3D Sierpinski Gasket

papercrane — Fri, 29 Feb 2008 01:53:33 +0000

Let’s keep the ball rolling with another fractal creation. I’ve been playing with Papervision3D lately due to its use in a recent site I worked on and the San Francisco Papervision3D class I attended a few weekends ago. This latest is a verson of the sierpinski gasket which follows the same ideas as the last one I made but using 4 points to make a tetrahedron in 3 space. The same symmetry is applied but 4-fold and the lines are drawn but soon after removed as they quickly overshadow the pixels and slow the rendering down quite a bit once there are more than a few. Also notice that the pixels have some nice effects applied to them, making a kind fo vortex. Thanks to Andy Zupko for the Effects branch of Papervision3D and his part in the class I attended.

Sierpinski Gasket (in Flex)

papercrane — Thu, 28 Feb 2008 15:57:47 +0000

While on the plane back from Indianappolis I had two new ideas for generation of a Sierpinski Gasket: 3-way symmetry and line display. For those that don’t know what a sierpinski gasket is, it is a fractal that starts as an equilateral triangle with another one inscribed inside it. The next iteration adds triangles inscribed in the 3 “edge” triangles. This continues over and over (forever).

This implementation uses a different method of generation. You start at a random corner of the triangle, choose a random corner, move halfway to it, and draw a dot. Continue to randomly choose a corner, move halfway to it, and draw a dot, and you get the same thing as above.

The paperCrane's view from the reverseFold » sierpinski

3D Sierpinski Gasket

Sierpinski Gasket (in Flex)