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Author Topic: Why no 3d Trees, seashells, and natural forms in M3D?  (Read 14279 times)
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Mrz00m
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Posts: 203


« on: April 04, 2012, 02:57:22 PM »

Why aren't there any 3d trees and spirals like seashells?

There are lots of cubes, dodecs, round, and sponge shapes in M3d, and i would love to have a greater diversity of organic shapes, and simple things that are found in nature... plants that turn around in Phi patterns, like cactuses and grasses, ferns, and structures that branch off from each other along axes, like pine trees, chunky IFS tree formulas from games and advanced curved tree formulas... And also lots of seashells, it would be nice to combine 2 or 3 seashells into different axes and multiply them together with other formula to see what happens?


Actually much of my time in M3D is spent looking for things that exist in real life with as much diversity of form as possible, and types of curves and symmetries... isn't it time to see some seashells and trees, and phi spirals mixed in with the boxbulbs and the the more straight ones? a romenesco brocolli for example is a spiral tree IFS whereas the seeds and petals of a plant are a phi pattern?

And there is a Sin but there is no Cos, could there be a way to make spirals and spirographs using SinZ and CosZ at different magnitudes?

« Last Edit: April 04, 2012, 03:02:29 PM by Mrz00m » Logged
Kali
Fractal Supremo
*****
Posts: 1138


« Reply #1 on: April 04, 2012, 04:50:40 PM »

Tree:

Mandelbulb3Dv17{
W.....c....s/...S....22...UOl3oQoUU6.j1rGK2Z6Y5E2Wm9vZxbvz95FPkkMoyyzYH9LnfCIr.k
................................zdzVOFACcz1........6./..................y.2.....
................/M.0/....2Us/...b0....E2.....EYfUngAA6rD/..........m/dkpXm1....U
z.EnAngD12../2EnAnAnAnApzqAnAnAnA1zjOaNaNaNaNz9............u1....y1...sD...../..
.w1...oDELKsWy4Zqx1rFB3/PNACz.E5RMmrM/qjga41aIk4Mx1C0NrDB6cOz2I5HEAhcArDXboDTY4w
KxHfdIEbEN.RzayKse.4NUqD......o/..............kD.2....sD..kz....................
.............oAnAr1...sD....z.qRj9..sxi.UWrv0.ISj9.stxi..erv0.mSj9......S....k1.
..................kz.wzzz1.L.I1.P....w0...kA....i....c3...U9....z....I1.....SJ52
ow1U.ydelyjeYFnz....zDYJh/6./c..zzzz..EizccZWGyD.EdGkxmWcz1...........k.8.kXWF1.
.sM93P58iz9.MmnWK2zwz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1....................................uBZ..vbPC.zzFoTu2.Rfwe.szDnueM.g5T
t/EzTt6Ul/EVw35.Qs5crI0.dO3G..bTUSH7.QMQh/.ly/uBZ.ktNTB.Mw5crI0.omue.kqTUSH7.MDw
j1.kz/uBZ..VA72....crI0.zzFoTu2.yzngi84.xzZX.45.................................
E....2....E.....I....c....kNZtKG4B3.U.pPrJaQ..........................U.06E./2U/
4M........UaNaNaNaTxz0........zD........kz1..........oAnAnAnA1zjBnAnAnAnlzvAnAnA
nAnuz0......Af4E.......AG/2.......yA.1..........................................
........................}



Shell:


