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Author Topic: Formula suggestion  (Read 6493 times)
Description: ABox variation
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Kali
Fractal Supremo
*****
Posts: 1138


« on: July 06, 2011, 05:46:17 AM »

Hi Jesse / Luca

I have a suggestion for a formula. Is just abs + translation + Tglad's ballfold + addC

So it's the same as genIFS but with ballfold instead of rotation

Sample Julia using custom transforms:



Mandelbulb3Dv17{
P.....Y/..Ei1...cD...26...U4my5OHgIwzWyZMd7/uF0EdV72JOU4AwvXymZjtNvvzmgo3Ccsa2yj
................................/BKEK4BLP.2........Y./..........nAnAnAnIG/2.....
................/M.0.....6ER/...N9...2k2.....QPdIkJmDamD/..tr9sD...c./...u1.OaNa
z.UaNadD/...02.........sz0........zD........Ez9...........E......y1...sD...../..
.w1...kDBraw8TGH3x1..........6qijNNCn3bjmZYzt4ufftX/jGnto.TCz2uVHHbwZ1oDUeKY1VuD
ZtXcetXRmLCEzuOe5ICBkbnD.....5Yk1.............kD.2....PE..kz.........U.E........
.............................UTRB7.YqpY.cQLH0.wRB7.KspY.kXLH0UMSB7..............
................pzD..wzzz1.I.c1.x....o0...kD....Q/...U4...UB....J/...IH....UJrZ9
pQ1U.ydelyjKeBszSzhoz1....6./c..zzzz.EmYEkti4xwDYA72QifFDz1...........268.Uplq6.
iUNAT2kY6zv8CXieHq7..1..........p2GAx1Ak.1.iROszmlGtzInRfnLR1FyjWueck3rGE.QEKc..
KG8h.EmYEkti4xyDtodIWOorVy1..........2U.8.kzzzD.................................
/6U0.2irR1...................................23OG/EObV4.zzVBC32.GR3J.oVMB87J.cpE
9/E3y3IRw.kCLR1.QsL9CV2.S2H9..bT8xnN.6oD5/.lyhWP8/.GVB3.MwL9Sx1.uoZF.kqTg2cF.YnH
z..kzJXJH/EYF47....crI0.zzFoTu2.yzngi84.xzZX.45..ooFTR1Co2X9e/rN................
E....A....E.....I.........kL/7qQoE4.b31.rJaQ.............................6E./2U/
4M.................wz.........zjJXLua210Uz1.....................................
................................................................................
.....................2.....3....1....w3Jm3aPnlKMoJ4.n/..........................
..............................yj........Uz9........sz0..........................
................................................................................
................................/....E....k...../pKMuZaPb/WEjV5.................
............5g..........................sznAnAnAnAnsz...................Uz1.....
...wz.........zj...................................................0./..........
............................................}



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Rathinagiri
Fractal Fertilizer
*****
Posts: 374


« Reply #1 on: July 06, 2011, 09:37:44 AM »

Gigantic! 
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Kali
Fractal Supremo
*****
Posts: 1138


« Reply #2 on: July 06, 2011, 01:03:54 PM »



Mandelbulb3Dv17{
P.....Y/..Uh1...cD...26...E19ae5BOe/.npg4gFynm.Eqcba8Y9Gvz1GB1CncDA/.9sCUJjgeCzj
................................3RpmstwZ0.2........Y./..........nAnAnAnQ5/2.....
................/M.0.....6km....n8...2k2.....wfRMyN5D9oD/..tr9sD...c./...u1.OaNa
z.UaNadD/...02.........wz........kzj........6.A...........E......y1...sD...../..
.w1...kDSJRQjebMSx1.3a0IodJCz4XiyVkqI4nDA1ajCo/FSwfCUazw4DaFzcY4yJVLsopDpIP2m1Gu
xwP27f70BN7LzuK/mVejjHoD.....5Im/.............kD.2....PE..kz.........U.E........
.............................UTRB7.YqpY.cQLH0.wRB7.KspY.kXLH0UMSB7..............
.....................wzzz1EN.c1......E1...kD....v....U4...UB....J/...gH....UJrZ1
qg1U.ydelyjKeBsz....zLPjA16./c..zzzz.Io.Tci/2UyjPt41pmERLz9...........268.Uplq6.
iUNAT2kY6zPeJ2OLSnyyz0..........p2GAx1Ak.1.iROszmlGtzInRfnLR1FyjWueck3rGE.QEKc..
KG8h.EmYEkti4xyDtodIWOorVy1..........2U.8.kzzzD.................................
/6U0.2irR1...................................23OG/EObV4.zzVBC32.GR3J.oVMB87J.cpE
9/E3y3IRw.kCLR1.QsL9CV2.S2H9..bT8xnN.6oD5/.lyhWP8/.GVB3.MwL9Sx1.uoZF.kqTg2cF.YnH
z..kzJXJH/EYF47....crI0.zzFoTu2.yzngi84.xzZX.45..ooFTR1Co2X9e/rN................
E....A....E.....I.........kL/7qQoE4.b31.rJaQ..........................k/9.......
...................wz.........zjJXLua210Uz1.....................................
................................................................................
.....................2.....3....1....w3Jm3aPnlKMoJ4.n/..........................
...............................k..........A..........1..........................
................................................................................
................................/....E....k...../pKMuZaPb/WEjV5.................
............5g..........................wz1.............................Uz1.....
...wz.........zj...................................................0./..........
............................................}
Logged

