You might want to try finer render settings (Tab Calculation in the main window):
Mandelbulb3Dv18{
g.....s/...c3...w....IU...EnNUg3WBtszMBWa3XMHCyDFnutcFzFuzH5e7QkeZhuzUfulZVMHCyD
................................ihDiBSk0652........B./..................C/2...wD
...Uz6.....C..../M.3/.....UJ4...v6....E3.....6loKsb0yULD/..........m/dkpXm1....U
z.U0LDOD12..02UaNaNaNaFszoAnAnAnAnyjnAnAnAnAly9...........U0.....y1...sD...../..
.zXaNadD4gpeapv81qHgSiYe6EhPxaCNA.AvPZLjOqvnPvUdapPZWi7Ac8jVxOI/xrCtAKKD4yqLQjXP
vpfh.R7r.XAFxqPUZDRUmDMjU.....IM5.............sD.6....sD..G.....................
.............oAnAt1...sD....zw1.........................................x....k1.
.....Ksulz1.......kzAwzzz1.U..6.P....M1...EB....3/yd362..U.5....9/...I1.....KEz0
...U.ypLTxDk.1wzBoE1z5G6V.6.0c..kPBh..EbG7eFT5wj6A72QifFDz1...........U.8.kxQe2.
.wUmc2beYz1.dA8E5Exwz0........../EU0.wzzz1...........s/...................E.2c..
zzzz.............0........E..........2./8.kzzzD............8....................
/EU0.wzzz1...................................Ubgb1.SmSytr4kp0b7.YDNMonWKNfSy.6ht
rTjBONPvj0EyWGOyNt3xge8.s7vtbnfTPOPi.gdhtaP/z/Ak.1.k.1AkXxrhK9D.oCRwl1wTvivi.AtY
HCd2.Wbgb1.SmSyt...y3q/bzz/k.1Akyz1yATomxzpaqaff................................
E....2..F2E.....I....U....EEh3aSdtqNUAJRmN4...........................k/.MU/4.U.
...........aNaNaNaxyzoAnAnAnAjwjZNaNaNa/uz1......Ux2./......r82E......Uck.2.....
...Yz0..........................................................................
........................}
Or to isolate the 'face' you can change the Far plane in the navi-widow:
Mandelbulb3Dv18{
g.....s/...c3...w....IU...U7MFy3WBtsz2IRbdVMHCyD61B/dFzFuzHCjTQkeZhuzcTf4bVMHCyD
................................X8dFfeYzE52........B./..................C/2...wD
...Uz6....E4..../M.3/.....E.0...17....E3.....Q5eIFcIa2LD/..........m/dkpXm1....U
z.U0LDOD12..02UaNaNaNaFszoAnAnAnAnyjnAnAnAnAly9...........U0.....y1...sD...../..
.zXaNadDJV/hCnv5fpnzk5Q68wQJxyt91T5Yk5KjISqFzEP/EpviN3.PYj1QxKqCYCXaxtIDTSvUcUvN
Xp9cSnmPLUK9xmAiJphxskKjU.....2E0.............sD.6....sD..G.....................
.............oAnAt1...sD....zw1.........................................x....k1.
.....Ksulz1.......kzAwzzz1.U..6.P....M1...EB....3/yd362..U.5....9/...I1.....KEz0
...U.ypLTxDk.1wzBoE1z5G6V.6.0c..kPBh..EbG7eFT5wj6A72QifFDz1...........U.8.kxQe2.
.wUmc2beYz1.dA8E5Exwz0........../EU0.wzzz1...........s/...................E.2c..
zzzz.............0........E..........2./8.kzzzD............8....................
/EU0.wzzz1...................................Ubgb1.SmSytr4kp0b7.YDNMonWKNfSy.6ht
rTjBONPvj0EyWGOyNt3xge8.s7vtbnfTPOPi.gdhtaP/z/Ak.1.k.1AkXxrhK9D.oCRwl1wTvivi.AtY
HCd2.Wbgb1.SmSyt...y3q/bzz/k.1Akyz1yATomxzpaqaff................................
E....2..F2E.....I....U....EEh3aSdtqNUAJRmN4...........................k/.MU/4.U.
...........aNaNaNaxyzoAnAnAnAjwjZNaNaNa/uz1......Ux2./......r82E......Uck.2.....
...Yz0..........................................................................
........................}
Hope this is what you were looking for