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Hyperbolic Menger

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This is a Menger sponge, with an essential modification; before each passage I have done a conditional sphere inversion centered in each cube face (radius = 1), so this is an hyperbolic geometry fractal or the hyp equivalent of Menger! :woohoo: (each face shows a circle-inverted square... but the resulting fractal is very intricate so it can't be clearly seen)

Param to play a bit (take the new optimized formula version cause it is faster now!)


Mandelbulb3Dv17{
P....Es....V1...w....2....k42uDGWJ/0.rq/stMDUj1EztvT2x.Vdyv5UEPGCIwmzy8xjYDuzZuj
................................3Ztc6r3Ssz1........Y./..................y.2.....
................/ME//....6EE0...a1....E2.....2XnxY8DcZpD/..........c./...w1....U
z.EnAnQD32../..........wz..................................2.....y1...sD...../..
.w1...sDTcnwcffxFxnCHTr5ExKTy8GLm5adr5pjIxWHjACO7xvY3tFNRPTIzAYeEpNUcZoj/WvDXACO
7xXeKYot1STIzkYqCVeeaZoD......ok1.............kD.2....sD..kz0...................
.............................UTRU4.Yq/O.cQ5c/.wRU4.Ks/O.kX5c/UMSU4..............
................2....wzzz1UX..6.E....M9....O..../1...I2...EC....c....E31..EnQF32
...U.0...wzzzzzz....z1...06.1c..zzzz.cQVjiO8eGyDBQwRAgHzGz1...........k.8.kXWF1.
QvM93P58iz9GMmnWK2zwz0..........V2V0.6oKp/U.0PJWp1PyzEmYEkti4xvD..........E.Gc..
mcV0.MxuvBTuCfujKjySnbiney9..........2l28oTITs/...........Um3yuedc8tz42Ra9hwxv.k
/6V0z5FAZ............oklrlkCx9yjW9wTJHz2Vz1...uBZ.EHVM/.RnFoTu2.cxo7..X7k/8w.g5P
D/kBlt6Ul/kF.V1.hx5crI0.B3W3.AtTUSH7.oI6K..vz/uBZ.EHVM/.5.6crI0.B3W3.2/UUSH7.oI6
K.k2.0uBZ.EHVM/....crI0.zzFoTu2.yzngi84.xzZX.45.................................
E....A....E.....I.........kL4x4PYZaPbxoMo/UQ.........................c..........
...................6./........zj........kz1........wz.........zD................
................................................................................
.....................2.....3....3....wpQkVKNmJKOiN5.............................
.....6U/4MU/4.................zj..............................zD........kz1.....
................................................................................
................................/....E/...U0....BJaPbJaQn.UPq/..................
................4MU/4MU/................6.2........wz.........zD........kz1.....
................................................................................
............................................}
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© 2011 - 2021 dark-beam
Comments7
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bib993's avatar
I definitely have to try your latest formulas
dark-beam's avatar
Yes please, do :D :D
MarkJayBee's avatar
Nice one Luca, and thanks for the params! :clap:_:thumbsup:
Used your technique here: [link] hope you approve?!:O_o:
dark-beam's avatar
Of course I approve :lol: :wave:
Don64738's avatar
I love it and it contrasts so well on a blue background!
dark-beam's avatar
Oh thanks a lot, there is much to explore on this field, those renders are more illustrative than artistic :boogie:
Don64738's avatar
You're welcome for sure!
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