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Author Topic: Custom formulas & transforms - Release  (Read 58296 times)
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DarkBeam
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Fragments of the fractal -like the tip of it


« on: February 07, 2011, 01:03:02 PM »

Older posts here; http://www.fractalforums.com/index.php?topic=5656.msg27691#msg27691

IMPORTANT. HOW TO USE TRANSFORMS AS PRE-TRANSFORMS
Jesse revealed me this trick that I didn't know. It is really really useful if you like to use transformations as pre-transformations.
It is fundamental. Why?
For example, the inversion of an inversion returns tre undeformed pixel ... So you will never want to do inversions more than once. cheesy
Apply the same Mobius transform twice will give another Mobius transform, but it is unwanted! This will cause a slowdown of the computation for nothing. (Note that I said "the same". Mobius conditional transforms are a completely different thing wink )
The same applies for every possible coordinate transform (except for coord - scaling- inverse coord sequence that can give interesting effects, a "particular case").
In this mode you can do (for example) a Mobius transformation only once. This will reduce a lot the DE disturbing effect, keeping the deformation effect at 100% of its strength.
It is easy as drink water. Put the transform, or all the sequence of wanted transforms, at FIRST. Then put every formula that you like, after all the transforms.
Now, go to the first formula (for example it's in tab named "Fo.2"). Check "Repeat from here".
This allows you to calculate every IFS or Julia fractal in transformed coordinate mode.
To do the same with Mset fractals, you need a complete coordinate inversion. For now only "SphereInvC" is a complete coordinate inversion. Expect more soon. cheesy

Example of a Julia set deformed by a loxodromic Mobius transform

Mandelbulb3Dv16{
M.....S....O/...w....2....kh.mHjS7KxzarR6dqU6N1EBs.wGK6qNzvdV3MZ2r3szidJ63iGubyD
................................2akZSXdnxz1........A./..................y.2.....
................/ME//....6.e3...91....E2.....2qXM9bwBCqD/..........c./...w1/BnAH
y.EnAnYD..../2UaNaNaNaNmzAnAnAnAnAyD..................................sD...../..
.wHnAnYDw38Bl7TXXx13sfny1v64vuO4f.nr2.djiDF.DthDuq9TVGHQmrsMzkU2Hvmr2.djXNloiwB/
EunZHg0ATH.YyQtgEyawBCqD......Yv......................sD.2kz0...................
.............................UJRR4.wppN.6OLb/.mRR4.irpN.EVLb/UCSR4..............
...........................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....k....kLBxaMdJrQI/5S.IaQ....................................
...................yz..............................sz.........yD................
...sz0........yD...................sz...........................................
.....................2..........0....YYPoJqNZ756ExqRZ75.........................
8.....U/4MU/4..................E........kz1........wz.........zD..........2.....
................................................................................
................................}