Mandelbulb3Dv17{
W.....c....s/...w....22...UsuXxBxpWuze4CGifn02xjR/3BmNKtUynkVsNqzPumzcClSotBtVyj
................................cU8uUnNmG/2........A./..................I/2.....
................/M.0/....2k7/...07...2E2.....wPwHYAY2RkD/..........m/dkpXm1....U
z.EnAngD12../2.........sz..................................u1....y1...sD...../..
.w1...oDFvEiL14O3w1U2xz0.vLry.QhKlsbg0jD5SZAWrwRVvP1iuKLnCh/zIgc/TXHa5gDZ9Wr8gD.
kvfYgcQmM0ApyuoVEoWflKkD......II..............kD.2....sD..kz....................
.............ckpXm1...sD....z.qRx9..spj.UWLz0.ISx9.stpj..eLz0.mSx9......w....k1.
..................kz.wzzz1kP.A4.x....61...EE....m....c3....0....C/...IIr...UJl52
...U.ydelyjeYFnzTeOgzf8No...nc..zzzz..EizccZWGyD.EdGkxmWcz1...........k.8.kXWF1.
.sM93P58iz9.MmnWK2zwz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1....................................uBZ.U7Eg..zzFoTu2.oQm2.szDnueM.YXB
b.EzTt6Ul/k6Uk/.Qs5crI0.a.l0..bTUSH7.M029..ly/uBZ.U7Eg..Mw5crI0.a.l0.kqTUSH7.M02
9..kz/uBZ.U7Eg.....crI0.zzFoTu2.yzngi84.xzZX.45.................................
E....I....E.....I....2....kL/7qQM/UQU.pPrJaQ..........................U/46E./2U/
4M............................zj................................................
................................................................................
.....................2.....3....1....wZIjFLMoJ4.................................
4MU/....................................t.2.......cF./..........................
................................................................................
................................/....E/...E.....TBpMVlKOiR4.....................
............4M..................nAnAnAnAnz1........wz.........zD................
................................................................................
................................................zzzzz1....../7qQN/..............
................................................................................
................................................................................
.....................................................2.....3....1....wJMYFqE....
..............................................................zD........kz1.....
...wz...........................................................................
................................................................}




Spiral Shell:

Mandelbulb3Dv17{
W.....c....s/...o5....2...EMzMnmBdJwzioM8wZVZj/EB4Mvwd2UtyHmnyBRib4vzgq3E0.R3Fyj
................................4/R2.zgjV.2........M./..................y.2.....
................/Q.0/....2Eb/...BV....E2.....gjW/3PNWWnD/Q.........m/dkpXm1....U
z.EnAngD32../2UNaNaNaNatz..................................2.....y1...sD...../..
.w1...oD1bkaLvPtrvXEyITOj41EzAEjo0yx3IljMjfrqy7zzwPObfX.90C/zoJ7TDjIrjlDN1TEXmmD
RwXYs1uBdCn2z2mFuQ3ucynD......2P....T....2....kD.2....sD..E.....................
.............A6U.i1...sD....z.qRx9..spj.UWLz0.ISx9.stpj..eLz0.mSx9......k1...ET.
................n0kz.wzzz1kM.I4.81...61...EE....m....c3...E9....v....cqm...UJZzI
no1U.ydelyjeYFnzTeOgzf8No...nc..zzzz..EizccZWGyD.EdGkxmWcz1...........k.8.kXWF1.
.sM93P58iz9.MmnWK2zwz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1....................................uBZ.U7Eg..zzFoTu2.oQm2.szDnueM.YXB
b.EzTt6Ul/k6Uk/.Qs5crI0.a.l0..bTUSH7.M029..ly/uBZ.U7Eg..Mw5crI0.a.l0.kqTUSH7.M02
9..kz/uBZ.U7Eg.....crI0.zzFoTu2.yzngi84.xzZX.45.................................
E....6....E.....I....A....kLGx4RVFLN..pPrJaQ.I4RoE4..................MU/46E./2U/
4M............................0E........0/2........wz.........zD........kz1.....
................................................................................
.....................2...../....1....2IPVdLOiR460x4S............................
.Qk0.................cNaNaNaN4zj................................................
................................................................................
................................}



Mountains:


