Kai

Quote

"Mathematics is like oxygen. If it is there, you do not notice it. If it would not be there, you realize that you cannot do without."

- Lex Schrijver (via curiosamathematica)

(via mathprofessorquotes)

Source: curiosamathematica
Photo Set

mathmajik:

Artist Leo Villareal - A study in Cellular Automata

Back in the 1970′s the mathematician John Conway first began exploring cellular automata, a fancy name for patterns that were generated by fairly simple mathematical rules applied over and over and over and over and over…. In Conway’s game, cells on a grid were occupied in whatever initial pattern you liked, and the rules for the next step stated roughly that
if too many or too few cells around a space were also occupied (over- or under-crowding), then the cell was emptied or left empty, and if a space was not over- or under-crowded, then it would become or stay occupied.

After Martin Gardner published an article in Scientific American about it the game became known as Conway’s Game of Life. Why that title? Because no matter what initial pattern you started with the patterns that emerged after a few rounds were sometimes eerily life-like. You could swear that you were watching a small society of ants or other small creatures moving around in patterns that you’d expect would require far more sophisticated rules than the actual ones used.

If you Google Conway’s Game of Life you’ll see many, many programs to run it as well as catalogues of patterns that emerge and persist and change, and this idea of “emergent behavior”—simple rules giving rise to sophisticated and nearly-impossible-to-predict patterns—has become an important theme in many parts of science. The artist Leo Villareal has now brought the idea to art. Villareal’s light sculptures are like a souped-up and beautifully tricked out Life. Made up of small LED lights operated by simple rules, Villareal has created art that has been featured in museums and galleries on the East Coast, West Coast, and other places in between. The reviews, of course, don’t really do this kind of art justice, but there are a number of videos (this, this, and this to start) available on YouTube that give some sense of Villareal’s work.

Source: blogs.shu.edu

Source: mathmajik
Photo Set

spring-of-mathematics:

Fractal Patterns:

  1. Pitagoras Tree - Image: Fractal Tree by Ankur Pawar &  30/60/90 tree by Matt Cavanagh.
  2. Sierpinski Triangle - Image: Sierpinski Pattern by Matt Cavanagh.
  3. Recursive Box by Erik Wrebholt.

(via mathmajik)

Source: spring-of-mathematics
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