Pre-/Post- Transform suggestion

[cKleinhuis]

hello all,

i was thinking about the mandelbulb spherical method, i was on the wood-path of defining an alternative coordinate system with arbitrary axis,
but i came down to the point that this would just mean adding/subtracting values to the spherical representation of the point

so, i would suggest to - additionally to alternating formulas - a pre- and post- transform would make sense, like the ones in apophysis
to achieve my basic goal of an arbitrary coordinate system, this would make a pre-post transform of a simple rotate, e.g. 45 degree around
an axis in the one pre-function and a rotation back around -45 in the post transform ...

basically this should be stackable , but a single pre-post transform would make severe sense in my eyes

regards
ck
 

[DarkBeam]

Hey! If you need a transform please post it in full formula form.
Example
x'=x+y
Rotations are tricky to do and long.
Pre and post? Try to apply trans before and after. Non iterated transforms may give wrong results... And I don't know how to code a pre or post trans

[DarkBeam]

HOW TO MAKE PRE-TRANSFORM;
Put the transform BEFORE all. numiter = 1 (or more, if you want strong deformation)
Then put everything else, with numiter >>1
HOW TO MAKE POST-TRANSFORM;
Put the transform AFTER all. numiter = 1 (or more, if you want strong deformation)
Then put everything else, with numiter >>1

This works for Menger sponge. Example;


Mandelbulb3Dv16{
M.....S....O/...w....2....UCvnpSV3Z1.H.v47KoMM2EZWvmVByPRvHgLDV1qVTgzAULjRcWr5vD
................................EzbIwTjZkz1........Y./..................y.2.....
................/ME//....6k6/...s/....E2.....2MiMOU6F4rD/..........c./...w1....U
z.....kD..../..........wz.............................................sD...../..
.w1...sDKdr536GYlx1..........cegX1Y46ndjIecqatcKIuvVTw8B3RBOzMF2eAhWMXqj8vFsZCMK
IuHgUyHp8WBOzcneN8HFLXqD......22......................sD..kz0...................
.............................UJRR4.uppN.sNLb/UkRR4.arpN.cULb/U9SR4..............
...........................U..6.P....M4...EB....W....61....F....8/...I1....UJl12
...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....6....E.....I.........kLdtaRXZ5Pdt4NmZqMVl4...........................U/4M..
..........UaNaNaNaNmz.........yD................................................
................................................................................
.....................g1....3....5....oINiRKNmZYFH/EG4B3.........................
.....MU/4....................U.E........kz1........wz.........yD................
................................................................................
................................}


Mandelbulb3Dv16{
M.....S....O/...w....2....UCvnpSV3Z1.H.v47KoMM2EZWvmVByPRvHgLDV1qVTgzAULjRcWr5vD
................................EzbIwTjZkz1........Y./..................y.2.....
................/ME//....6E2/...e0....E2.....2MiMOU6F4rD/..........c./...w1....U
z.UaNadD..../..........wz.............................................sD...../..
.w1...sDKdr536GYlx1..........cegX1Y46ndjIecqatcKIuvVTw8B3RBOzMF2eAhWMXqj8vFsZCMK
IuHgUyHp8WBOzcneN8HFLXqD......oG......................sD..kz0...................
.............................UJRR4.uppN.sNLb/UkRR4.arpN.cULb/U9SR4..............
...........................U..6.P....M4...EB....W....61....F....8/...I1....UJl12
...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....6....U/....I....M....kLbtKMmlqA2/.NmZqMVl4..............................M..
..........kSIsuFVf5wzcNaNaNaNavDOaNaNaNatyXaNaNaNaNiz........U.E..........2.....
................................................................................
.....................g1....3....5....oINiRKNmZYFH/EG4B3.........................
.....MU/4....................U.E........kz1........wz.........yD................
................................................................................
................................}

  Menger sponge gnarled? I am crazy  

[cKleinhuis]

hi there, thanxs for trying, but i think this should be implemented as a general feature for an iteration step, so that an
iteration step looks like:


1. Optional Pre Transform ( any formula you like, but smaller ones like add/mul are fine )
2. THE Actual Formula to Iterate
3. Optional Post Transform ( same as pre transform )

the whole steps 1..3 make up ONE iteration step

regards
ck