Transforming -tospherical and -invspherical gives back undeformed space. Too bad -invspherical and -tospherical not works so, only a quadrant will be restored undeformed. This problem is shared with UF mappings so this is a known problem.
This is a test of coord warping in this "sphere reversed" space; fractal exists only in a spheric quadrant but what an effect
(colors and stuff are discarded, to encourage testing
Mandelbulb3Dv16{
M.....E/....2...w....2....kvsACbwInszy6Q03bye5.Ez.lzg2hvLz1WIM/NZURtzcTmIEmt2mxj
................................m6LAOMNst.2........A./..................y.2.....
................/ME//....6Uq5...H/....E2......KaJSSxX1lD/MEZwIxD...E/dNaNu1....U
z.EnAnQD..../..........wz.............................................sD...../..
.wHnAnQDwBbJiv3aZwXfnVNQc5i/z88rU3ow2PjjmLaAFLvW7w1yjoSSRAu6zMbcIbnXt5lDgfDxmVYQ
tunBDYZ9rah2zCYBDTYpnFmD......Yh9...vC................sD..E.0...................
.............................UJRR4.uppN.sNLb/UkRR4.arpN.cULb/U9SR4..............
................0..........R..6.l/...61....D....8....k1....B....c....E31..EnQF12
...U.08cUyDcU0uzU08cz18cU06.mc..zzzz.g5MarH7iXyDWra4dabdnz1..........2k.8.kXWF1.
QvM93P58iz9GMmnWK2zwz0..........V2V0.6oKp/U.0PJWp1PyzEmYEkti4xvD..........E.Gc..
mcV0.MxuvBTuCfujKjySnbiney9..........2l28oTITs/...........Um3yuedc8tz42Ra9hwxv.k
/6V0z5FAZ............oklrlkCx9yjW9wTJHz2Vz1...8cU0.cU08.zz/cU08.U08c.szDU08c..8c
U0EzT/8cU0.cU08.Qs5cU08.U08c..bTU08c..8cU0.ly/8cU0.cU08.Mw5cU08.U08c.kqTU08c..8c
U0.kz/8cU0.cU08....cU08.zz/cU08.yz1cU08.xz3cU08.................................
E....I....E.....I.........kLdtaRn/5OZ7LOX34P.........................c..........
...................6./..........................................................
................................................................................
.....................2.....3....2....wpIX34PdtqNklKRn/..........................
.....k.1......................zD........6.2........../........zD................
................................................................................
................................/....E/.........TFrPn/5OZ7LOX34P................
..........U0............................U.2.....................................
................................................................................
..........................................E.....I....2....kL/7qQO/UPbxoMo/......
...................................................sz...........................
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.....................................................61.........0....YYPoJqNZ756
ExqRZ75.........................8.............................0E........kz9.....
................................................................................
................................................................}