cKleinhuis
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« Reply #30 on: October 14, 2012, 03:25:18 PM » |
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Cool that newton was new to me thx for sharing it
if anyone finds more types post em
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divide and conquer - iterate and rule - chaos is No random!
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Alef
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« Reply #31 on: October 14, 2012, 03:36:51 PM » |
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Interesting challenge, Christian. I've found a fractal tree here:
Mandelbulb3Dv18{ b.....Y/...g2...w....26...UN6Esp2/3zzyrgcaQCcjzjvkv8uozquzXpcsmhDyTyzA7YsnUN/lzj ................................EEJFsQNCF02........Y./..................y.2...wD ...Uz.....U8..../MU0/.....kS2...B4....E3.....UaJrKTWBFfD/..........m/dkpXm1.OaNa z.UaNadD12..0..........wz..................................u1....y1...sD...../.. .z1...kD6yI0Hz4iEu9AfOdhVzkgyWrU1w0XbNdD1gG7ULOgYu1h6FsqJNyay8C6tKgy1.fjFtYvD3Ux kuXdjrGy.W3Lyy2hLrP6BNeD......ol/.............sD.6....sD..E..................... .............oAnAt1...sD....z.Lvl9.2i5j.kuSw0.pvl9.wj5j.E0Tw0.Hwl9......d....k1. .....AQxcz1.......kz.wzzz1.U..6.P....U5...EB....m....c3....3....6/...I1.....SF52 ...U.qFG9yzb2zzzRYoWzz7lz16.pc..zXCc..kvrEtMc7xD4ocyFE0ujz1..........2.28.kFrA0. .Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c.. zzzz.............0...................2./8.kzzzD............8.................... /EU0.wzzz1...................................2CcN/UvNPcveeWCNq0.yRiibHJJUk1f..XR SvBmx3CcN/UvNPcvQsLsUa3.ibhVi1bTV1OK.sSq4uCly3CcN/UvNPcvMwLsUa3.ibhVinqTV1OK.sSq 4uCkz3CcN/UvNPcv..EsUa3feeWCNqGQIJ36wk8EwyLsUa3f................................ E....2....E.....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9....... ...................yz0........yD........kz1..................................... ................................................................................ ........................}
I just found, that fractal tree have its own name a Fractal Canopy http://en.wikipedia.org/wiki/Fractal_canopyhttp://library.thinkquest.org/26242/full/types/ch3.htmlIf this is usefull;) The fractal tree model (shown in Figure 1) has five generations (N=5), with three branches at first generation and as scale-reduction factor 1/2 between adjacent generations. Its similarity fractal dimension is log3/log2=1.585. The first generation has 3 branches of diameter 28.8mm and the fifth generation (at the top) has 243 branches of diameter 1.8mm. Figure 2 shows typical cross-sections of five generations.
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« Last Edit: October 14, 2012, 03:39:31 PM by Asdam »
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fractal catalisator
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dainbramage
Iterator
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« Reply #32 on: October 14, 2012, 08:07:24 PM » |
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I found this in a -1.5 box:
Is this IFS or L-system Fractal?
Mandelbulb3Dv18{ b.....m....61...ET...2U...kdmRwoTPvzzakT3l6chtzjRvoM5H7fwz1YaWn832jyzqz1xaMvMyzj ................................f5Ts3JdK102........Y./.........E........y.2...wD ...Uz......4.....M.1/....6UaD...z3...2E0.....Ao4agaoF6hD/.kQFAsD....1dkpXm1..... zUEnAnQD/2../............/................................U0.....y1...sD...../.. .wHnAnQDK0aUGD4HDvnTpEX9miojymKLWiI/F6fDwo0qKjK20vn9BJ12JdlmyYCHA79SCxfj3pg0itmc trnYbqVVT8VkyEu6IiWg9xgD...../ow/.............kD.M....sD/6E.0................... .............oAnAt1...sD....z.rbhE.2Uq0/k0O92.JchE.wVq0/E8O92.nchEkQFAsDd.....x/ .....AQxcz1.........G2aH3/.U..6......s3...EB....S380Bs3.UOUD....z....cKB...UJV5K ...U.0.Mz96g./kZT1fOgG0.....1c..zzzz...Fbf24LNvj4Ak5eP./czH..0........068.kXWF1. ..cXcESLfz9..u68Yrpuz0.U........V2V0.gsSd/............4alwF.HWwD..........E.2c.. 2LeV..UPAI91pRzjU/...................2U.8.kzzzD............8.................... JI01xH9OG/.305b792UvzaRdHng129vjjyDGa9yBPz9..o2Kq0UQpxsXzzFUmx7.O3pOftzDaaJR.UBl 9XRzTJ3He0UMVV4OQs5Uch5.HA/3I.bT4xNb.QWJJN3lyJYUN/k90NXEMwbWrB8.qCPjxmqT.Cdf.oxs efCkzdKIQ0.TptcX...s..kEzz/..wD5yz1.s0EPxzJrf0kd................................ E....2....E.....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9....... ...................yzazzzzzzzzxDwzzzzzzzjz1..................................... ................................................................................ ........................}