Mandelbulb3Dv17{
W.....c....E/...w.....2...E8/8237WHuzejuV9cd.szDbz74PDgAkz1bn2VbTEumzeaWiIDXn8yj
................................Ygc9nbIHm.2........A./..................y.2.....
...............././0/....2UN1...G2....E2......gsIuqbWTmD/..........m/dkpXm1....U
z.EnAngD12../..........szCnAnAnAnAwj........Ez9...........U0.....y1...sD...../..
.w1...oDvk4NMviSUvfcOBEgANk7zsBim08LIYkjEH1W0edHbwfZbD7Oeccwy0a9aIJnt8kjAar734.T
2wvirqgNrcu/zco/lZdAFOmD......Y3..............kD.2....sD/.kz....................
.............A6U.i1...sD....z.qRx9..spj.UWLz0.ISx9.stpj..eLz0.mSx9......T....k1.
................f.kz.ENZe/EK.o2.a....g1...kD....p.....2...E4....U....Iom...UJxb1
6E/U.y2UsVPF/3Gi4OvjL4m7m....c..Rjhm..k.Tci/2Uyj.6HNL1YPWz1.........../.G2.Wkx2.
.Ak5eP./sz1.kndRjg/pz.UBmE031C/E2.UMzHAlc0..3g3Tgcxzz..DMdzxWMyD.ILuiTXVNyH.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1...................................I5Uq/UMV/4.zbGT2m6.DzQo.wzIp36S..2E
z.kyxt5Ry/kl/LA.VzbS5q5.ZaOd.IyTtZbT.UtZN0kuzlMVw/Um7XA.kz5T8y5.tqPi.MzTrJcW.2Al
31kyzZsRv/U9bU0....cU08.zz/cU08.yz1cU08.xz3cU08.................................
E....2....E.....I....c....kNZtKG4B3.U.pPrJaQ..........................U.06E./2U/
4M........Uf53iSIsOxz0..................kz1........wz.........zj........kz9.....
...wz0.......s1k........I.2........3./..........................................
........................}

Logged

|</\|_|
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http://fractkali.deviantart.com/
Mrz00m
Fractal Lover
**
Posts: 203


« Reply #2 on: April 04, 2012, 05:39:15 PM »

Hey thanks Kali!

some very nice forms there! It would also be interesting to apply spiral and tree forms to any parameter using formulas? If you apply IFS with complex symmetry and every iteration is at a different angle, do you think it would make phi and tree forms that preserve some of the shapes of their parent? like bending some of HalTenny's tubes into phi and tree?

here is another spiral from a random julia event:
http://www.dangerousminds.net/comments/ive_just_been_eaten_by_a_giant_peyote_button

and some natural spirals
http://www.google.co.uk/search?q=nature+tree+shell+fractal&um=1&ie=UTF-8&hl=en&tbm=isch&source=og&sa=N&tab=wi&ei=x2N8T4rfI8Wr0QWwnZWnDQ&biw=1834&bih=1103&sei=zWN8T9e-MMSX1AX2mcXYDQ
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Mrz00m
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Posts: 203


« Reply #3 on: April 04, 2012, 05:46:05 PM »

http://k3dsurf.s4.bizhat.com/k3dsurf-ftopic119-15.html
page includes code!


* gyromation2_by_schmiegel-d3ah20.jpg (86.07 KB, 903x680 - viewed 863 times.)
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DarkBeam
Global Moderator
Fractal Senior
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Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #4 on: April 04, 2012, 08:02:30 PM »

Gyroid can be made with DIFS already, not done inverse gyroid btw. wink
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PhotoComix
Strange Attractor
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Posts: 276


« Reply #5 on: April 04, 2012, 08:38:07 PM »

wow,i saved this page thank Kali i too i am very interested to organic shapes.

