Duck Ducks Ducky (Image Thread)

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Offline Anon

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« on: February 08, 2018, 04:01:31 AM »
uf2091_hd Ducky Revisited J = ea.ufm
uf2096_hd Ducks (Julia version) = sam.ufm

MB3D_0775_hd _Rotate _Translate ABoxSphereOffset4d _Transform





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)

MB3D_0777_hd _Abs4d _Log4D _addC _AbsX
« Last Edit: March 12, 2018, 10:00:04 PM by Anon »

Offline Fraktalist

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« 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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« Reply #2 on: February 08, 2018, 11:32:33 PM »
Ducky Revisited J = ea.ufm
uf2039_hd
uf2066_hd
uf2072_hd

« Last Edit: March 11, 2018, 08:04:34 PM by Anon »

Offline Anon

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« Reply #3 on: February 08, 2018, 11:33:50 PM »
Ducks (Julia version) = sam.ufm
uf2103_hd
uf2107_hd
uf2110_hd

« Last Edit: March 11, 2018, 08:06:42 PM by Anon »

Offline Anon

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« 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}
« Last Edit: March 12, 2018, 10:00:24 PM by Anon »

Offline Anon

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« Reply #5 on: February 12, 2018, 07:44:38 AM »
Ducks (Julia version) = sam.ufm
uf2118_hd
uf2118a_hd
uf2118b_hd
« Last Edit: March 12, 2018, 10:01:13 PM by Anon »

Offline Anon

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« Reply #6 on: February 12, 2018, 11:11:29 PM »
DuckyVariant[J]Patterns

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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  /AY39/GX9RjdJbplSP2FtUeVE7GxuRs7zHs7/oodT+C=
}
« Last Edit: March 11, 2018, 09:58:46 AM by Anon »

Offline Anon

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« Reply #7 on: February 13, 2018, 09:47:48 AM »
Ducks (Julia version) = sam.ufm
uf2121_hd
uf2126_hd
uf2128_hd

« Last Edit: March 11, 2018, 08:09:25 PM by Anon »

Offline Anon

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« Reply #8 on: February 17, 2018, 12:05:45 AM »
Ducks (Julia version) = sam.ufm
uf2131_hd
uf2139_hd
uf2142_hd

« Last Edit: March 11, 2018, 08:11:13 PM by Anon »

Offline MonkeyDogBoy

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« Reply #9 on: February 19, 2018, 02:38:48 AM »
holy schnikeys, this stuff is way above my pay grade  :thumbs: :yes:

Offline Anon

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« Reply #10 on: February 19, 2018, 05:48:33 AM »
Ducks (Julia version) = sam.ufm
uf2147_hd
uf2148_hd
uf2151_hd

« Last Edit: March 11, 2018, 08:13:21 PM by Anon »

Offline Anon

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« Reply #11 on: February 20, 2018, 09:01:46 PM »
Ducks (Julia version) = sam.ufm
uf2154_hd
uf2155_hd
uf2156_hd

« Last Edit: March 11, 2018, 08:15:45 PM by Anon »

Offline Anon

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« Reply #12 on: February 23, 2018, 11:19:27 AM »
Ducks (Julia version) = sam.ufm
uf2166_hd
uf2168_hd

Ducky Revisited J = ea.ufm
uf2170_hd

« Last Edit: March 11, 2018, 08:17:29 PM by Anon »

Offline gerrit

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« Reply #13 on: February 23, 2018, 06:08:50 PM »
Ducks (Julia version)
Nice Persian carpets!

Offline Anon

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« Reply #14 on: February 25, 2018, 05:18:25 AM »
Doped Ducky J = sam.ufm
uf2213_hd

Ducky Revisited J = ea.ufm
uf2216_hd
uf2219_hd



Gimp Bump Map used for texture enhancement.
« Last Edit: March 11, 2018, 08:19:52 PM by Anon »


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