Oh I didn't understood that you wanted happy faces, sorry!
I was just testing Luca's implementation of Ducks formula into Mandelbulb 3D, and found this sort of happy chicken!
Mandelbulb3Dv16{
N.....S....O/...Y/...2....Ef9ABQ824YzS.XwTGlKPxDzBB6HD6vcy90RKdzLTmgzaCwEDddq5sD
................................yzPYLrlAY/2........6./..................y.2.....
................/ME//....6............E2.....IEdH7frOnjD/..........c./...w1/...U
z.....kD..../2EsuFVf53imzcNaNaNaNayj.............................y1...sD...../..
.w1...sDQx9BKtwLsv1eSOwiGvdvyC9L.u2Ho.gDQzJ/jNdtfvXgh9otcBrxywSXPnGT29iDalVvv50U
Ov9w4OHkHcwqy4p0SGj2qgjD......Y7......................sD..kz....................
..............................LRR6.0qpV.UOL50UnRR6.orpV.cVL50.ESR6..............
.....................wzzz1.U..6.P....k1...EB....L....c3...kB....8/...I1....UOl22
...U.eoZgzjdqZpz8R7vzPeRN/6.0c..zzzz............5wyBIC4OWz1..........IF2m2UhNC2.
G1sfGXWAWz9hfcoeQ0Y3.nA1kwdtbXrj/6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1....................................6EU.......zz/6FG1.tANU.szD/PX5..gS
q/EzTNie31kzE0A.Qs5U./0.......bT.026.......ly/6EU.......Mw5U./0......kqT.026....
...kz/6EU..........U./0.zz/6FG1.yzHkqs/.xzZteKA.................................
E....A....E.....I....2....kL/7qQN/UPbxoMo/UQ..........................k/9.......
..........E91lluWPX4z0........zj................................................
................................................................................
.....................2.....3....1....wJMYFqE....................................
..............................zD........kz1........wz...........................
................................................................................
................................/....E/.........TloPbF1F........................
........................................U.2.....................................
................................................................................
............................................}