Quote

a pity that on the link are codes that i would not know how to use in M3D
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cKleinhuis
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Posts: 7044


formerly known as 'Trifox'


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« Reply #6 on: April 04, 2012, 11:38:00 PM »

i made it sticky wink
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Mrz00m
Fractal Lover
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Posts: 203


« Reply #7 on: April 05, 2012, 09:12:01 PM »

Thanks cKleinhuis   embarrass

Oh! i didnt realise that the code there was not complete, actually the code there is extensions to k3dsurf sample file called gyroid. http://k3dsurf.sourceforge.net/ perhaps also you could mail schmiegel on deviant art to ask him if he has some code for blender etc in C++   tease
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Alef
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« Reply #8 on: April 10, 2012, 07:07:53 PM »

Mrzoom is much right. IMHO the most fascinating are naturaly looking fractals showing that math realy describes the nature. Alsou, I think, it's pretty interesting how one natural IFS can turn into another. (I have video for that but in 2D and smoothed down)
<a href="http://www.youtube.com/v/_Onf6-IFQ-g&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/_Onf6-IFQ-g&rel=1&fs=1&hd=1</a>


There are 3D fern IFS. In UF there are escape time 2D formulas for fern, so there could be in 3D, just someone needs to find it first, or at least to put right variables in existing formulas;)

Spiralic rotations and grassiness could be done by unit vector addition I sugested some threads down. In 3D with amazingbox this works like on mandelbrot. Remember geometric nature of triplex and complex number plane.




IMHO, of natural fractals, the most fascinating I found "Entangled Trees". They can be reproduced in M3D, somewhere in threads were glynn formula with entangled tree pattern in the cutt off plane. Maybe "Entangled Trees" is some fundamental mathematic figure jet unknow to science as it apears as often as mandelbrot.




Slow as hell from deviantart:

Mandelbulb3Dv17{
Y....6Q...Uy....s/...2.....cfB4By/Ptze8dJVO2Wf2El89yTKcOAzv6d9BrMI5szeCXcWWgW0wD
................................rDtRibagG.2........../.................UE/2..2qE
..........kG..../g.0/....6.L9....3...2E4.....szrjHqHU0pD/g.........G.dkpXm1/BnAn
xEUaNadD12../2kAnAnAnAnozCnAnAnAnAwjOaNaNaNaty9............u1....y1...sD...../..
.w1...sDBVmnRzcDpw9ZFOnFiGYDzQBX5Gz1POlj1AFH9lr0swfAJ6g9ja.8za66Lgm02cnD96WMF0zC
nw1nxepAUUaAz6V3E/kp5dnD......2aV...NS........kD.2....sD.2E.....................
.............ckpXm1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......i....U5.
.....MEUZz1.......kz.wwfk.../E2.Y....s1...kB.........63....I....O/...k2w..UpTlz.
...U.4MQIJlZD0MAmcLdS6piW1..0c..U1Cs..klrlkCx9zj/sVMLcIsxz1...........U.8.kITB5.
.Eot8VlJKz1.kndRjg/xz...........3MVAzfje3...2G5Y3Ga3./U4JxvEF6/k.Af0iVAuK.Q7/cE.
jMXD...BWRK89Z/k.60VD1jD3.A.kr3G5WL5.3U.8.kzzzD.................................
/6U0.wzzz1...................................geRA/UBkM1.YpUcyp2.Tl3L.si4oOLJ.g2I
E/Ueb.9UP/EI8/3.4Jnfqd3.ZJKO.kDGhCrM.k/6M.EJMN8Q8/.NZd4.GRqg/e2.nAHA.MVRm204.UsQ
L/U/y3fTC/koF9B...EfTS4.TpXpaC2.IJZmWK5.yy5NBJ/.................................
E....M....E.....I....A....kLklKMiJaFjl4N........................................
...................wz...........................................................
................................................................................
.....................2.....3..../....wJEWB5K.656ExqRZ75.........................
.Qk0....................................kz9.....................................
................................................................................
................................/....E/...E.....T3YMnZ3.........................
................4MU/4MU/........................................................
................................................................................
..........................................E.....I....2....kL/7qQO/..............
......................U/4.U1Dwk106E.............................................
................................................................................
.....................................................2.....3....4....wpQkVKNmJKO
iN5..................................6..........................................
..............zD...................wz0..........................................
................................................................/....E/...k.....
T34NYB2.................................................................kz1.....
...wz.........zD................................................................
............................................................................}
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fractal catalisator
FracZky
Explorer
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Posts: 58



