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Author Topic: Custom formulas & transforms - Release  (Read 37413 times)
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DarkBeam
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Fragments of the fractal -like the tip of it


« on: September 11, 2013, 07:00:14 PM »

Older posts here; http://www.fractalforums.com/index.php?topic=5656.msg27691#msg27691
http://www.fractalforums.com/index.php?topic=9810.0


sep 11: A new formula by Aexion added. grin
sep 13: Fixed, added a variation coeff.
sep 15: Added logspIFS.
sep 16: Added several options to logspIFS. grin
sep 17: Final revision (incompatible with prev ones! ...) of logspIFS (except for trapcolor... too bad)
sep 18: Hopf4D added
sep 26: RandCubesIFS added (a little experimental. expect variations soonish or ?)
sep 27: RandCubesIFS- added support for orbit trap colors + cylinder/cone mode (still todo: polar/inverse mode)
sep 29: RandCubesIFS- added more shapes
oct 2: RandCubesIFS- Added shape type "arc solid" - try shapetype=4
oct 4: RandCubesIFS- Added shape type "arc tubey" - try shapetype=5
oct 6: RandCubesIFS- Added shape type "rounded" - try shapetype=6
oct 7: transLogSpIFS added! And double shape type + zflight in RandCubes!
oct 8: MandyCousin3 added (from T.Gintz)
oct 9: NewMenger added (look in DIFS tab)
oct 11: NewMenger2 added (look in DIFS tab) cheesy
oct 16: TransKoch + sample parameter added cheesy
oct 25: Log+Sinh pretransforms corrected/added. cheesy
oct 27: _ngon added. cheesy and corrected other flaws in some formulas
oct 29: _ngon "fixed" for continuity, added an option and released _ngon2 wink
oct 1: added koch_surf!!! from knighty A Beer Cup
oct 2: koch_surf!!! variation can range 0-3 with different effects A Beer Cup
-------------------------------------------------------------------------------------

After a very long hiatus...

