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Hey Darkbeam!
I've attached the fragmentarium shaders. You have to rename them to .frag instead of .txt.
Anyway, here is an image:

This is freaking awesome, congrats

Exactly, which is the shader you rendered?

Muchas gracias Kali!! Este es un muy buen foro.
Por cierto, aunque no soy español, llevo ya viviendo mas de una decada en España!
Espero que te guste Incendia (no quemes nada! )
Saludos desde Cordoba
ps. I will speak in english, I promise, I was just answering in spanish to Kali

The posted picture is very nice. Who would've thought pentagonal faces could emerge from 12-dimensional square boxes?
It's frustrating working with 4+ dimensional functions because it's hard to predict what's going to happen...
 

Thanks Knighty, for your answer on the Jacobian method.

I'm already familiar with the 'Hypercomplex Iterations' book - most of it is beyond me, but it seems to me they end using a formal derivative (defined iterativately - see e.g. p 56), which is a 4-component quantity for the quaternion systems, and I'd expect it to be same for other 4-component numbers.

Like you, I also tried to generalize something of the form "r*ln(r)/dr". I ended up with a scalar 'dr', because I was not sure how to multiply quadray numbers, but your Jacobian method works better anyway :-)

before that, a tweak with Lucas _PolyFolding and _UpdateC as pre-pretransforms... i like the 2 bulbs on the z axis this way:

Beautiful render is that one!! I like it!!

 

Bicomplex Julia (some interfering sets) - isn't it cool? Quadray mode enhances a lot the bicomplex formula

Mandelbulb3Dv16{
O....Es....V1...Y..........2rXaBRoe0.Paa6W47ro1EHyT5CtWpUy9XhxEcNLGkzqQ.FKZ2A9uj
................................yC2UA3yxpz1......Usk./..................y.2.....
................/M.00....6.T3...60....E2.....wwcfrzyAlpD/..........c./...w1....U
z.EnAnQD1E../2EVf53iSIswzcNaNaNaNavDY0LD8QxcUz9..................y1...sD...../..
.w1...IE4yOZIRl95unO6UcJLwmVywW6gYzyAlpDHaIyouKDOx99CT.f7EHFzKu9VOfDiscDnoQpoa.B
3xHnT0ghipXKzieMUdJATabD......oX0.....................sD.2kz0...................
..............................MRS4.4qtN.kObb/UoRS4.srtN.sVbb/.FSS4..............
................E.....Ak.1.U.M6......c0...EB....70...6/...Uyzzzz6....EXz...oXl22
...mHwdel0A9le3kTeOg.ToMK81.3c..zzzz.Q6Fbf24LNvD5Got8VlJaz1...........k.8.klLS4.
Mo0FIhT67.A4hE2Jv5G0.1..........22.3vHSwl1EmZOxSfJ7zzUMqleHQhszDDOoz6DuFoy1/Gc.z
zzzz.UyriyqJ3nzDqwlf0WigyzHRUbsUnBIgzIW24dzzzzD.7aDex53nqzHVKH7bON3..N0RYP/mgmzj
/6U0.wzzz1....................................Ak.1EHVM/.iF.U.06.B3W3.gA0.1Ak.UqH
b..yEs6Ul/kF.V1.fH/U.06.B3W3.wl6/5wz.oI6K.UIr.Ak.1EHVM/.VLJrRzD.B3W3.2uKtXzr.oI6
K.Eyz/6U.0EHVM/....crI0.zzFoTu2.yzngi84.xzZX.45..ooFT3XAt2X98/pF................
E....6....E.....I....2....kLFJLMY7LMtFZQVtqQaxaQh71...................k/........
...................wz0........yD................................................
................................................................................
.....................A.....3..../....oIMiFKNgF1F0ZqE............................
........06U..........cNaNaNaNaxj.....................AnAnAnAnAxDnAnAnAnAHz1.....
................................................................................
................................}