Kali
Fractal Supremo
*****
Posts: 1138


« Reply #3 on: July 06, 2011, 08:03:45 PM »



Mandelbulb3Dv17{
P.....u1...M7...Y/...2A...kNQoAHN9m..9O.CaMv26yDJIyFpfK/..omjMbWDeFxzupjWMd5nMzj
................................xK.ufnrdB.2........Y./..........nAnAnAnQ5/2.....
................/Q.1.....6EZ/...d6....k9.....spzx3sRS9mD/Q.tr9sD...c./...u1.OaNa
z.....cD/...02..............................6.A...........E......y1...sD...../..
.wXaNadDdQvJQwpSBxHWklTs8jwkyS7VmHLbljhjJjQ12shNRvXNayMtYRB8zsQtMFb/GnoDlEcJuiBI
iuP84gFdv6BHza1jmY7oLXmD.....5YiI...SK........kD.2....PE..E..........U.E........
.............................UTRB7.YqpY.cQLH0.wRB7.KspY.kXLH0UMSB7..............
.....................wzzz1EP.g5.d....M1...UC....N/...Q6...UB....J/...Qnv...UJrZ1
960U.ydelyjKeBsz....zLPjA16./c..zzzz.MxuvBTuCfxj5Got8VlJaz1............68.Eu518.
EZqulQA8SzXm3yuedc8tz0..........p2GAx1Ak.1.iROszmlGtzInRfnLR1FyjWueck3rGE.QEKc..
KG8h.EmYEkti4xyDtodIWOorVy1..........2U.8.kzzzD.................................
/6U0.2irR1...................................IYGQ/.YFW7.zzlI3B2.6OcV.oVMAR4Q.U3Q
t/E3yRnC3/EOep4.QsrE.R3.dMmA..bTP3qE.6NZ20.lyBnCe/ELQt3.MwrGDR2.7VYF.kqT0ZIK.A1B
s..kzFXC6/.7b.1....crI0.zzFoTu2.yzngi84.xzZX.45..ooFTR1Co2X9e/rN................
E....A....E.....I.........kL/7qQoE4.b31.rJaQ..........................k/9.......
...................wz.........zjJXLua210Uz1.....................................
................................................................................
.....................2.....3....1....w3Jm3aPnlKMoJ4.n/..........................
...............................k..........A..........1..........................
................................................................................
................................/....E....k...../pKMuZaPb/WEjV5.................
............5g..................BnAnAnAn..2........sz...................Uz1.....
...wz.........zj...................................................0./..........
............................................}

Logged

Jesse
Download Section
Fractal Schemer
*
Posts: 1013


« Reply #4 on: July 06, 2011, 10:34:41 PM »

Yes, that is very nice, if i find some time i would do a formula out of it.

Some non julia parameters for a starting point:

