Random Linear Growth – Hoopsnake

This example shows an animation of my ‘work-in-progress’ Grasshopper definition that uses Hoopsnake to recursively perform a ‘copy by mirror’ function on a geometric form. The two examples are based on a cube and a tetrahedron. The growth is linear; expanding by one module with each step. The position of each new module is determined by a new randomly selected face of the preceding module.

I would like to develop the definition so that it doesn’t self intersect, so any comments with ideas on how to achieve this would be appreciated!

3D Fractals

Tom Beddard, Physicist, Animator and Web Developer, explores the relatively new field of 3D fractals. By writing his own software to render new sets of mathematical algorithms that generate 3D structures with unlimited detail. He investigates the resulting wide range of structures ranging from the natural and organic to geometric and artificial, appearing from purely mathematical space.

A collaborative effort on developing 3D fractal algorithms on fractal forums has enabled many programmers to start exploring this new field; free web software generates interactive 3D fractals in real time.

Generating fractal images is more like exploration than design and Tom Beddard explores an entire ‘fractal planet’ shown in the videos below. More information at SubBlue.

Above: Raytraced 3D fractals using Pixel Bender