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Offline mclarekin

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boolean symmetry
« on: June 15, 2018, 10:59:58 AM »
boolean symmetry



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boolean symmetry

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Offline Sabine62

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Re: boolean symmetry
« Reply #1 on: September 03, 2018, 12:16:31 PM »
 :fp: :embarrass: 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  :)) :embarrass: :fp: 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

Offline Sabine62

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Re: boolean symmetry
« Reply #2 on: September 05, 2018, 11:32:28 AM »
Oops, I might have done some more serious googling  :embarrass: 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?

Offline mclarekin

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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

Offline mclarekin

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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.

 ;D  Thanks to Buddhi O0 :thumbs: I never run low on  infinite possibilities ;D


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

Offline mclarekin

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

Offline Sabine62

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Re: boolean symmetry
« Reply #6 on: September 11, 2018, 04:03:16 PM »
Thanks a lot, mclarekin, for your elaborate explanation!  :thumbs: I had headed completely down the wrong track, glad you stopped me :))

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  :embarrass: 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)  :D ) 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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