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No more noise on reciprocal fractals

Journal Entry: Mon Jun 18, 2012, 2:29 AM
FractalFoundry III by MarkJayBeePlanetary Defense System by MarkJayBeeFab X1200 by bib993Behind the scenes by Vidom

With ReciprocalX,Y,Z functions you can get very awesome variations on IFS formulas, the only problem was that the DE was a  lot inaccurate! Particularly in the Navi, the fractal never showed up correctly.

More, the only rotations allowed were multiple of 90°, to keep discontinuities horizontal / vertical... :(

I solved this annoying problem with reciprocalX3, Y3, Z3 - three new functions! Try them and you will be very surprised. :)

Even rotations are possible without annoying random cut-planes! :la:

A must try imo. Needless to say; reciprocalX3 is completely different from reciprocalX2 ... There is no way to "convert" them too bad. You must study new parameters! :)

:icondelightfulplz:

  • Listening to: C-91 ???
  • Watching: RecipX
  • Playing: RecipY
  • Eating: RecipZ
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:iconvidom:
Vidom Featured By Owner Jun 18, 2012  Hobbyist Digital Artist
Non vedo l'ora di provarle! :w00t:
Grazie Luca, il mio istinto mi dice che i risultati saranno eccezionali! :-)
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:icondark-beam:
dark-beam Featured By Owner Jun 19, 2012  Student Artist
Addirittura? :D Grazie, speriamo :)
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:iconleoniezurakowsky:
LeonieZurakowsky Featured By Owner Jun 18, 2012   Digital Artist
That sounds amazing Luca! :D
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:icondark-beam:
dark-beam Featured By Owner Jun 19, 2012  Student Artist
:iconairguitarsoloplz: :D Thanks ELZed :kiss:
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:iconskyzyk:
skyzyk Featured By Owner Jun 18, 2012  Hobbyist Digital Artist
linked here [link]
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:icondark-beam:
dark-beam Featured By Owner Jun 18, 2012  Student Artist
:iconfalindriel:
Reply
:iconfraterchaos:
fraterchaos Featured By Owner Jun 18, 2012  Hobbyist Digital Artist
very cool...and thank you Hal for the cool link... I like how it just goes right to the download!
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:icondark-beam:
dark-beam Featured By Owner Jun 18, 2012  Student Artist
:iconkermityayplz:
Reply
:iconfraterchaos:
fraterchaos Featured By Owner Jun 18, 2012  Hobbyist Digital Artist
:lol:
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:iconmarkjaybee:
MarkJayBee Featured By Owner Jun 18, 2012  Professional General Artist
Thanks for the lovely new formulas Luca - exploring them now!! :sherlock:
And thanks also for featuring a couple of my pieces! :thumbsup::thanks:
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:icondark-beam:
dark-beam Featured By Owner Jun 18, 2012  Student Artist
No problems, gimme some dollars :iconmoneyplz:

:rofl:
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:iconmarkjaybee:
MarkJayBee Featured By Owner Jun 18, 2012  Professional General Artist
GBP any good??! ;) :lmao:
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:icondark-beam:
dark-beam Featured By Owner Jun 18, 2012  Student Artist
:iconlololplz:
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:iconphoenixkeyblack:
phoenixkeyblack Featured By Owner Jun 18, 2012  Hobbyist Digital Artist
Thanks, Luca :D
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:icondark-beam:
dark-beam Featured By Owner Jun 18, 2012  Student Artist
:iconamazedcatplz: pleasure
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:iconundead-academy:
Undead-Academy Featured By Owner Jun 18, 2012  Hobbyist Digital Artist
Cool will have to try it :) thanks .
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:icondark-beam:
dark-beam Featured By Owner Jun 19, 2012  Student Artist
:iconrobotkissplz:
Reply
:iconundead-academy:
Undead-Academy Featured By Owner Jun 19, 2012  Hobbyist Digital Artist
You're awesome :) welcomed always .
Reply
:iconskyzyk:
skyzyk Featured By Owner Jun 18, 2012  Hobbyist Digital Artist
Thanks for the heads up and your great work. Reciprocal x,y,z, has always been a favorite variation. I know a few people will be glad to see this. Right Mark? :rofl: Now about the new version, any projected dates? Just so I can stop checking six times a day. LOL
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:iconmarkjaybee:
MarkJayBee Featured By Owner Jun 18, 2012  Professional General Artist
Indeed Gary - manna from heaven to me mate! :nod: :plotting: ;)
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:iconskyzyk:
skyzyk Featured By Owner Jun 18, 2012  Hobbyist Digital Artist
LOL I am glad you liked my comment. I learned to use the variation studying yours. Thank you.
Reply
:icondark-beam:
dark-beam Featured By Owner Jun 18, 2012  Student Artist
:icongizmoplz: I cannot know when Jesse will finish, can't see his obscure lab! ;)
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:iconskyzyk:
skyzyk Featured By Owner Jun 18, 2012  Hobbyist Digital Artist
I had to ask. :)
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:iconmandalamker:
mandalamker Featured By Owner Jun 18, 2012
grandioso!!!
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:icondark-beam:
dark-beam Featured By Owner Jun 18, 2012  Student Artist
:iconheartglompplz: Grazie cara :iconheartglompplz:
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:iconlyc:
lyc Featured By Owner Jun 18, 2012
Any technical info for the nerds? :B
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:icondark-beam:
dark-beam Featured By Owner Jun 18, 2012  Student Artist
Oh, so you lyc that info! :lmao:

ReciprocalX2: x' = sign(x)/(abs(x)+Limiter)
ReciprocalX3: x' = sign(x)(1/Lim - 1/(abs(x) + Lim ))

Also a drawing :lmao: [link]

Cheers :D
Reply
:iconhaltenny:
HalTenny Featured By Owner Jun 18, 2012
Thanks! I'll have to give this style a shot. :) Every one grab his formulas here! [link]
Reply
:icondark-beam:
dark-beam Featured By Owner Jun 18, 2012  Student Artist
:iconbananadanceplz: Ohh thanks Hal
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