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Author Topic: help on finding classic fractals in -1.5 mandelbox  (Read 2998 times)
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Madman
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« Reply #15 on: October 11, 2012, 08:32:16 PM »

Yeay! I've found something rather Sierpinski'esque. Hope you agree...

Mandelbulb3Dv18{
b.....S....O/...w....2....Uj4FkhuB...zygEBXtjxzjLB.HmFqUyz1X7/AXbmAyz2/ymIWrxzzj
................................Xv4deqB9Q02........Y./..................y.2...wD
...Uz.....k0..../M.0/.....Un/...B5....E3.....sUkMpLrjGgD/..........m/dkpXm1.BnAn
x.....kD12../..........wz..................................u1....y1...sD...../..
.z1...sDnceKMtF52vHFv2bLVBPZygv8Vvqp1.ejb.CV72ESqtvg.adH6Jdky2IubAYsT6fDY002EHv6
Xu1raOXStaJgy4qtWo70d6gD......I4..............sD.6....sD..E.....................
.............oAnAt1...sD....z.Lvq..2iP1.kuiB..pvq..wjP1.E0jB..Hwq.......l....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.....................................
................................................................................
........................}


* sierp-box.jpg (41.76 KB, 480x360 - viewed 281 times.)
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cKleinhuis
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« Reply #16 on: October 11, 2012, 08:33:11 PM »

perfect, thanks for helping!
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Madman
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« Reply #17 on: October 11, 2012, 09:26:37 PM »

Koch Snowflake:

Mandelbulb3Dv18{
b.....S....O/...U0...2....E3tKM5qDXzzSySHTYa0V/E8Hv6iYmayzPX5XfN8zyzzORaU9gl3szj
................................88OOlzk9q/2........Y./..................y.2...wD
...Uz.....k0..../M.0/.....kf....54....E3.....wFT0q994diD/..........m/dkpXm1.BnAn
x.....kD12../..........wz..................................u1....y1...sD...../..
.z1...sDIG12iRf5Jv91YKa/uVfeycq8Im97.UiDSqLBC0O.cvHqtqAhiZugyMwR3vVR6HhDeU6p64ZK
dufAhaRX3gVuy2sz1q81QEfj......21..............sD.6....sD..E.....................
.............oAnAt1...sD....z.Lvq..2iP1.kuiB..pvq..wjP1.E0jB..Hwq.......h....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.....................................
................................................................................
........................}


* koch.jpg (116 KB, 480x360 - viewed 286 times.)
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All I want is a warm bed, a kind word and unlimited power (Ashleigh Brilliant)
cKleinhuis
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« Reply #18 on: October 11, 2012, 09:52:55 PM »

great, finally wink
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ericr
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« Reply #19 on: October 12, 2012, 10:22:08 AM »

this is sublime, but how is this possible?huh?
power -1.5 is a sphere-inverson because "-" I think
but so many find it is amazing


and inside the cube huh?
and -1.5 with an other polyedron fratcal (trerta, octaedon......) ?

it is the GRALL-FRACTAL !
ERICR
« Last Edit: October 12, 2012, 10:27:08 AM by ericr » Logged
Tglad
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« Reply #20 on: October 12, 2012, 10:30:22 AM »

It was hiding here, it's on one of the 8 main miniboxes


* box.jpg (100.01 KB, 600x600 - viewed 67 times.)
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ericr
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« Reply #21 on: October 12, 2012, 02:12:00 PM »

Mandelbulb3Dv18{
b.....w....o0...w....2.....EZumaMpuAzKMuTv5oX1mDPidnLafakz1jkYDsqHmyzoti2q6Nf5nj
.......................................Hh12........Y./..................y.2...wD
...Uz.....k3..../M.0/.....EY/...n6....E3.....YSyVbM5ZDaD/..........m/dkpXm1.BnAn
x.....kD12..0.UrcZm7FMHzz.0mAKM.qozDOZivB.7bJy1............u1....y1...sD...../..
.z1...sDYsAIxzzzjz1..........WAbUdisqcljTcFzUvMS3t97C1JzzzzvzUNehUisqcljMaO9c9iB
Ow1mQ0auWPX4zU2bVezzzzyD......Y0..............sD.6....sD..E.0...................
.............oAnAt1...sD....z.2915.sgAQ..qmk/.W915.kiAQ.Uxmk/..A15......w....k1.
.....AQxcz1.......kz.YSud5UO.U2.K/...w0...EG....o/...EA...UE....6/...I14...UdF5I
...U.0aZcPCM6/XtqxNoavuZc0..0c..zrhe..EOf5nlcsxj4.Dbqxm4Iz1...........2/8.EBl35.
.o0FIhT67.2.hE2Jv5G0./..........3I13.wqN51../0biMaOyzsVsP8OPAXzD.czYfTLkRzH/pElz
5TtN...LVxTtT1yD.yXjDUIN0.2.WRvgcbtszKEA8oDU.06..YKaZ6Aeiz1858nQJ6Tnz.ERpBK.iAwj
/6V0.2FAZ.............klrlkCx9yj.6wTJHz2Vz1..Y4Fm.kChklCrl.lAG4.sMHBsIJ4QjAr.stT
Mt7fa6gYZ/.VcJ2Vj6nMFJ0......sEEdFYA.gH9QgH79R6Ou.k4NQl4Jg3r9nB.Sy5KSCzOqhJG.EV2
DEF7stMSN/.3F./3..ULxoGFwm/r9nho4kXGxkFD8W3r9nho................................
E....2....E.....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9.......
..........EnAnAnAnAxz0..................kz1.....................................
................................................................................
........................}