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« Last Edit: October 14, 2012, 09:26:34 PM by dainbramage »
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dainbramage
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« Reply #33 on: October 14, 2012, 08:10:09 PM » |
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I found this in the same location as the image above, except this was in a 1.2 (positive) box:
Mandelbulb3Dv18{ b.....m....61...ET...2U...UTeKLOo3VB.Di.nfF.k71ksL/MsPgto.2ntSe1i85B.rfibpUe0M1k ................................IsaWAqwZH/2........Y./.........E........y.2...wD ...Uz......4.....M.1/....6ECI...a9...2E0.....UM2Eh8LN5kD/.kQFAsD....1dkpXm1..... zUEnAnQD/2../............/................................U0.....y1...sD...../.. .wHnAnQDmJ8Hl5Qm/wXddjc6hGtlyYZJHmOAqfZjXn9m6waq2vfETllFGxozyAdiCJGqm1jjcSokhnM/ quvVL.Iw3GCwy6HCsz31fxjD...../Yc2.............kD.M....sD/6E.0................... .............oAnAt1...sD....z.rbhE.2Uq0/k0O92.JchE.wVq0/E8O92.nchEkQFAsDF/....x/ .....AQxcz1.........G2aH3/.U..6......s3...EB....S380Bs3.UOUD....z....cKB...UJV5K ...U.0.Mz96g./kZT1fOgG0.....1c..zzzz...Fbf24LNvj4Ak5eP./czH..0........068.kXWF1. ..cXcESLfz9..u68Yrpuz0.U........V2V0.gsSd/............4alwF.HWwD..........E.2c.. 2LeV..UPAI91pRzjU/...................2U.8.kzzzD............8.................... JI01xH9OG/.305b792UvzaRdHng129vjjyDGa9yBPz9..o2Kq0UQpxsXzzFUmx7.O3pOftzDaaJR.UBl 9XRzTJ3He0UMVV4OQs5Uch5.HA/3I.bT4xNb.QWJJN3lyJYUN/k90NXEMwbWrB8.qCPjxmqT.Cdf.oxs efCkzdKIQ0.TptcX...s..kEzz/..wD5yz1.s0EPxzJrf0kd................................ E....2....E.....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9....... ..........kAnAnAnAnwzYzzzzzzzzxDwzzzzzzzjz1..................................... ................................................................................ ........................}
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dainbramage
Iterator
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« Reply #34 on: October 14, 2012, 09:15:30 PM » |
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This is a koch flake from the 1.2 box:
Not quite as nice looking as the one from the -1.5 box in my opinion.
Mandelbulb3Dv18{ b.....m....61...ET...2U....XEc1hZdVB.DuhuX8gXH1kYtsObPpuo.2QJUCp.5IB.vdDzS0t1M1k ................................H9Vmdh6k7/2........Y./.........E........y.2...wD ...Uz.....U3.....M.1/....6U84...l9...2E0.....gPmGBj.dgkD/.kQFAsD....1dkpXm1..... zUEnAnQD/2../............/................................U0.....y1...sD...../.. .wHnAnQDePs0l9E89w1..........Gwa.B1uzMXjvEKm5NVCWpfu4iEw0Ym0zIFnW31uzMXjPogMlUyD qsnmP0oAczXBy20F2vi.dgkD...../oQ0.............kD.M....sD/6E.0................... .............oAnAt1...sD....z.rbhE.2Uq0/k0O92.JchE.wVq0/E8O92.nchEkQFAsDM/....x/ .....AQxcz1.........G2aH3/.U..6.s....s3...EB....S380B69..SUD....z....cKB...UJljR ...U.0.Mz96g./kZT1fOgG0.....1c..zzzz............4UNAT2kYczH..0........068.kXWF1. ..cXcESLfz9..u68Yrpuz0.U........V2V0.gsSd/...........g2alwF.HWwD..........E.2c.. 2LeV..UPAI91pRzjU/...................2U.8.kzzzD............8.................... JI01xH9OG/.305b792UvzaRdHng129vjjyDGa9yBPz9..o2Kq0UQpxsXzzFUmx7.O3pOftzDaaJR.UBl 9XRzTJ3He0UMVV4OQs5Uch5.HA/3I.bT4xNb.QWJJN3lyJYUN/k90NXEMwbWrB8.qCPjxmqT.Cdf.oxs efCkzdKIQ0.TptcX...s..kEzz/..wD5yz1.s0EPxzJrf0kd................................ E....2....E.....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9....... ..........UAnAnAnAnwzYzzzzzzzzxDwzzzzzzzjz1..................................... ................................................................................ ........................}
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« Last Edit: October 14, 2012, 09:28:33 PM by dainbramage »
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DarkBeam
Global Moderator
Fractal Senior
Posts: 2512
Fragments of the fractal -like the tip of it
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« Reply #35 on: October 16, 2012, 01:19:01 PM » |
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To find a convincing Koch snowflake a certain scale factor is needed I think, hi all!
