosophy Club

March 16, 2011

fractal mandelbrot set
Fractal: Mandelbrot Set

http://math.youngzones.org/Fractal%20webpages/Julia_set.html

escher poincare disk model of hyperbolic geometry
Escher: Poincare Disk Model of Hyperbolic Geometry

http://www.pxleyes.com/blog/2010/06/recursion-the-art-and-ideas-behind-m-c-eschers-drawings/

geometry pythagorean theorem
Geometry: Pythagorean Theorem

The Theorem:

a2+b2=c2

pythagorean theorem
Pythagorean Theorem

Proof:

http://en.wikipedia.org/wiki/File:Pythagorean_graphic_(2).PNG

analysis fundamental theorem of calculus
Analysis: Fundamental Theorem of Calculus

Definition: the Derivative of a function

Definition: the Integral is

the group e 8
The Group E8

http://en.wikipedia.org/wiki/File:E8PetrieFull.svg

escher sphere
Escher: Sphere

http://www.inkscapeforum.com/viewtopic.php?f=8&t=1411

penrose tiling
Penrose Tiling

http://wapedia.mobi/en/Penrose_tiling

fractal julia set
Fractal: Julia Set

http://math.youngzones.org/Fractal%20webpages/Julia_set.html