it's not in the "liste" but a discover that ! an keinian fractal (or not) ? into a neatif box !


https://sites.google.com/site/mandelbox/more-negatives


* appolonius fractal 3 box neg.jpg (48.72 KB, 480x360 - viewed 270 times.)
« Last Edit: October 12, 2012, 03:15:47 PM by ericr » Logged
bib
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« Reply #22 on: October 12, 2012, 04:50:13 PM »

Slightly off-topic, but I think an interesting challenge too:

The negative 1.5 box is actually fascinating, but has anyone really tried to explore the negative 1 box? (see picture attached)

The issue with this scale -1 box is that you can see it only if you set a given number of iters (say 25 like in this example) and add a 2nd formula with "repeat from here".

The effect of the second formula can differ, and I wonder what formula to plug in there in order to get a "neutral" result, I mean, where the effect of the second formula is almost negligible, knowing that the first iters really give the object its main shape. Try with different formulas...
I also wonder why we have to add this second formula, and why the box disappears (or entirely fills the space should I say) when iteration count reaches around 50.

Mandelbulb3Dv18{
b.....w....o0...w....2Q...EBLidN6aA6.jeMCO/Acd4ETK1vYAsMIzHjt9Uvetqwzm1q8ZDQqM.k
................................YjtwlwBnaz1........4./..................y.2...wD
...Uz.....k2..../Qk0/.....Uw5...62....E3.....cbdkQYIEaqD/Q.........m/dkpXm1....U
z.EnAnQD12..0..........wz..................................u1....y1...sD...../..
.z1...sDmjPUto8pbx1Lf4vhK5/4zAnZMqzKl7pDx26rxzVMvwXoopbnPFjNzcQmWjjgjJpj83cGxrCA
Fxf3Xnn7QDbJzk.5jHbBAJqD......IP0...v0...2....sD.6....sD.2E.....................
.............oAnAt1...sD....z.rb1B.2UCo.k0uE1.Jc1B.wVCo.E8uE1.nc1B......U....k1.
..................kz.wzzz1.U..6.P....g1...EB....R1........kG....8/...c2...UBSN52
...U.0aZczDM6/nzVM0AzX6dE16.5AqzXzBX..UAZRBEi7yD4odIWOor/z1.B/.......EU.8.UwLl1.
.YfSmmtF0.A.q42LFIUmz.kot.jrBHxj2EEC.oBqJ...UDEyp0ttzslWFbaVWz.k.spM4AgQD.Q.0c..
zzzz............K1...................2U.8.kzzzD............8....................
/6U0.wzzz1...................................ofsO1.Q0ybUcDVnUvB.unDzwzw76Txq.EqN
cVahvwQsR1.h.r9kst2nVzB.ULCtZ1aJ35Sq.IBuWXiBSVwqJ1E7dUG8BQ4nOvB./WMW7e/Q2zxr.cYH
CtYJtBgqM1.WAm6X...y3q/bzz/k.1Akyz1yATomxzpaqaff................................
E....6....E4....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9.......
..........kzzzzzzzzvz0........yD........kz1.....................................
................................................................................
.....................2.....3....8....QINiZYPo/pPrJaQ............................
06U.06U.06U.....................................................................
..............................................zD................................
................................}



* neg1box.jpg (65.99 KB, 480x360 - viewed 260 times.)
« Last Edit: October 12, 2012, 04:58:14 PM by bib » Logged

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Madman
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« Reply #23 on: October 12, 2012, 09:20:41 PM »

