Trigonometric chaos - classroom fun

 

Beauty in Math and Art Activate Same Brain Area

Beauty in Math and Art Activate Same Brain Area 
Elegant equations evoke the same activity in mathematicians' brains as gorgeous art or music 
Scientific American, Aug 14, 2014 
By Seth Newman

Why the brain sees maths as beauty (BBC News)

Mathematics: Why the brain sees maths as beauty 
By James Gallagher
Health and science reporter, BBC News
12 February 2014

"What makes the theory of relativity so acceptable to physicists in spite of its going against the principle of simplicity is its great mathematical beauty. This is a quality which cannot be defined, any more than beauty in art can be defined, but which people who study mathematics usually have no difficulty in appreciating." (P. A. M. Dirac)

Mandelbrot set, zoom, matlab

http://www.youtube.com/watch?v=EQGGnIyIoDM

Ion Barbu: matematică, poezie şi arte (un citat concis...)

Matematicile pun în joc puteri sufleteşti care nu sunt cu mult diferite de cele solicitate de poezie şi de arte.
(Ion Barbu; sursa - citatepedia.ro)

music and computation

Gottfried Wilhelm Leibniz's view on music ('the hidden arithmetical exercise of a mind unconscious that is calculating') has (at least) two straightforward interpretations. The first one is essentially reductionist (a 'fallacy of the misplaced concreteness' according to Alfred North Whitehead) and tends to suggest that music is nothing but computation (albeit in the background/unconscious, in a less obvious way). The second interpretation of the music-calculating connection runs somehow in the opposite direction, and tends to suggest that there is more to computation than meets the eye, an ethereal/ineffable/musical/higher-order quality. At this point, one might try to revisit the spirit of some traditional Gödelian themes...
Image source: http://en.wikipedia.org/wiki/File:FortranCardPROJ039.agr.jpg

Beauty in Mathematics

Michael Atiyah - Beauty in Mathematics

J.S. Bach - Crab Canon on a Möbius Strip

(YT link)