Re: Koch fractal variants (spinoff based on eNZedBlue's recent post)

On Sat, 08 Sep 2007 00:57:50 -0700, eNZedBlue <chris@xxxxxxxxxxxxx>
wrote:

I've rendered some 3D Koch fractals out of cubes, octahedrons,
tetrahedrons (stella octangula) and spheres here (scroll down to
bottom):

http://www.enzedblue.com/KOchCROP/KochCropCircles.html

and here:

http://www.enzedblue.com/Images/KochCrystal.jpg

Unlike the regular 3D Koch these have a 2D Koch fractal silhoette when
viewed from a 45 degree angle (pitch and yaw). The sphere-based one is
the "Sphereflake".

Regards,
Chris Hayton

Noting your scheme for variants, it occurs to me that you may be able
to do something with this idea:
http://home.rochester.rr.com/cgtreasures/comparison.gif

The concept was to keep the area of the 2d fractal constant by
iterations that were area-wise constant.

also:
http://home.rochester.rr.com/cgtreasures/constant_area.gif
http://www.fractalforums.com/index.php?topic=334.msg1603#msg1603


It would be interesting to see the 3d versions of this.

John
.