« Reply #9 on: August 10, 2012, 09:35:43 AM »

Thank you Kali for sharing again your vast knowledge of Madelbulb 3D... I'm sure those are going to supply with hours of new exploration...
Can you perhaps help me find a parameter if I supply you with an image?
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Alef
Fractal Supremo
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Posts: 1173



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« Reply #10 on: August 26, 2012, 04:30:29 PM »



Code:
Mandelbulb3Dv17{
Y.....m....K0...w....2.....Jk4uJd.ByzerIf0nqLw1Ekx2kpwsCky18fDCkxWxwzUb3CyNXcHzj
................................WzFk5sXNk.2........A./..................y.2..UwE
...........A/.../Q.01.....EN0...D1....E2......rwadOAHJmD/QEW/FwDNee70xckpl1.iIJJ
z2....kD12../..........wz..................................u1....y1...sD...../..
.z1...sDMQwC99E5/xH8z7M3IJiwyEUtVFwe0AmjV5RIWPO5evXBcBh6gEKEzcRjTV4Y8olDs3fp.5Y3
Xw1GlMiYzPB5zSstlhbyv0oD......2qK...zM........kD/2....sD..E.....................
.............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6EW/FwDM....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....61...EB....X/...c3....F....8/...Y1.....SF52
...U.mcdAyTe/GnzAq8lzjeQm.6.1c..6XAm..EizccZWGyD/EdGkxmWcz1...........o.8.kHxg0.
.sM93P58iz9.MmnWK2zwz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1...................................czzJ0E7ag..m5m8f...aMm0..RAE1fK.k1D
w.Ur/dI3..U7Gg..aWZvn0..9/Y3.ERMW6W6.U/4M.Enfd5ME..LCh/.RxbyzL7.ZMm0.UvTuzTZ.IW7
9..vzdzzJ0E7ag....UyzL7.r3WGJ...3XZyzL7.W0a6W60.................................
E....A....E.....I....E....kLVB5NVp4Jm3aPn/...........................MU/4.......
..........................................UaNaNaNaNiz0..........................
................................................................................
.....................2.....3....8....QKNiZYFH/kIm.UQa/..........................
.6U.02E./MU/4........cNaNaNaNazj........kz1........wz...................kz9.....
...wz0..................y.2.......UD./.......s1E................................
................................/....E/..../....T3qQY3KPI7LMiB5.................
..........U/4M..4MU/....................................................Uz1.....
................................................................................
............................................}

Maybe this thread should be merged with examples.
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fractal catalisator
toxic-dwarf
Navigator
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Posts: 66


« Reply #11 on: August 31, 2012, 04:47:38 PM »

I actually run a group on deviantart dedicated to organic looking fractals. Although all fractal software renders are accepted the majority of the submissions are made using mandelbulb3d. If your interested take a look! http://fractal-organic.deviantart.com

I don't want this to be seen as 'spamming' the thread, it just seemed like a good example of how mandelbulb 3d can be used to create natural looking formations.
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LarryMurk
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GIMP wizard


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« Reply #12 on: February 12, 2014, 10:29:13 PM »

Kali,

I'm hoping to make plenty of fun 3d fractal pictures, but I plan more to use fractals as part of my paintings. Do you mind my using your mountains from above in this thread to serve as foreground for my painting?

Thx,
Larry
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Larry Murk
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http://LarryMurk.deviantART.com
Kali
Fractal Supremo
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Posts: 1138


« Reply #13 on: February 13, 2014, 06:08:50 AM »

No prob Larry, as long as you mention the source.

Good luck smiley

Kali
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LarryMurk
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« Reply #14 on: February 13, 2014, 02:24:23 PM »

I'll absolutely credit the source and link to the forum.
Thanks!
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Larry Murk
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