Maybe you should try a different approach: start with only the mandelbox with, say -1.01 and then gradually try to approach -1 while increasing iterations. This one is rendered @ scale -1.00005 wx 16000 iterations:

Mandelbulb3Dv18{
b.....S....O/....u1..2....EBLidN6aA6.rAwGYhvPg4EdJ1vYAsMIzHjt9UvetqwzK0q8ZDQqM.k
................................YjtwlwBnaz1........Y./..................y.2...wD
...Uz......0..../MU//.....kF....MzW...E3.....kbdkQYIEarD/M.........m/dkpXm1.BnAn
x.EnAnID12../..........wz..................................u1....y1...sD...../..
.z1...sDpjPUto8prxnLf4vhK5/8zInZMqzKl7qDy26rxzVM9x1popbnPFjRzkQmWjjgjJqj93cGxrCA
Vxv3Xnn7QDbNzo.5jHbBAJrD......oK3...Dy........sD.6....sD.2E.....................
.............oAnAt1...sD....z.Lvx9.2irj.kuSz0.pvx9.wjrj.E0Tz0.Hwx9....../u1..k1.
.....AQxcz1.......kz.wzzz1.U..6.P....M2...EB....m....c3...U1....d....c2...UBSF52
...U.W1KEyzlciszsU3YzTAe906.2c..zzSi...UCW0tRhyj4s6QZJdbqz1..........2U.8..ITw/.
.wUmc2beYz1.dA8E5Exwz0..........3EEC.oBqJ...UDEyp0ttzslWFbaVWz.k.spM4AgQD.Q.0c..
zzzz............K1...................2U.8.kzzzD............8....................
/6U0.wzzz1....................................8cU0.E./2Ezz/cU08../2E.tzDz16E..2E
./IzT/8cU0.E./2EQs5cU08../2E./bTU08c..2E./2ly/8cU0.E./2EMw5cU08../2E.lqTU08c..2E
./2kz/8cU0.E./2E...cU08czz/cU08cyz1cU08cxz3cU08c................................
E....2....E4....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9.......
..........ECKLQPo..wz0........yD........kz1.....................................
................................................................................
........................}


* box -1.00005.jpg (65.21 KB, 480x360 - viewed 254 times.)
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Madman
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« Reply #24 on: October 12, 2012, 09:48:57 PM »

Same as before @ -1.0000005 and 36000 iterations max.


* box -1.0000005.jpg (65.67 KB, 480x360 - viewed 250 times.)
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bib
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« Reply #25 on: October 12, 2012, 10:18:50 PM »

Of course! I did not think about increasing iteration count, thanks! But it seems quite long to get there, looking at your pics. I will do some more tests smiley
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dainbramage
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« Reply #26 on: October 14, 2012, 07:47:57 AM »

I don't know if this would be considered a "classic" fractal, but I did find some interesting cob webs in the -1.5 Amazing Box that I think are noteworthy.

Scale=-1.5; Min R=.5; Fold=1; no julia; no rotation; no extra formulas

Mandelbulb3Dv18{
b.....m....61...ET...2U...kjrpNlMGtzzS1l6FbWIyzjDHgw4b3EgzPv1xiJf2zyzyPhaD3aIyzj
................................gHy7ZBmMY32........Y./.........E........I/2...wD
...Uz.....U3.....M.1/....6.o3...H5....E0.....ECAkNrJb2TD/.kQFAsD...UzckpXm1....U
zUEnAnQD/2../............/................................U0.....y1...sD...../..
.wHnAnQDHqINDNaO6rnnf7Bu8rPuxgs5j.PoLLSDKERk//iQyq1xfJ7oHGdtxSZC7PPx9aSD9zYOMePl
krXBqCXOvaDgxm7eGmNAyhQj...../YK/.............kD.M....sD/6E.....................
...........wzoAnAt1...sD....z.rbhE.2Uq0/k0O92.JchE.wVq0/E8O92.nchEkQFAsDp.....x/
.....AQxcz1.......kzGM4....U..6.I/...s3...EB....S3od369.EQUD....z....cKB...UJVLa
...U.0.Mz94g./UC871..E0.....1c..zzzz..kuvBTuCfvD4EBqwnQahz1..0........068.kXWF1.
..cXcESLfz9..u68Yrpuz0.U........V2V0.gsSd/...........20alwF.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.......
.........../.......yzyzzzzzzzzxDwzzzzzzzjz1.....................................
................................................................................
........................}


* cobweb.jpg (251.72 KB, 400x400 - viewed 245 times.)
« Last Edit: October 14, 2012, 01:48:57 PM by dainbramage » Logged

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dainbramage
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« Reply #27 on: October 14, 2012, 08:13:39 AM »

One other view of the cob web.



