I’ve uploaded a new version of jlb.ucl with three new coloring formulas.
Decomposition2 is a generalization of Decomposition in dmj.ucl, by Damien Jones. It colors by the angles of #z, or of one of various functions of #z, at each iteration.
Statistics2 is a generalization of Statistics in lkm.ucl, by Kerry Mitchell. It colors by various statistics of #z, or of one of various functions of #z, at each iteration.
Disk is inspired by mt-disk-plasma in mt.ucl, by Mark Townsend. It colors by whether #z, or of one of various functions of #z, is inside or outside a circle at each iteration.
The following is an illustrative multi-layer upr. Each layer is independent, so look at one at a time. Each layer has the same formula (Newton in Standard.ufm with the default parameters), and the same gradient (the default one). There are many parameters, so experiment.
NewColorings {
::NM0U/gn2tjZTvtJMYc87RKfHsYX6m0SwkANdT+yUVl60W3hpdG5CGwtGbG2ZpJf63jxEC992
cYSrkIFFM2+xPv8j/m4saaihK+04RIkhbEMi3FsVoElQVzl5aP0Keqpgsw3HVw45FGSEcpgu
mVrJnYnWSNLlb0EvvyLRfRsk95op4opB+BYPEVa4UBnqBjRWz0jH1M1m1LhWZ4KJx7UWiqsS
p52mBeIVFNhbWTwwKVyMFqUS5ShhXR1gBKpVVg1cmgJNsai/UYg0cJBPeUmqGGMtp7S6Ncb/
WDlxFMJtECwfaoyUad6klZleIwC1rbiajS6hqirwkZg9qih5N13amq4Lpchaph4PxH+ArCXq
5pMXarmK1ZwqIVSGSrE8Uy8gFhzjmHec04Rw8u/YFcJjW3zpuSc5klJiO/5O5Enb8HIpbzYB
Y/IMGuxm0NkkCqMnBNy2Q2gyizIJK5VQbq1/hfNrrYEKMXaOzZHtqkFTFCi9CodhaVJVaT42
ON0aDJoZY2YRqGPKvmmyBPzl0Vllw1arTmRhCD6XCIwQn5YJ02BPxDpLVKgegCPiLTZ3Q8dG
AoLyijxRBLW02htE5uPOCHgXEG22RQXHzjCPBbnvrjZ7mRoNN7gmGPsdZlqtraHSFEG+8II6
o0yrsVj3PMZxdO1jBkeDBkgrvG9RkL7ie3epLBlogw3giTQqx7e6ROvxKJtxpG5d2R0PsBeI
yKKVrWKT7pKtdLGy3V2bXzS4VudIQNhXjAEs3CTG3mNtITVcavnzqi5yYbofurIB5HSwkQnJ
6L71XzD++wSe4Bmk3t5b8B++1y3udbZ3U9CwaHT3u97/AsegT1t19Dy27NWr/d9Dh1efjqNo
zhMAt9FBQdYOUmaiwJBhPPl7mYLo/j2yll0xvcIv9xpDc+B579mzzE8nV/eLY/Klv7T1+Pt6
9d+jYBD1/HGwXGu2wT0DJhbVe3QPeRwsZR3yFvLe3PH9InLwOVcusHcvqgnU8wvwNQbmG40b
L+cKHoLrZ9eyTMwvvIc4QlWRHJuucvPyg/fx2deUb835M6uczWIFAELgZDSuZZju4OqLrFDS
7ouBA/cBktHq8yjcITNl23c1+/iBFLol
}