Mandelbulb3Dv17{
P.....m....r/...cD...22...ko0g99htjxzKrE9akgQ/1EnOZgaHRYczHkApbPAT/hz.9iVKA7PPwD
................................rEZU4ecQ0.2........Y./..................y.2.....
................/MU/.....6Eo....FB...2k2.....QS3WE75p9pD/..tr9sD...c./...u1....U
z.EnAngD/2../..........sz0........zD........Ez9...........U0.....y1...sD...../..
.wXaNalDbN9VTTIvExnF6e3/R4U.zOcgvV8/72ojZh6x4rQahwvLpwHMd.7IzwCrpTK0Z1ojjYU0J2Hl
yw1hQ/zqmXaEzIRzr.LjPpoD.....52w..............kD.2....PE..kz.........U.E........
.............A6U.i1..........UTRh8.Yqpe.cQLf0.wRh8.Kspe.kXLf0UMSh8..............
................pzzz.wzzz1.I.c1.x....o0...kD....Q/...U4...UB....J/...IH....UJrZ9
pQ1U.ydelyjKeBszSzhoz1....6./c..zzzz.EmYEkti4xwDYA72QifFDz1...........268.Uplq6.
iUNAT2kY6zv8CXieHq7..1..........p2GAx1Ak.1.iROszmlGtzInRfnLR1FyjWueck3rGE.QEKc..
KG8h.EmYEkti4xyDtodIWOorVy1..........2U.8.kzzzD.................................
/6U0.2irR1...................................23OG/EObV4.zzVBC32.GR3J.oVMB87J.cpE
9/E3y3IRw.kCLR1.QsL9CV2.S2H9..bT8xnN.6oD5/.lyhWP8/.GVB3.MwL9Sx1.uoZF.kqTg2cF.YnH
z..kzJXJH/EYF47....crI0.zzFoTu2.yzngi84.xzZX.45..ooFTR1Co2X9e/rN................
E....A....E.....I.........kL/7qQoE4.b31.rJaQ.........................c..........
...................wz.........zjJXLua210Uz1.....................................
................................................................................
.....................2.....3....1....w3Jm3aPnlKMoJ4.n/..........................
..............................yj........Uz9........sz0..........................
................................................................................
................................/....E....k...../pKMuZaPb/WEjV5.................
............5g..........................sznAnAnAnAnsz...................Uz1.....
...wz.........zj...................................................0./..........
............................................}
Logged
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #5 on: July 06, 2011, 11:14:09 PM »

Hey, IMO you can get this with my latest aboxmod, try it carefully smiley
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No sweat, guardian of wisdom!
Kali
Fractal Supremo
*****
Posts: 1138


« Reply #6 on: July 07, 2011, 12:29:47 AM »

Quote from: Jesse
Yes, that is very nice, if i find some time i would do a formula out of it.

Thanks!

Hey, IMO you can get this with my latest aboxmod, try it carefully smiley

Yes... I just tried and got some similar results. Your formula is very good, indeed (thanks for mentioning me as the "inspirator" smiley), even better because it has more options. But mine is simpler (maybe faster?) and perhaps Jesse would want to include it with the official formulas? maybe he can optimize it and make a faster version compared to custom transforms, like he did with genIFS. Anyway is just a suggestion, it works pretty well with custom transforms (but it uses 3 formula slots, though)

« Last Edit: July 07, 2011, 02:00:15 AM by Kali » Logged

Jesse
Download Section
Fractal Schemer
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Posts: 1013


« Reply #7 on: July 07, 2011, 11:49:03 PM »

Here it is:
http://www.fractalforums.com/mandelbulb-3d/all-formulas-not-included-in-version-1-6-9-4/msg28944/#msg28944

Some sign flips and the DE seems to be a little big because of the different folding or so, but with a Raystep Multiplier of 0.3 it should be still quite fast.

Some really nice shapes in there  smiley
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Kali
Fractal Supremo
*****
Posts: 1138


« Reply #8 on: July 08, 2011, 12:03:53 AM »

Jesse, just downloaded but for some reason it doesn't work for me. It seems to repeat the last formula used in the slot (?).
Also the X_add, Y_add, Z_add settings are missing.
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Kali
Fractal Supremo
*****
Posts: 1138


« Reply #9 on: July 08, 2011, 12:08:01 AM »

I found the problem, is in the m3f file, in this line:

.2Doubles Z add = 0.5

I changed to:

Double Z add = 0.5

Now it works but I think something is still wrong...

« Last Edit: July 08, 2011, 12:33:06 AM by Kali » Logged

Jesse
Download Section
Fractal Schemer
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Posts: 1013


« Reply #10 on: July 08, 2011, 01:11:57 AM »

Argh sh...

the .2Doubles option is not implemented in the current version...

i think you have to wait for the update  sad

You could add a dummy line:  .Double not used = 0
before the changed: .Double Z add = 0.5
but on an upgrade to the original formula the values would be shifted when loading parameters.
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Kali
Fractal Supremo
*****
Posts: 1138


« Reply #11 on: July 08, 2011, 03:08:32 AM »

Argh sh...

the .2Doubles option is not implemented in the current version...

i think you have to wait for the update  sad

You could add a dummy line:  .Double not used = 0
before the changed: .Double Z add = 0.5
but on an upgrade to the original formula the values would be shifted when loading parameters.

That's ok, not a big problem. Seems to be working fine now, and with very fast calculation times!

Many thanks Jesse!  A Beer Cup

P.S.:Can you make that change to the formula file in the .zip anyway? just for others who will download it and didn't read this thread...
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Kali
Fractal Supremo
*****
Posts: 1138


« Reply #12 on: July 08, 2011, 06:37:58 AM »

Meanwhile, I'm putting here the working formula for current version.
I changed the name to not be overwrited by the correct version in next program update, so params made with this will still work when loaded in next version.