24 jan: AmazingSurf2 released (new type of fold). Please note this is subject to change (it's unoptimized)
25 jan: QuickDudley (Kerry Mitchell and "correct" versions) wink
As timemit pointed out AS2 did not take into account vary scale (that is not particularly interesting either!!!) so I dropped it but added a rotation (done just before adding C constants ) grin
28 jan: Further improvement of ASurf2. Now a lot more flexible with an additional slider.
31 jan: heartKluchIFS.
02 feb; added Mandalex (BAD DE - non solvable issue!)
03 feb; added fiddler for Mandalex; use 3 to get old (wrong) effect
05 feb; added helistairsIFS. Nastier to code than it seemed in my ideas.
09 feb; added _updateC2 cheesy
11 feb; added six new Makin formulas and added a "switch" to helistairsIFS (squarry stairs)
12 feb; added another "switch" to helistairsIFS (hanging steps grin)
14 feb; added Aexion's donut A Beer Cup
17 feb; added the amazing fantastic Tglad tetrahedral pow2 (and my lame but pretty variant)
19 feb; huge optimization for Tglad's formulas, by the way the resulting julias will come out different.
To fix this issue SWAP X & Y in the SEED and you will get the same julias again. cheesy This won't be an issue I hope in front of a 3x speed gain? wink
19 feb (part2) Added aswell dihedral versions.
25 feb; added sliders to "power" in Tglad's formulas, more flexibility but high powers disturb DE.
26 feb; added Amazing Surface, smooth fold variation + AsurfMod1
1 march;  added Quadratic3D variant with my fail-buffalo wink
6 march;  corrected Quadratic3D variant :-
9 march;  Added Mandalay-KIFS cheesy
11 march; speedup for Mandalay-KIFS cheesy (removed some superfluous instructions)
13 march; improved foldingOctIfs, more controllable/customizable effect
15 march; added two "void hmaps" for MarkJayBee & all others smiley
16 march; Added cone slider to CHM but unfortunately no room left for other sliders.
18 march; Added a sort of a Torus heightmap ... lol wink
19 march; Fixed TorusHMap, removed one extra-instruction by Jesse that was no longer needed in this formula. wink
Added Cubify slider to SphereHMVoid.
24 march; Added a FoldCut toy, weird but fun. I hope angel
25 march; Added gnarl2d 2 wink
04 april; Happy easter to everybody kiss I started to create "faster versions" of gnarlies and other less used formulas,
not always a lot faster but they save you some minutes in higher res renders indeed!
First ones, gnarl2d and gnarl2d_2...
06 april; Modified, added gnarl3d optimization
11 april; Modified, added dynamic.
2 october; added Seashell
10 october; added BenesiPine1! A Beer Cup thankssss
15 october; added BenesiPine2! A Beer Cup (EXPERIMENTAL)
16 october; added scaleC. Fixed after years (I am so sorry!!!!!! embarrass ) _flipxyzC...
26 october; added MengerSmt (smooth!) cheesy
27 october; Added a slider and improved a lot MengerSmt (two different smoothings avail!)
5 november; Added two transforms contributed by Benesi; spheric/unspheric (very cool!!!) - more transforms/stuff is under analysis and will be added soon (I hope) grin
Edit; Added his three transforms too. wink (renamed & DE option is correct now!)
07/09/2016; Added after a looooooooong hiatus CrossMenger yay
2 october; Added LoResIFS.
3 october; Modified LoResIFS; now generates symmetric shapes with a lot better appearance. Added radius too
5 october; Modified LoResIFS; BUGFIX plus added LoResT, generates torus shapes + otrapcolor plus added LoResC (cone cylinder etc)
9 october; Added LoHexIFS; using Aexion hexa-pixels. Also added cone and torus.
17 oct.; added loresmode & loresmodeIFS!!! Also added Inv.Cylindrical mode for dIFS.
19 oct.; added two new shapes to the existing formula Randcubes; at indexes 7 & 8.
20 oct.; added two new shapes to the existing formula Randcubes; at indexes 9 & 10.
21 oct.; added two new shapes to the existing formula Randcubes; at indexes 11 & 12.
22 oct.: More variations of water solid added.
26 oct.: Sphere&Cube with "legs" added.
28 oct.: Pyramid variations added.
2 nov.: Added ApolloTetraIFS.
3 nov.: Updated ApolloTetraIFS + added a sample parameter!!!
13 nov.: Added teapot! lolz
21,22 nov.: Added ScherkIFS + k-tower
24 nov.; Added EiffieQ  grin
25 nov.; Added Buddhi's etc...  grin
27 nov.; Added a extended version of Buddhi's
And MandelCup! cheesy
8 december; After lots of patient work, added _Simplex3DShift cheesy
xmas 2016;
Added murl and the fast variant tx Zueuk!
January 03, 2017; added JosKn-KleinIFS kiss tx Jos & Knighty
January 06; updated JosKn-KleinIFS - Aexion J + OtColor customizable and less erratic
January 08; updated JosKn-KleinIFS - Aexion J fixing, it works a lot better now!
January 11; updated JosKn-KleinIFS - added hexagon mode!
January 14; updated JosKn-KleinIFS - fixed & improved hexagon mode, now with real hexagons cheesy
January 18; updated JosKn-KleinIFS - see note
fix 18 january: now every tile is exactly hexagonal when Box values
are equal, the results are completely different than before though,
and some possible bugs that caused noise to appear were removed,
forcing the formula to bailout - a lot - earlier

January 19; updated JosKn-KleinIFS - old params should render normally now.
January 30; Added JosKn-ModIFS!!! cheesy
Feb 01; fixed the bug that prevented other DIFS to render after JosKn!
Feb 05; More bugfix for Josknmod, added a formula by Yannis but modified.
Feb 07; Added eiffie's car. wink
Feb 08; Added surfbox!!! wink
Feb 12; Added formula from Quasihedron
Feb 21; Added diamond, thanks Nrx at Shadertoy!
Feb 26; Added cosine power 7 (after eight years I saw the non-trig expansions for cosine bulbgrin )
Feb 27; Added four two stages mixed bulbs.
01 March; Added a lot of new formulas, experiments with unused bugman formulas combined in various ways  afro
03 March; Added heightmapLim!!! Great to create new heightmap effects. (and faster in some situations)
04 March; Autocenter feature for heightmapLim. Tiles will alwaus show at the center of the square now.
12 March; Added an experimental bulb explorer "SinePowSum" wink

* new fmlas 2o15.zip (86.55 KB - downloaded 185 times.)
« Last Edit: March 12, 2017, 06:13:51 PM by DarkBeam » Logged

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« Reply #1 on: September 12, 2013, 08:12:40 AM »


Always good to see and try another formula.    cheesy
 
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #2 on: September 13, 2013, 10:27:51 AM »

Yays!