I continue here my releases, to not overwhelm huh? the 1st post tease

24.0
Added an alternate commutative Barnsley. (nobody will use it but who cares? evil Merry xmas kiss )
24.1
Corrected a mistake in coding IQ-bulb, so it looks much more consistent with the "original", cheesy kept the old one but renamed
24.2
General; generalization and unification of all (or almost all) the possible bulb funcs in just one formula. Phew! This was NOT not easy but wow, a bunch of crazy things are possible now!!!
24.25
General; Adjusted, because 'recipe 2' did not take into account 'zmul' embarrass
24.28
Added to my collection _QuadrayTransform2.m3f - Jesse forgot to include it in latest release and it just disappeared from the whole internet so here it is now! wink Thanks to Lenord for giving it back! ( I lost it too!  sad )
24.3
_QuadrayTransform2 + added Scale for negative Quadray coords
24.4
MandelView (Thanks David Makin)
24.5
_GenCWarp (Thanks Aexion, Jesse and ... basically everybody grin )
24.6
_GenCWarp Added two controls to adjust the strength of the effect and/or mix C with xyz. wink
24.7
Quintic a wiki-fractal shocked Azn and a half-octahedron, hacky KIFS formula
24.8
Makin3D collection (1 to 4) now you can explore even more Makin stuff with your fave renderer wink
24.85
Makin-NSR-tri added (by the master's request A Beer Cup )
24.9
BulboxP-2 added. This formula has a strange behavior, but in some condition can be so fun! Too bad needs a very low raystep/stepwidth to work good. cry
25.0
GenCWarp fixed a bug: now value 0 for Theta-Args is correctly handled. (No more glitches. You will still see glitches if you try to choose a value out of range, and it will not be fixed btw police)
_DEComb_ISph_Plane added
25.1
OctKoch added (uncertain about something. but it's flexible so I added btw) shocked grin
25.2
DodecahedronIFS (one of the basic Sierpinski solids, it was missing for some reason) added A Beer Cup
Changed default scale to 2.63 - some details look way better
25.3
Faster version by Blob added (hack from Jesse's Icosa)
25.4
ManowarBulb added A Beer Cup - requires SSE2 but it only uses the register for storing, it's a bit slow because it does a float exponentiation btw
25.5
GnarlyIFS added A Beer Cup  - requires SSE2 too because it's derived from waveIFS...
25.6
DucksIFS added A Beer Cup  - requires SSE2 too because it's derived from waveIFS... And it's very slow, because it needs many iterations and a complicated magnitude evaluation to show up a good detail level.
25.7
Some useless stuff added... Sorry... smiley Another Beth thingy and a variant of quat
25.8
Amazing Surf added. (by Kali) implemented by me of course tongue stuck out
25.9
Torus and Knots added. (Both for dIFS) cheesy Hard enough to do those!
26.0 (Both for dIFS)
Torus updated with aspect ratio.
More funny shapes; TorusEllip + Pyram
26.1 (Both for dIFS)
PolyPyra added (flexible shape, can be used for many solids)
26.2 (Both for dIFS)
PolyPyra - added Star slider! Perfect for Christmas scenes angel angel angel
26.3 (for dIFS)
PolyFoldIFS added!
26.4 (for dIFS)
PolyFoldExIFS added! (Has a 3D z-fold included - it's slower but more powerful)
26.5 (for dIFS)
AmazingIFS added! (be careful, use few iters or your computer will melt cheesy )
26.6
Knots2 added. Ported from Knighty's formula! Many more figures are possible grin surfing
26.7
KleinBotT added. Another Klein bottle too added... cheesy wink
26.8
Added misc surfaces, some so funny...
DecoCube,QCyl,Umbrella,Quadrics
26.9
Added misc surfaces, some so funny...
Scarab, Piriform, RiemSqrt plus patched/improved existing ones
27.0
Added a new transform foldingoctIFS
27.1
Added a new transform cayley2IFS
27.2
Added new transforms, and FoldingInfy (continuous eqv. of tiling) plus the most irritating shape ever; Pen-Ngon huh?
27.3
Comma shape + added an useful option to Quadrics
27.4
foldcut shapes added, based on amazing Knighty scripts the wave plus some sphere playaround wink
Fixed Comma because it did not worked well... Don't know why. But ok :smiley
27.5
Added a test version of Apollo 3D
27.6
Added sliceIFS  cheesy
27.7
Improved sliceIFS + added sliceExIFS + loxodromeIFS the wave
27.8
Latest version of all my formulas + extras grin ... see the file
27.9
Added more misc isosurfaces. Citrus, Mitre, Cayley surface, Pseudosphere, Dini. The last two are my favourite, too bad Dini is very slow btw undecided
28.0
Removed Citrus for now (it is very buggy... I will replace it with a similar thingy) but added Devil (devil =  fiery ) grin and bugfixed Mitre (produced some unwanted "spaghetti" on high iters angry now they are a lot thinner so they will not disturb wink )
28.1
Added some surfaces. But they cause bugs on high iters; Limpet
DecoCube fixed, plus some bonus wavesp, weirdcube, toupie (it seems to work on higher iters)
28.2
Fixed some DEs and added again that Citrus Yes !!
28.3
Added boardIFS (for chess estimators  cheesy ) and SchwartzIFS surfaces
28.4
Added YinYangIFS + Loxodrome2IFS cheesy
28.5
Updated with some stuff ... cheesy
28.6
Added trans-qIFS cheesy
28.7
Made ex versions of 4D ifs like Menger, Sierpinski and MixPinski cheesy
28.8
Made _Translate + _Rotate "random" transforms cheesy
28.9 ... until 29.0
_Rotate "random" transform "fixed" - now works really as expected also with ABox. Increased max range to +-2
29.1
Tried to add a MinR thingy to AmazingIFS, don't know if it's the real thing forgive me embarrass
29.2
Fixed - now works as expected A Beer Cup
29.3
_asdamTrans added A Beer Cup
29.4
_CondLyapunov added A Beer Cup
29.5
A full set of itercount modifiers added. They are of two kinds.
Lyapunov type;
The itercount of the formulas is modified following a binary string rule. The itercount will be set 0 / 1 in simple Lyapunov switch or to two different values in the general Lyapunov.
Generic switch;
More advanced.
The itercount will be set to three different values according to a critical iteration value. This can give very unique fractal shapes. It is not easy to explain here... But believe me police
3 formulas added A Beer Cup
29.6
Fixed _sphereinv for the n-th time again to avoid navi issues embarrass
30.0
Extra formula; ABoxMod2! police
29.7
Fixed _sphereinv for the n-th time again... Sick and tired. But this was a minor issue btw.
29.8
ducksIFS added angle option, very reccomended to play with that setting cheesy
Added also missing COLOR option
29.9
Added a new HeightMap and updated other stuff afro
30.0
GnarlyIFS added color option, and 2 more gnarlyIFS!!! cheesy
30.1
GnarlyIFS minor bugfixes, + added more formulas like a standalone dodeca-folding. That Jesse never did for some reason? wink
30.2
SierpinskiFull ; full tetrahedral symmetry Sierpinski. Jesse's was not fully symmetrical. smiley In fact this works more like normal KIFS like Menger3 and Icosahedron.
30.3
SierpinskiFull added SierpHilbert style edges; disabled by default.
30.4
Reciprocal x,y,z 3 added - continuous functions so they work a lot better without DE trouble
30.5
BUGFIX ATTEMPT on RotateRnd, TranslateRnd!
Now they seem to work
30.6
Added GearIfs
30.7
ABoxMod1 DEfix!
30.8
room DIFS good for color fooling grin
30.9
Added Gear2Ifs inspired from Incendia wink
31.0
Added DiscoBallIfs - faceted empty sphere!
31.1
Added SphCageIfs "sphere made of rings" grin
31.2
Update & optimization for SphCageIfs
31.3 and .4
Added cubetubeIfs + UPDATED
31.5
Added tube versions of all platonic solids; Cube, Tetrahedron, Icosahedron.  horsie riding
31.6
Replaced Icosa default param to plot a dodecahedron not a truncated solid tongue stuck out
31.7
Added columnsIFS cheesy
31.8
Added options for style in columnsIFS cheesy
31.81
More fix in columnsIFS (to allow more styles)
31.9
Homemade optimization, applied to all gnarly and to ducks IFS to get a 5x speedup!
32.0
Added a component to optimization to get a perfect result. A Beer Cup
32.1
HeightMap2 now gets a "perfect" DE.
32.2
RoomDoorsIFS added after 3 days of work
32.3
ABoxPlatinum added. Loads of features.
32.4
ABoxPlatinum - a little 'bug' in rotatable folds was fixed, but left also the old version. A Beer Cup
33.0 After a long pause! wink
Reciprocal x,y,z 3b added - more customizable recips
33.1
Cantor, Octafull added
33.2
koch_oct added
33.3
Menger1-IFS added (Menger transform just for DIFS!)
33.4
JCube3 - approximation made by Knighty. It is an APPROXIMATION so take it as is. smiley Just don't pretend flawless details
Added also _YplusSinZ2
33.5
_invcylindrical optimized - speedup wink
33.6
I spotted a fantastic hex-grid formula and added it
http://k3dsurf.s4.bizhat.com/k3dsurf-ftopic133-0-asc-30.html
hextgridIFS
33.6
hextgrid2IFS - more classic tubey work. Azn formula by abdelhamid...
33.7
JCube3 added Gscale (test parameter)
33.8
totoricalIFS added ... Interesting to wrap difs on torus or something. wink
33.9
tritgridIFS - lame but coolish modding of hextgtid (more to come!)
34.0
New year 2013 special! A fistful of variations of tri&hextgrid added! drinking beer together
34.1
More hexagonal madness!
34.2
Improved a lot hextgrid3IFS & hexgridIFS following Knighty's concepts and scripts, now they have a lot of added functionality and possibilities for new shapes A Beer Cup

