Finally fixed IQ-bulb!

[DarkBeam]

 

Finally I found the errors I made in IQ bulb. Now it finally looks right. Not jet uploaded the formula itself, a matter of minutes

The main difference in IQ is the poles orientation... Hoping that is not due again to my mistakes... Sorry sorry

EDIT: No, it's mainly due to the different axis definition, IQ uses z-x angles. I hope!

[DarkBeam]

IFS tessellation samples (two trees and two dragons)

[bib]

IFS_tess is really funky, but...how would you get rid of this noise?

Mandelbulb3Dv16{
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................................Q5JiSX4NYz1........Y./..................C/2.....
................/M../....6US1...g/...2E2.....o5XMjrPkhqD/..........c./...w1....U
z.EnAnQD..../..........wz........................................y1...sD...../..
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.....................UbUl/../...i1...Q9...EB....v2...UB..../....p....A3q...hK126
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E....6....E.....I....Y....kL7NoITFLNnB5.rJaQ..................................U.
0..................................................wz........UzD........kz1.....
.............Y2E........6.2.....................................................
.....................2.....3....5....oINiRKNmZYFH/EG4B3.........................
.....MU/4MU/4................U.E........kz1........wz.........yD................
..........................................................2........wz...........
................................}

[Jesse]

The noise on the outside can be reduced with a higher "Min. iterations" count, i used 12 (normally you choose a value below the average count in the statistics menu, but 12 seems to work ok here).
A problem are the cut surfaces, if everything fails you try the "Normals on Zbuffer" function in the postprocessings.  Did this in attached pic.

I changed some other parameters for a faster rendering on my laptop, you can change them again:

Mandelbulb3Dv16{
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................................Q5JiSX4NYz1........Y./..................C/2.....
................/ME/A....6Ey....v/...2E2.....o5XMjrPkhqD/..........c./...w1....U
z.EnAnYD..../..........wz........................................y1...sD...../..
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ZxvAp/VTL2LFzebnvhF5xypj......2U0.....................sD.2kz....................
..............................LRQ8.0qld.UO5b0UnRQ8.orld.cV5b0.ESQ8..............
.....................UbUl/../...Y/...Q9...EB....v2...UB..../....p....A3q...hK126
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NaNk.UF92FpyVY.koZmc.R.pnz9..........2U.8.kzzzD.................................
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E....6....E.....I....Y....kL7NoITFLNnB5.rJaQ..................................U.
0..................................................wz........UzD........kz1.....
.............E2E........6.2.....................................................
.....................2.....3....5....oINiRKNmZYFH/EG4B3.........................
.....MU/4....................U.E........kz1........wz.........yD................
..........................................................2........wz...........
................................}

 

[bib]

Thanks Jesse, but obviously there is some remaining noise here. Is that a problem with the formula itself?

[Jesse]

This is a problem of many formulas or hybrids, a conditional change in the vector that does not confirm some rules, can introduce steps in the DE function.*  Maybe some rendering methods can handle this better, but i am not that mathematic genius.
 
*add: for example the formula should take care that two nearby points stays in nearly the same distance after one iteration (just following the normal scaling function of the formula).  So you can do a conditional folding savely, if the folding point stays connected.  On the other hand, if the point without folding and a nearby point with folding disappeared from each other after that iteration, the distance estimate would be very low (with a DE based on the vectorlength gradient), creating a noise pixel at that folding plane.  That should be the main problem in this case.

[DarkBeam]

Barnsley and this formula share this "direct cut" method. Allows to get great images but raw cuts cause troubles I am so sorry of that 

[DarkBeam]

I am testing something new with the new coord programmable transformation, that gives a great number of variations of Mandelbulb, too bad power 2 is shitty but higher powers with small percentages of stuff look interesting (unstable and slow, but interesting... ).

Mandelbulb3Dv16{
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z.EnAnYD..../..........wz........................................y1...sD...../..
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..............................LRR4.0qpN.UOLb/UnRR4.orpN.cVLb/.ESR4..............
.....................wzzz1.U..6.P....M4...EB....W....61....F....8/...I1....UJl22
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zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1...................................2CcN/UvNP6.eeWCNq0.yRii.EJJUk1f..XR
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E....6....E.....I....Q....kLXxqPmFaRn/rPr/UQ.........................6..06U.06..
..................EK./......../E.............................Y2k................
..EC.1..........................................................................
.....................2.....3....1....wJMYFqE....................................
..............................zD........kz1........wz...........................
................................................................................
................................}

FEEDBACK NEEDED

[Jesse]

Looks interesting, some general hints for the formula generation:
If you got a double power or scale in the formula, please put it in the first place of all user values.
If there is no fixed power, the program looks in the first place for a value to calculate something out of it.
And normally the .DEoption should be 0 for a 3d power or scale formula, but you might have noticed too that the rendering becomes ill posed because the DE's are not good (you can always verify this by choosing a value of 11 for example for DEstop and then you should get a 10 pixel bigger radius for the structures on a 1:1 scale and with a VaryDEstopOnZ).
Dunno the reason for it and how it could be fixed though...

Nevertheless keep on going, recently i had time to give some of your plenty formulas a try and had really some nice results and fun with it!

[DarkBeam]

Hemmm thankies! :-D
I am wondering about a poly formula with terms from z8 to the constant.
It would be absolutely interesting, also adding mixed z_c terms but dunno if there are enough rooms for the vars

[tomot]

Beware: highly non-technical response.
 
1. Zooming out, to its pure form, it looks like a small deposit left by the Easter bunny. 
(Happy Easter!)
2. The formula is indeed quite slow. I can hear a light sucking sound coming from my quad core CPU.
3. I'm Pleasantly surprised: tried a few Adds, appears to contain some very nice organic fractals, for generating interesting future painting subject matter.

 

[Lee Oliver]

IFS_tess is really funky, but...how would you get rid of this noise?

This problem may or may not have been absolved yet, but I took a crack at it and got rid of a lot the noise.
I hope this helps

Mandelbulb3Dv16{
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QvM93P58izPZKWugHVQxz0...........2X0.wzzz1.xk4smd5DxzY3yFGmnCfyD..........E.0c..
zzzz.................................2U.8.kzzzD.................................
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0..................................................wz........UzD........kz1.....
.............E0E........kz1.....................................................
.....................I.....3....5....oINiRKNmZYFH/..7NoI........................
.....MU/4MU/4................U.E........kz1........wz.........yD................
........................................................Uz1........sz0..........
................................}

[DarkBeam]

Beware: highly non-technical response.
 
1. Zooming out, to its pure form, it looks like a small deposit left by the Easter bunny. 
(Happy Easter!)
2. The formula is indeed quite slow. I can hear a light sucking sound coming from my quad core CPU.
3. I'm Pleasantly surprised: tried a few Adds, appears to contain some very nice organic fractals, for generating interesting future painting subject matter.

 

Thanks for the feedback, it needs some refinement and probably the 3D sine formula, that is hard to write 

Luca

[DarkBeam]

Sample render. The main problem of Exp() is that tends to introduce some "ghost structures" and disconnected islands, that sometimes doesn't look good

(the branch discontinuity is due to cylindric distortion)


Mandelbulb3Dv16{
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................................................................................
................................}

[DarkBeam]