• June 20, 2021, 12:01:51 AM

### Author Topic:  boolean symmetry  (Read 401 times)

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#### mclarekin

• 3c
• Posts: 870
##### boolean symmetry
« on: June 15, 2018, 10:59:58 AM »
boolean symmetry

https://fractalforums.org/index.php?action=gallery;sa=view;id=967

boolean symmetry

#### Sabine62

• 3f
• Posts: 1225
##### Re: boolean symmetry
« Reply #1 on: September 03, 2018, 12:16:31 PM »
mclarekin, I see the boolean fractals by you and have seen Paigan's video, and I really'd like to know how Boolean comes into these fractals? I only know 'boolean" as a data type declaration with true of false as outcome, or from my days in electronics when building circuits with IC's  Can you please tell me (if and when you have time) what this function/formula does in Mbulber, and can I possibly steal it successfully for fragm?
To thine own self be true

#### Sabine62

• 3f
• Posts: 1225
##### Re: boolean symmetry
« Reply #2 on: September 05, 2018, 11:32:28 AM »
Oops, I might have done some more serious googling  Found the explanation of the Boolean bit after all on the Incendia-wiki page, at least if that's what the Mandelbulber-formula does, alternating two sets of parameters depending on negative/positive real axis as conditional quaternion julia.
But still, can you tell me how it is implied in Mbulber?

#### mclarekin

• 3c
• Posts: 870
##### Re: boolean symmetry
« Reply #3 on: September 07, 2018, 11:37:28 AM »
With boolean mode we can put 7 individual fractals in one image (and animate them)

A long long time ago, i was in school and they taught us "sets", this is the same kind of thing

the 7 fractals can intrude into each others space, giving three options:    intersection (and)         union (or)                    compliment  ( first shape minus second shape.)

https://en.wikiversity.org/wiki/Primary_mathematics:Boolean_logic

#### mclarekin

• 3c
• Posts: 870
##### Re: boolean symmetry
« Reply #4 on: September 07, 2018, 11:56:19 AM »
Since OpenCL has been implemented, boolean is now much faster.    Union mode  is the fast one, and feasible to animate with high end GPU.

I am so lucky to have had the opportunity to work with, and "learn on the job", the open source Mandelbulber project.

Thanks to Buddhi O0 I never run low on  infinite possibilities

anyway, so the picture above is the union of two individual fractal, both centered on the origin

#### mclarekin

• 3c
• Posts: 870
##### Re: boolean symmetry
« Reply #5 on: September 07, 2018, 01:21:59 PM »
example intersection

#### Sabine62

• 3f
• Posts: 1225
##### Re: boolean symmetry
« Reply #6 on: September 11, 2018, 04:03:16 PM »

I am very familiar with Boolean operations, used to design circuits with IC's which consisted of ANDs, NANDs, ORs, XORs, that's probably why my curiosity was appealed to to start with

As to how those could possibly be used to create fractals I could not imagine  But using them to combine fractals into hybrids, yes! Used to show either  or both or all of a pair or a few or a whole set, or only the pixels in common, or just either of them depending on conditions... I think the DEcombinate mode in Mandelbulb3D might be based on this idea, and I can see possibilities in Fragmentarium, where we already have the  min/max  function in the final DE-generation to combine two DE's (min(DE1, DE2)  ) in some formulas.

I'll let this sink in and have some play-time, maybe this might be a way to hybridize formulas via #includes some way...
Thanks again!

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