### mandelbulb integer powers

• 1 Replies
• 98 Views

0 Members and 1 Guest are viewing this topic.

#### mclarekin

• Fractal Frankfurter
• Posts: 604

#### mandelbulb integer powers

« on: June 02, 2019, 07:44:40 AM »
Exampes of integer power mandelbulbs sine-atan2  and cos-atan types
frags contain pow2 3 & 4, but the pattern can be continued to higher powers
frags are set up for z = z^4 + z^3 + z^2 + z  + c. Where c =  add JuliaC and/or add cPixelC
each power has a weight to scale the influence of that term

Both frags have the other type coded but commented out. So it is possible to recode and mix the two types.

DE is often best if symmetry is retained i.e.  evens:  z^4 + z^2 + c, or  odds:  z^3 + z^1 + c

• Moderator
• Posts: 661

#### Re: mandelbulb integer powers

« Reply #1 on: June 07, 2019, 02:20:21 PM »
Lots of fun, Graeme, thank you for this one!
Must explore much more, but already finding lovely goodies, f.i. this rather well-known one
To thine own self be true

### Similar Topics

###### Continuous (real, not integer) iterations of specific powers of M-Set

Started by M Benesi on Fractal Mathematics And New Theories

3 Replies
322 Views
January 04, 2019, 02:13:45 AM
by M Benesi
###### Integer Power+_SphereInvC+julia mode

Started by Bill Snowzell on Fractal Image Gallery

2 Replies
123 Views
July 05, 2018, 09:45:30 PM
by Bill Snowzell
###### extension of numerical DE bounds to other powers/dimensions?

Started by claude on Fractal Mathematics And New Theories

2 Replies
83 Views
August 15, 2019, 05:46:36 PM
by gerrit
###### Help with JIT Formula for Mandelbulb 3D

Started by FracExplorer on Mandelbulb3d

4 Replies
299 Views
October 04, 2018, 03:01:33 PM
by Alef
###### MandelBulb, Box app for iPad

Started by kosalos on Programming

2 Replies
350 Views
January 17, 2018, 09:19:15 PM
by kosalos