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No sweat, guardian of wisdom!
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ericr
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« Reply #36 on: October 18, 2012, 10:17:47 AM » |
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I am looking for Sierpinski fractals Apollonius in power -1.5 but I find nothing do any of menger power in -1.5 Is Amazing box the only possible case
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Tglad
Fractal Molossus
Posts: 703
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« Reply #37 on: October 18, 2012, 01:25:10 PM » |
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How about this?- It looks like this: which is a circle packing fractal. Only, it is a bit hard to see because it is kind of encrusted with miniboxes that obscure the view a bit.
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« Last Edit: October 18, 2012, 01:27:10 PM by Tglad »
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bib
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« Reply #38 on: October 18, 2012, 01:28:07 PM » |
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I don't remember the formula I used for this one, but it was probably a box (which scale, I don't know). But I find the similarity with the image just above quite striking.
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Between order and disorder reigns a delicious moment. (Paul Valéry)
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ericr
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« Reply #39 on: October 18, 2012, 01:43:52 PM » |
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this is absolutely sublime damages that you lost the parameters
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Alef
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« Reply #40 on: October 23, 2012, 06:00:33 PM » |
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This thread could be a great tutorial about mandelbox use;)
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fractal catalisator
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DarkBeam
Global Moderator
Fractal Senior
Posts: 2512
Fragments of the fractal -like the tip of it
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« Reply #41 on: October 24, 2012, 07:06:49 PM » |
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This thread could be a great tutorial about mandelbox use;)
Supposing that an "use" exists
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No sweat, guardian of wisdom!
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bib
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« Reply #42 on: October 24, 2012, 08:17:11 PM » |
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this is absolutely sublime damages that you lost the parameters
ABoxMod4d, Scale 1.5, Fold 1, W add 0.1, Julia (0,0,0)
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Between order and disorder reigns a delicious moment. (Paul Valéry)
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ericr
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« Reply #43 on: October 25, 2012, 09:18:42 AM » |
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Mandelbulb3Dv18{ b.....S....O/...w..........Nxn1ASui/.nl5fjE/.K2EVWGS.au0Uz9K6NhGRt7wzelLYl5fjEmD ................................H1H.Nok2Uz1........Y./..................y.2...wD ...Uz.....U/.....M.0/.....EE....D1....E3.....A8BKX6HV6sD/..........m/dkpXm1....c //....sD12../2.............................................u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljTcFzUvMS3t97C1JzzzzvzUNehUisqcljMaO9c9iB Ow1mQ0auWPX4zU2bVezzzzyD......Y...............sD.6....sD..E.0................... .............oAnAt1...sD....z.2915.sgAQ..qmk/.W915.kiAQ.Uxmk/..A15......K....k1. ..................kz.wzzz1.U..6.P....U5...EB....m....c3....F....6/...I1.....SF52 ...U.qFG9yzb2zzzRYoWzz7lz16.pc..zXCc..kvrEtMc7xD4ocyFE0ujz1..........2.28.kFrA0. .Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c.. zzzz.............0...................2./8.kzzzD............8.................... /EU0.wzzz1...................................2CcN/UvNPcveeWCNq0.yRiibHJJUk1f..XR SvBmx3CcN/UvNPcvQsLsUa3.ibhVi1bTV1OK.sSq4uCly3CcN/UvNPcvMwLsUa3.ibhVinqTV1OK.sSq 4uCkz3CcN/UvNPcv..EsUa3feeWCNqGQIJ36wk8EwyLsUa3f................................ E....2....UA....I....A....EMWx4Shx4NoE4.rJaQ.................................... ...................yz.........zDOaNaNaNaty1..................................... ................................................................................ ........................}
Tank you for Help but I have only that
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bib
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« Reply #44 on: October 25, 2012, 09:35:59 AM » |
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Tank you for Help but I have only that
Try to decrease DE stop (20 is much too high) and then the shape will disappear (because of W add<>0) so enable dFog to make the "shadow shapes" appear.
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Between order and disorder reigns a delicious moment. (Paul Valéry)
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