Vesta Coufal Gonzaga University Philosophy Club March 16 2011 Fractal Mandelbrot Set http mathyoungzonesorg Fractal webpages Juliasethtml Escher Poincare Disk Model of Hyperbolic Geometry ID: 631639
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Slide1
Beauty in Mathfrom a mathematician’s perspective
Vesta Coufal
Gonzaga University Philosophy Club
March 16, 2011Slide2
Fractal: Mandelbrot Set
http://
math.youngzones.org
/Fractal%20webpages/
Julia_set.htmlSlide3
Escher: Poincare Disk Model of Hyperbolic Geometry
http://
www.pxleyes.com
/blog/2010/06/recursion-the-art-and-ideas-behind-m-c-
eschers
-drawings/Slide4
Euler’s IdentitySlide5
Geometry: Pythagorean Theorem
The Theorem:
a
2
+b
2
=c
2Slide6
Pythagorean Theorem
Proof:
http://
en.wikipedia.org
/wiki/
File:Pythagorean_graphic
_(2).PNGSlide7
Analysis: Fundamental Theorem of Calculus
Definition: the
Derivative
of a function
Definition: the
Integral
is Slide8
Fundamental Theorem of Calculus
The Theorem:Slide9
The Group E8
http://
en.wikipedia.org
/wiki/File:E8PetrieFull.svgSlide10
Escher: Sphere
http://
www.inkscapeforum.com
/
viewtopic.php?f
=8&t=1411Slide11
Penrose Tiling
http://
wapedia.mobi
/en/
Penrose_tilingSlide12
Fractal: Julia Set
http://
math.youngzones.org
/Fractal%20webpages/
Julia_set.html