* cobweb 001.jpg (202.13 KB, 400x400 - viewed 226 times.)
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ericr
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« Reply #28 on: October 14, 2012, 10:36:18 AM »

lack of wada (see wiki) it s a newton 3d fractal (I see it on fractal forum )
into a box neg


 Mandelbulb3Dv18{
b....2b...UL/...cD....I....ezVjqzzzzzeFbLXxzzzzjVqR.......2.FSHtvQtmzazujfxzzzzj
................................HnHcY7XMP62........Y./.........E.......U9/2...wD
...Uz.....E/.....QE//....6UE0...SL....E......sZcLLrnM/ID.QkA25uD...m/dkpXm1.BnAH
z.....kD12../2.MHB.......RCHXKyCLiwja8vnOzzzzz9............u1....y1...sD...../..
.w1...sDImGagwQuCnvbj8Aqh.vExWXXIvzx/oJDmHu5FnItLpvEURXMncWIxwXWW31SpVHDkK/RLDd8
Hpv1hmQtsqdJxS9v76q3QvHj......2O....y.........kD.2....sD..E.0...................
.............oAnAt1...sD....z.2915.sgAQ..qmk/.W915.kiAQ.Uxmk/..A15kA25uDy0...Uy.
.....AQxcz1.......kz6wzzz1.U..6.P....61...EB....m..06c3..U.F....8/...I1.....SF52
...U.CdcwwjcglnzB5vUzTXd006.1c..6XAm..EizccZWGyD4EdGkxmWcz1...........o.8.kHxg0.
.sM93P58iz9.MmnWK2zwz0...........6U0.wzzz1...........s/...................E.0c..
zzzz.............0...................2U.8.kzzzD............8....................
/6U0.wzzz1...................................AfSt1k39MW7Bx1azX7.Pkm4gc0TneLy.Ql0
aMmRx/0WU.k0agU7gtrguZD.LgU7a6gTneLy.Ql0aMm2zBfSt1k39MW7gxrguZD.LgU7aktTneLy.Ql0
aMmuzBfSt1k39MW7..kguZTaNv1azXNp2krguZTaJs5660GL................................
E....2....E.....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9.......
..........UaNaNaNaNwz0..................kz1.....................................
................................................................................
........................}
 


* newton in box2.jpg (95.61 KB, 625x350 - viewed 65 times.)
« Last Edit: October 14, 2012, 10:40:26 AM by ericr » Logged
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« Reply #29 on: October 14, 2012, 11:43:51 AM »

The Off Topic Mysterious -1 box with no extra formula...  afro


Mandelbulb3Dv17{
a.....S....O/...cD...2....kIpneFyRb4.PZFuxsCJp2E0V3ESEAnly11WI0kT1wqzA2JTh8mKhwD
................................vWvEML/kWz1........7./..................y.2...wD
...Uz....cU6..../M.0/......31...UT/...E3.....U2DP.TqJwrD/..........m/dkpXm1....U
z.EnAnID12../..........wz..................................u1....y1...sD...../..
.z1...kD/ZRRt7MYxxXDFws.IDd6zeUWWKG9aAqjtGbw5vN/4xPBhHKpfKHTzoE6qBDL9GqjgADUQa7M
Wx1z.rLyEnHNzEKEd6TavirD......Ia/.............kD.6....sD..E.....................
.............oAnAt1...sD....zUz805.ag6Q.soWk/UR905.Si6Q.MwWk/Uv905......dD...k1.
..................kz.wzzz1.U..6.P....M4...EB....W....c3...ED....8/...I1.....SF52
...U.qFG9yzb2zzzRYoWzz7lz16.mc..zXCc..k18XGQeGyD3sIRhrVAkz1..........2.28.kFrA0.
.Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c..
zzzz.............0...................2./8.kzzzD.................................
/EU0.wzzz1...................................2CcN/UvNPcveeWCNq0.yRiibHJJUk1f..XR
SvBmx3CcN/UvNPcvQsLsUa3.ibhVi1bTV1OK.sSq4uCly3CcN/UvNPcvMwLsUa3.ibhVinqTV1OK.sSq
4uCkz3CcN/UvNPcv..EsUa3.eeWCNq0.IJ36wk8.wyLsUa3.................................
E....2....E.....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9.......
...................wz0..................kz1.....................................
................................................................................
........................}


One other view of the cob web.



Very interesting and beautiful find Brent!


* neg0ne.jpg (84.64 KB, 480x360 - viewed 227 times.)
« Last Edit: October 14, 2012, 11:48:06 AM by KRAFTWERK » Logged

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