The formula needed some fixing so I also added a new option, taken from Olivier Steiger's Barnsley for Ultra Fractal. His formula has many other options but this is the most interesting because it simulates fractal trees and a lot of new beautiful curves including Koch curve and his variations.
See the release topic for more info
These are the parameters for the awesome tree of life (high detail, and only 25 iterations, because 25 iters already give very good renders):
Mandelbulb3Dv16{
N.....E/....2...N.........UWcfk4QOt1.9TcsMrZNA3E2TBHmZUgkwXha1arX/3fzAl/XP6JVF.E
................................SXZ196fAYz1........5./..................y.2.....
................/ME//....6Ex....u1....E2......R9KMcaYKqD/..........c./...w1.8Qx6
w.....kD..../2UNaNaNaNavz........UyD.............................y1...sD...../..
.w1...sD2NKF2e7dZx1..........ErbweAru4djTPDwZWSShtXCCTjfYiGNzMMk4t1ex5oDMlfKHKwJ
FunEPYwDcqTEzO29lo8dfIqD......2V0.....................sD..kz0...................
..............................LRR4.0qpN.UOLb/UnRR4.orpN.cVLb/.ESR4..............
................1....kXEY.EM.Q0.n/...E0....F....T/...Q/....C....y....IHB...UJp2Q
wc1U.OPkKnHkvueEjTymYgSs016.Yc..2Xvb.w20.p4HE3yj5Got8VlJqy1...........kA8..Mel4.
YA72QifFzynKilEhAIrpz............AX0.UJMd/ENnp0CG3AszgZPAI91pRxD............Xc..
j.1G.w20.p4HE3yDtodIWOorVy1..........IF686UBlI0.Bhcl.9Fmbz9O8vUP3SxZz2iIrqxXSY.E
J2W0zPW7p..Y4KbH8nJuzO5x4gVlBFsjs9wsy6v09z9..A5RL/EQkd4.xilzM19.Et2I..v9zh6E.2ud
x/ECxsfdb0k5Pg/.8L2ZuB4.JNIC.AhHoi7X..2Dv.koMBpVT/EABR1.92actO9.xtud.Y9QtNLU.MHB
q.EMsFbIO/.Bdg0....crI0.zzFoTu2.yznAnA1.xzpDs61.................................
E....2....E.....I....U....UEV7bPnlKNtF1FiB4..................................6U.
...................wz...........................................................
...wz...........................................................................
........................}
The fractures in the surfaces are NOT a bug, because they appear also in the UF Barnsley AND they not disappear if you increase the detail level. Take them as a "side effect" of the escape-time approximation, maybe...
Take this as a good platform for more experiments