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Author Topic:  Duck Ducks Ducky (Image Thread)  (Read 136 times)

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Offline Anon

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Duck Ducks Ducky (Image Thread)
« on: February 08, 2018, 04:01:31 AM »

Ducky Revisited J = ea.ufm

uf2091_hd

Ducks (Julia version) = sam.ufm

uf2096_hd

_Rotate _Translate ABoxSphereOffset4d _Transform

MB3D_0775_hd

_Abs4d _Log4D _addC _AbsX

MB3D_0777_hd


Algorithmic worlds - Ducks and butterflies

Ed Algra • 7 years ago http://disq.us/p/es2hpb

The first time I saw a "Duck"-like image was a Fractal Explorer one made by the late Titia van Beugen in June 2003: Egg by Titia
Later on Jennifer Stewart made a lot of images of this kind with the "Talis var.1" formula in Fractal Explorer, e.g.: Ancients by Jennyfnf
She called the pattern "Talis", although she also reached it with other formulas, such as Jo Trotsky's FE "Eyes" one: MoneWoods by Jennyfnf
Titia figured out that not the Talis formula was essential but the function "abs", She too made "duck" images with other FE formulas, such as Trotsky's "Birdy". Also other artists embraced the pattern, among them Kim Baker.
She also made the same patterns in Ultra Fractal, using a private formula of Elias Rain (misterxz), which he baptized as "Ducky". Via "FarDareisMai" I got this "Ducky" and my modest contribution was to write my own version of it. Rain gave me permission to publish it on the UF database and there I called it "Rains's Ducky". Later on I provided another version of it as "Ducky Revisted" (in ea.ufm). Also Danny Van den Berghe published some ducky formulas in vdb.ufm as "DuckyTalis" formulas.
The possibilities of the function "abs" have been explained earlier in 2007 by Albert Smokes in:
Orbit Trap: August 2007
Thanks Samuel for your more fundamental approach resulting in your Ducks formula. It took my attention thanks to the wonderful images Kim Baker made last days using your new generalized version.
So far a little bit of history of the Duck.

de-fracto (Ed Algra) | DeviantArt

Fractal Years by misterxz on DeviantArt

Beesknees67's DeviantArt Gallery (Kim Baker)

Offline Fraktalist

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Re: Duck Ducks Ducky (Image Thread)
« Reply #1 on: February 08, 2018, 12:51:35 PM »
I'd hire you to make that last one my bathroom floor!  :))
looking great!

Offline Anon

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Re: Duck Ducks Ducky (Image Thread)
« Reply #2 on: February 08, 2018, 11:32:33 PM »

Ducky Revisited J = ea.ufm


uf2039_hd


uf2066_hd


uf2072_hd

Offline Anon

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Re: Duck Ducks Ducky (Image Thread)
« Reply #3 on: February 08, 2018, 11:33:50 PM »

Ducks (Julia version) = sam.ufm


uf2103_hd


uf2107_hd


uf2110_hd

Offline Anon

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Re: Duck Ducks Ducky (Image Thread)
« Reply #4 on: February 08, 2018, 11:37:34 PM »