Btw I'm not sure it's perfectly identical to Aexion's formula because I am not able to replicate his example. Very beautiful j-sets of his formula. Maybe he cheated?  wink
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« Reply #3 on: September 13, 2013, 01:57:05 PM »

Never ending formulas!!!!!!!!! 
Spiral Thingy
Thanks Luca!  afro afro afro afro
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #4 on: September 15, 2013, 01:13:49 PM »

 cheesy

I was finally able to do the log-spiral. It is super-tricky!
But I still don't know how to do a "snail" undecided


* lsp.PNG (76.45 KB, 822x707 - viewed 751 times.)
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« Reply #5 on: September 15, 2013, 01:24:18 PM »

Yays!

Btw I'm not sure it's perfectly identical to Aexion's formula because I am not able to replicate his example. Very beautiful j-sets of his formula. Maybe he cheated?  wink
Me, Cheating!! very surprised

Here is a little code snipped (returns true if you're in the set, false if you're not), use 50 iterations:
Code:
bool TheOctopus(double x, double y, double z,int miter){
double nx,ny,nz;
for(int Counter=0;Counter<miter;Counter++){
nx=-(1.25*x*z-0.3075);
ny=-(x*x-z*z-0.3);
nz=y;
x=nx;//fabs(nx)
y=ny;//fabs(ny)
z=nz;//fabs(nz)
if ((x*x+z*z+y*y)>10) return false;
}
return true;
}


The absolute values for nx,ny and nz (the fabs() ) shows a different variation of the set for each combination. You can use just one (for example, x=nx,y=ny and z=fabs(nz) ) or two of them (x=fabs(nx),y=fabs(ny),z=nz) or all three.

Hope to see your renders..  grin
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #6 on: September 15, 2013, 04:24:49 PM »

The results are the same, no matter which bailout/iters I use I cannot see your beautiful octopus, but those thingies that are nice but ... huh?

I changed the signs of x2-z2, and xz, in four ways but nothing gives me the set for julia coords = (0.3075;0.3;0)

For jcoords = (-0.3075;0.3;0) etc. I get again those 4 variations fiery

See the pics! embarrass


* aexion-4.PNG (221.82 KB, 1278x319 - viewed 764 times.)
« Last Edit: September 15, 2013, 04:28:02 PM by DarkBeam » Logged

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« Reply #7 on: September 16, 2013, 10:23:53 AM »

The results are the same, no matter which bailout/iters I use I cannot see your beautiful octopus, but those thingies that are nice but ... huh?

I changed the signs of x2-z2, and xz, in four ways but nothing gives me the set for julia coords = (0.3075;0.3;0)

For jcoords = (-0.3075;0.3;0) etc. I get again those 4 variations fiery

See the pics! embarrass

I think that the second one is, because looks like a fat version of the octopus.. The reason of not seeing it, is the DE, because I'm using a simple bailout schema.. Put it on a DE diet and you will get the right shape. cheesy

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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #8 on: September 16, 2013, 01:06:56 PM »

I can not change bailout stuff; so it will remain like that. A Beer Cup A Beer Cup A Beer Cup Thanks Ramiro
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« Reply #9 on: September 16, 2013, 06:10:02 PM »

One of the most valuable members are back.
« Last Edit: September 17, 2013, 04:46:41 AM by Nahee_Enterprises » Logged

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« Reply #10 on: September 17, 2013, 01:38:35 PM »

simply thank you DarkBeam ERICR
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« Reply #11 on: September 17, 2013, 08:41:44 PM »

Great to see you back in the forums Luca!!  A Beer Cup A Beer Cup A Beer Cup A Beer Cup Sponge Bob looney
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« Reply #12 on: September 18, 2013, 02:36:47 PM »

many many thanks luca ..looks like fun cheesy
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #13 on: September 18, 2013, 05:12:20 PM »

 embarrass embarrass Stop cheering thanks grin
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« Reply #14 on: September 28, 2013, 08:18:07 PM »

Is there any chance of a CubeHeightMap?
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