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Author Topic: Hidden world or more like a snail with a suction foot and gooey insides  (Read 1061 times)
Description: Modified mandelbulb equations
0 Members and 1 Guest are viewing this topic.
mrrgu
Guest
« on: December 14, 2009, 08:46:35 PM »

Hi

Ok, I modified the mandelbulb equations to scale r,theta,phi independently as r^Na, Nb*theta, Nc*phi...
It is amazing!! what stuff you can find then changing these values  shocked shocked  tongue stuck out
Try Na=-2.0 Nb=2.0 Nc=2.0 and you will see a gooey world inside  grin


You can also see my attempt to show this here (my renderer is poor):

<a href="http://www.youtube.com/v/8Xit83xkCsw&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/8Xit83xkCsw&rel=1&fs=1&hd=1</a>
« Last Edit: December 15, 2009, 12:05:15 AM by mrrgu » Logged
kram1032
Fractal Senior
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Posts: 1863


« Reply #1 on: December 14, 2009, 08:55:34 PM »

nice... maybe something with less transparency would work better though smiley
Hard to make out anything specific smiley

This is the variant that wouldn't be possible with non-spherical formulae I guess, as negative radius is something impossible^^

(although... actually it should be possible by just converting the spherical coordinates with signed radius back to euclidean. this would be equivalent to rotate the whole thing 180° in each step^^)
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mrrgu
Guest
« Reply #2 on: December 14, 2009, 08:59:20 PM »

The radius is not negative r^-2 is the same as 1/r^2 just inverse.

A mandelbrot analogy with Zn=r_n*exp(i*theta_n) would be

Zn+1 = (r_n)^-2 * exp(i*2.0*theta_n) + C

Thus keeping ordinary sign on 2.0 for the angle..but not for the scaling.

I wish someone with better rendering programs..could render this one tongue stuck out tongue stuck out tongue stuck out

Ill try less transparency..but i am new to this.. first volume rendering for me.
« Last Edit: December 14, 2009, 09:24:20 PM by mrrgu » Logged
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