PythagorasDragonLines.jpg

from a Google Image Search: Pythagoras


The images below are computer-generated using the Basic Geometry Shapes demonstrating the Pythagorean Theorem:

A2 + B2 = C2

in English: The sum of the areas of the two squares on the legs of a right triangle = the area of the square on the hypotenuse.

A2 + B2 = C2

Combined with...

the Visual Graphics of repetitive mathematical calculations -- that only a computer can perform... in "quick-time"...

using the Mathematics, that is, the Geometry of Fractals: Shapes that are repeated in a "self-similar" decreasing size pattern

called "Iterations"

creating extraordinary images that are a different kind of Geometry from the historical / traditional Euclidean Geometry...

called Fractal Geometry, invented by the 20th Century Mathematician: Benoit Mandelbrot.

http://en.wikipedia.org/wiki/Mandelbrot_set



PythagorasDragonLines.jpgPythagorasTree_1000_copy.jpg

geomeTree3.jpg