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Author Topic: help on finding classic fractals in -1.5 mandelbox  (Read 3019 times)
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cKleinhuis
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« Reply #30 on: October 14, 2012, 03:25:18 PM »

Cool that newton was new to me thx for sharing it

if anyone finds more types post em
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Alef
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« Reply #31 on: October 14, 2012, 03:36:51 PM »

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_canopy
http://library.thinkquest.org/26242/full/types/ch3.html
If 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.
« Last Edit: October 14, 2012, 03:39:31 PM by Asdam » Logged

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dainbramage
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« Reply #32 on: October 14, 2012, 08:07:24 PM »

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.....................................
................................................................................
........................}


* -1-5 box.jpg (252.66 KB, 800x800 - viewed 62 times.)
« Last Edit: October 14, 2012, 09:26:34 PM by dainbramage » Logged

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dainbramage
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« Reply #33 on: October 14, 2012, 08:10:09 PM »

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.....................................
................................................................................
........................}


* 1-2 box.jpg (234.78 KB, 800x800 - viewed 54 times.)
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dainbramage
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« Reply #34 on: October 14, 2012, 09:15:30 PM »

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.....................................
................................................................................
........................}


* 1-2 box 002.jpg (239.77 KB, 800x800 - viewed 59 times.)
« Last Edit: October 14, 2012, 09:28:33 PM by dainbramage » Logged

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DarkBeam
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« Reply #35 on: October 16, 2012, 01:19:01 PM »

To find a convincing Koch snowflake a certain scale factor is needed I think, hi all! A Beer Cup
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ericr
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« Reply #36 on: October 18, 2012, 10:17:47 AM »

 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
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« Reply #37 on: October 18, 2012, 01:25:10 PM »

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.
« Last Edit: October 18, 2012, 01:27:10 PM by Tglad » Logged
bib
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« Reply #38 on: October 18, 2012, 01:28:07 PM »

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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ericr
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« Reply #39 on: October 18, 2012, 01:43:52 PM »

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 »

This thread could be a great tutorial about mandelbox use;)
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« Reply #41 on: October 24, 2012, 07:06:49 PM »

This thread could be a great tutorial about mandelbox use;)

Supposing that an "use" exists wink
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« Reply #42 on: October 24, 2012, 08:17:11 PM »

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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ericr
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« Reply #43 on: October 25, 2012, 09:18:42 AM »

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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« Reply #44 on: October 25, 2012, 09:35:59 AM »

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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