* new fmlas.zip (102.72 KB - downloaded 2923 times.)
« Last Edit: September 11, 2013, 07:02:20 PM by DarkBeam » Logged

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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #1 on: February 07, 2011, 01:03:28 PM »

... (blank post 2 for future releases)
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #2 on: December 25, 2011, 09:54:35 AM »

... (blank post 3 for future releases)
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skyzyk
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« Reply #3 on: December 25, 2011, 04:26:51 PM »

Thanks Luca and Happy Holidays  wink
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #4 on: December 25, 2011, 06:51:43 PM »

Thanks Luca and Happy Holidays  wink

 angel ty Gary
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LeonieZed
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« Reply #5 on: January 03, 2012, 11:27:56 PM »

Hey Luca,

I downloaded the new version as well as the Bulbox2 zip and several of the formulas you mention don't appear anywhere...


MandelView
24.5
_GenCWarp
24.6
_GenCWarp
24.7
Quintic
24.8
Makin3D
24.85
Makin-NSR-tri

Where do I find them?

Thanks,

Leonie
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #6 on: January 04, 2012, 10:19:52 AM »

Added the correct file, sorry Leonie and all kiss
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skyzyk
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« Reply #7 on: January 15, 2012, 05:38:06 PM »

Thank you Luca. I had to say hello. Ciao Bello.
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #8 on: January 15, 2012, 05:57:45 PM »

Thank you Luca. I had to say hello. Ciao Bello.

 A Beer Cup Gary
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bib
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« Reply #9 on: January 22, 2012, 05:58:34 PM »

Thanks for all the new IFS formulas shocked:o
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DarkBeam
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« Reply #10 on: January 22, 2012, 06:32:47 PM »

Thanks for all the new IFS formulas shocked:o

Enjoy Jeremie! Remember that PolyFolds are discontinue, pay attention to cut planes cheesy
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bib
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« Reply #11 on: January 23, 2012, 10:28:55 PM »

AmazingIFS: amazing indeed cheesy
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DarkBeam
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« Reply #12 on: January 23, 2012, 11:46:29 PM »

The same known formula, only this time you can play with any shape wink
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« Reply #13 on: January 23, 2012, 11:49:30 PM »

Just playing with amazing knots. Good fun cheesy
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skyzyk
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« Reply #14 on: January 27, 2012, 04:21:12 AM »

Luca, shouldn't that be version 26.7? The last should have been 26.5 but you wrote 25.6. Or is it me that's confused?
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