* ABoxModKaliFixed.m3f (0.94 KB - downloaded 197 times.)
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DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #13 on: July 08, 2011, 11:40:29 AM »

Swiss cheese cheesy


Mandelbulb3Dv17{
P.....S....O/...w....2.....fKJQ.2QM1.jkT.2Q6982EmPHeEdiEmzfjeGOne3IwzqXihcSW/7zj
................................kFFOBoA5tz1........Y./..................y.2.....
................/ME//....6U4/...Y0....E2.....kQV2eLkpQqD/..........c./...w1....U
z.....kD32../2Em5QlDYc6qzKQbEmSBldxjavVldhFfzz9............2.....y1...sD...../..
.w1...sDuIFKTYEOUx1l1bAGeCiWyuCs8h1sd/qjEuwxNaZBLx9bk./ccY4Mzs.sBU5.qQpjq52xCaZB
LxX4iEzi.b4MzYsRdpXIoQpD......I1..............kD.2....sD..kz0...................
.............................UTRU4.Yq/O.cQ5c/.wRU4.Ks/O.kX5c/UMSU4..............
.....................wzzz1.U..6.P....M4...EB....W....61....F....8/...I1....UJl32
...U.iVFwxDE./ozPM2Tzz7lz16.mc..zXCc.El18XGQeGyDjvIRhrVAkz1............28.kFrA0.
FWb96aAIVzvh1se7Umvxz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1...................................2CcN/UvNP6.eeWCNq0.yRii.EJJUk1f..XR
S1.mx3CcN/UvNP6.QsLsUa3.ibhV..bTV1OK.sSq40.ly3CcN/UvNP6.MwLsUa3.ibhV.kqTV1OK.sSq
40.kz3CcN/UvNP6...EsUa3.eeWCNq0.IJ36wk8.wyLsUa3.................................
E....2....E.....I....M....EE0x4SBx4N934PdNIOsJ4N......................k/........
.....................BnAnAnAnAyD...................../........zD........kz1.....
................................................................................
........................}
Logged

No sweat, guardian of wisdom!
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #14 on: July 08, 2011, 12:33:46 PM »

I am working on this, a modified concept from Aexion and others grin ... tetrahedral Apollonian fractal. smiley

Too bad, slow convergence undecided



Mandelbulb3Dv17{
P.....S....O/...o5...2I...E7hlE.dK2yzqgDMbEI5y0EFpGIAzMjEz1U3aj77wjpy2ri.sDtCkuD
................................ViUz0veL2.2........A./..................y.2.....
................/MU0/....6E7/...Zo....E2.....gmCT2.8RmpD/..........c./...w1....U
z.UaNadD32../..........wz..................................2.....y1...sD...../..
.w1...sDt8rxAvP7LxXHUr1PHtsSyOf4.tVBG1pjKj8Y0FxAnqff.Xfzbo7Lzkq.mb7lkRcjllHeTMXo
ExHx/IR8tOjUy2RG4ggjZQpD......IA4.............kD.2....sD..kz0...................
.............................UTRU4.Yq/O.cQ5c/.wRU4.Ks/O.kX5c/UMSU4..............
.....................caOe/.U..6.P....A0....O....H1...A0...U8....f....U2....UJl3I
...U.0aZczzzzzzzMg2czX6dE16.0c..znCv.cVoK/nl2xvjQvM93P58iz1...........U.8.EssjA.
IwUmc2beYz1RdA8E5Exwz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1....................................Ak.1..z1..e6/k.1A..1Ak.Y47.06U...U
.1Ubqgdht0kaqa9.TT2U.06.zzzz.wmH.1Ak..6.z1kpYB8fR0...0A.MIbRsZ6..1Ak.EFS.1Ak..6U
.0U2x/Ak.1kzzzD....y3q/.zz/k.1A.yz1yAT2.xzpaqa9.................................
E....E....E.....I....M....kLn/5OZ7LNdtaR..................................U.....
...........................................pJmUJJJJlz.........zD........kz9.....
................................................................................
.....................2.....3....0....wZFjl4NdtqNIJ4Rm3qAY/......................
06............................zD........kz1.....................................
................................................................................
................................/....E/...U/....TB5QcJaQZZaPq/..................
................0.......................Uz9........sz0........yDO9FkFJJJJz1.....
...wz...........................................................................
..........................................E.....I....2....kLHBKMgZaPb/..........
..........................U/4MU/4M........kSIsuFVf5wz0........zD........kz1.....
...wz...........................................................................
........................................................}

Opinions plz help
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No sweat, guardian of wisdom!
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