MB3D_0778ab


MB3D_0779ab

Mandelbulb3Dv18{
g.....k1...M7...g....22...kOkqA5xiO/.Lu3q5nrfY4EKekClcdrIz1xolG.kplszMKEqDhVwBzD
................................oBPOCIAliz1........A./.........E........y.2...wD
...Uz6/........./MU//................2.e.....gVYYdkTl9oD/..zCKrD...w0dkpXm1/D8QR
.FURBOhD12..02EnAnAnAnAvzgZNaNaNal/kBnAnAnAnoz9...........U0.....y1...sD...../..
.w1...sDw3jz54/1Wxvm4CmbDc3FzM2zHnvbDKnDF1NQ455sqwfThFv3QjnLzm.X62BqeGpDb7BqWsIz
1x11etLEw.iIzsWHNyWo8xpDU.....YK6.............kD.2....sD..G.....................
.............oAnAt1...sD....zw1....................................zCKrD.....2..
.....Ksulz1.....ezzz.wzzz1UU.Y5......A1...EC....u1....8...U3....L....kom..U5GvTG
...U.yzzzLoz.0ET.0..Q16..2R.mc..zXCc...alwF.HWwj6Eot8VlJqy9..........2.28.kFrA0.
.Ub96aAIVz9.3yuedc8/./..........V.U0.607c...6.IPA/JwzulD4Tgo8ozD..........E/mc..
50gy..UI0sjX5b.k.qolTENeKz9.AF.oMTByz4U.8.kzzzD............8....................
/6U0.wzzz1...................................EvKA..cU08c0F.U./2.U08cUWa2zzzz.wzz
zzzrJ......cU08cCx/U./2.U08cUOhI.02E..8cU08qR/6E./.cU08crX4U./2.U08cUu.R.02E..8c
U0uzz/...0kz.0wz...5oIH9TUlzzzzzij/.....TGnzzzzz.2aQdtKMTtINWJ5PVxZMtxJFHxY9e/rN
E....I.//3E.....I.........kL/7qQoE4.n/rPr/..O/UQh71..................c..........
..................EK./........zD................................................
........................kz1.....................................................
.....................2.....3.........w3HjR4B2/..................................
..............................0E................................................
................................................................................
................................/....E/...k.....T34NYB2.........................
................................kAnAnAnAjzf5nAnAnAnkz6iAnAnAnAvD................
................................................................................
..........................................E.....I....2....kL/7qQM/kIZFrQ........
..........................................kaNaNaNaNez...................kzndzKlW
8wP/./..........................................................................
.....................................................2.....3..../....wJEWBLK....
.....................................................2nAnAnAnAxD................
................................................................................
................................................................}
{Titel: MB3D_0778a_hd}

Offline Anon

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Re: Duck Ducks Ducky (Image Thread)
« Reply #5 on: February 12, 2018, 07:44:38 AM »
Ducks (Julia version) = sam.ufm


uf2118_hd


uf2118a_hd


uf2118b_hd

Offline Anon

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Re: Duck Ducks Ducky (Image Thread)
« Reply #6 on: February 12, 2018, 11:11:29 PM »


Ducky Variant [J] = ea.ufm
Disk Plasma = mt.ucl

DuckyVariant[J]Patterns {
::g1FPNjn2tzZTvNuNQY47BI/HE89IzZ43tQHW0FtAb7CUgW0LFFLYsljVj+wQSOdzf8euDpld
  cstyubXvoZT5NKKqhvzQO8xky2Ladz6dlfzlXkk0X0XmnN51rnd79J/mrtwV3n87v5PSW567
  zbr7mk8XFz7XmZVskl5F3ssPTxYJlu7zb7yAwbkZt5zL67ym8jJvN57/WYKMFZgaylXEaWoj
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  vadfTVT7iiuqJJre3gsZTZers6dtu5Frp4XKjuYxqmi6+MWqcq/y2GfZ2unqq5Ofg5QpQ6gi
  Yz9hsnWVv9vvm6rfd7D7ljDyoRpNS5afZ0XJmdFf6V+iXTFhpsHJ8HpMS/exvxCnHZ+du7Lz
  vfPduvxHTAH2701F13l32H6xPKtM3V/ItQje9Ntd0k1BFsy16ywUaWFN5aKLFtWQr2cjr93A
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  aAlWrRQ6Nyw9kH1a9hte4GUPMmVsHaEAGxIwOtwe4xB5YtenW2VjdcfBPyzR+IGGlnQG4YeO
  ek/xhxlBnfUrHz/46TID+JcxBE4+j+0MvdD+WYb4RtjWiyt9iQI2v2ni2KOD0WhmrVahADwW
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  R87HA/S8hlD83BQTkAHJwRC8LRC8B/5V9JdmzCLTJf4V+Car/fWDwKYiH+hGpplLjY3I2Nid
  /AY39/GX9RjdJbplSP2FtUeVE7GxuRs7zHs7/oodT+C=
}

Offline Anon

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Re: Duck Ducks Ducky (Image Thread)
« Reply #7 on: February 13, 2018, 09:47:48 AM »
Ducks (Julia version) = sam.ufm


uf2121_hd


uf2126_hd


uf2128_hd
« Last Edit: February 14, 2018, 06:33:43 AM by Anon »

Offline Anon

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Re: Duck Ducks Ducky (Image Thread)
« Reply #8 on: Yesterday at 12:05:45 AM »
Ducks (Julia version) = sam.ufm


uf2131_hd


uf2139_hd


uf2142_hd


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