Sphere Inversion Fractals

[fractalrebel]

Let's not forget there is another large group of 3D type fractals out there which use sphere inversions. Here is an example that uses Mobius Transforms.

[fractalrebel]

Here is another example, this time straight sphere inversions starting with a tetrahedral arrangement of tangent spheres, and yes, it is a fractal. The top has been lopped off so you can see some of the details of interior.

[fractalrebel]

Both the Mobius inversions and the straight 3D inversions use the "Plane and Sphere Raytracing" formula in the Ultrafractal database (reb5.ucl). It in turn calls a raytrace library called RaytraceSphere in reb.ulb. Anyone who own UF 5 has access to the database and can see the code used. The tetrahedral sphere inversions and the Mobius inversions are plugins to RaytraceSphere.

[cKleinhuis]

i recently read the book from "indra's pearls " which was dealing with the moebius transform, nice to see those images!

[lycium]

i also have that book, it's such a joy

here are some sphere inversion fractals i rendered in 2005:

http://imgur.com/hQ7WG.jpg
http://imgur.com/3jzgU.jpg

[fractalrebel]

Nice,

Looks like these were mapped onto a Riemann sphere.