MLbrot

base

MLbrot is a software allowing to zoom inside the Mandelbrot set, producing nice coloured fractals.

The current distributed version is 1.01 (released 2014-03-26).

Has been tested UNIX machines. Perhaps work in Mac and Windows, but not tested.

The program is written in OCaml. You also need Camlp5.

Download the sources.

README
LICENSE
CHANGES

The images below are screen copies of fractals, and the videos are series of images made with MLbrot
(actually with a new version not yet available).



This is one of the videos made by MLbrot. All videos are visible on YouTube.


Miscellaneous images. Click to enlarge:

ex48
level 45 magn 7.03859e+12 time 32.9s
0.479956765156684839
-8.56541042631411148e-4i formula z^4+c
nb col 352 sat 144 bri 224
ex49
level 118 magn 6.64776e+34
0.6253619965985965738075177894187058427119 +
0.6974897641057878182119556759764235735947i
formula z^3+c
ex50
level 152 magn 1.14208e+45
-0.1572085784091543254580459277575333624411497493583
-1.040712003343331041937504655290016642044134821603i
ex16
magn = 1.75922e+12 sat = 128/255
center pos =
0.2573966805288046+
0.0010307942362857148i
ex17
magn = 1.75922e+12 sat = 128/255
center pos =
0.13837128070303309+
0.6722240001209876i
ex18
magn = 8.7961e+11 sat = 128/255
center pos =
0.13673770625187232+
0.67188621484446265i
ex19
magn = 209715 sat = 160/255
center pos =
0.051562518800230391+
0.6590551258405255i
ex20
magn = 8.58993e+08 sat = 144/255
center pos =
0.051807683082623616+
0.65980190084251211i
ex21
magn = 8.79608e+11 sat = 160/255
center pos =
0.051561070345944031+
0.6590553433194839i
ex22
magn = 3.51843e+12 sat = 192/255
center pos =
0.05156216075289443+
0.65905636537579171i
ex23
magn = 1.75922e+12 sat = 208/255
center pos =
0.05037814197950187+
0.65915794071768752i
ex24
magn = 2.81474e+13 sat = 144/255
center pos =
0.050378101353792892+
0.65915802908118104i
ex25
magn = 1.40737e+13 sat = 128/255
center pos =
-0.92217709806605375+
0.31045464245106946i
ex26
magn = 3.43597e+09 sat = 128/255
center pos =
-0.23801075977933789+
0.8302029618021568i
ex27
magn = 7.03687e+12 sat = 208/255
center pos =
-1.3736152551062155+
0.082470942558892021i
ex28
magn = 2.68435e+07 sat = 160/255
center pos =
-0.0320291771243016+
0.6541748113309342i
ex29
magn = 4.39804e+11 sat = 128/255
center pos =
0.3468551805864482+
0.5554113832577965i
ex30
magn = 4.39805e+11 sat = 128/255
center pos =
0.3960794019391168+
0.1341701405739807i
ex31
magn = 3.51843e+12 sat = 128/255
center pos =
0.3819578723167567+
-0.1704128163069616i
ex32
magn = 1.34218e+07 sat = 144/255
center pos =
-0.1707397891829411+
1.089699255178372i
ex33
magn = 1.07374e+08 sat = 128/255
center pos =
-0.1593614975111753+
0.8960171022627037i
ex34
magn = 5.49756e+10 sat = 128/255
center pos =
-0.05715907773883373+
0.8801916739838969i
ex35
sat = 128/255 bri = 208/255
magn = 1.74804e+08 center pos =
0.4510817593963353+
0.4065297053870643i
ex36
sat = 128/255 bri = 224/255
magn = 1.29807e+32
center pos = -1.4947454946763994436267
26274724118743 + 7.6014503690807972792
91920265027356287e-5i
ex37
level 133 magn 2.1778e+39
center pos = 1.007943617378239971212452
296493178407968400221e-3 - 0.795098004
6665278646073559812883073458560477429i
nb_it 4978 nb col 352 sat 128 bri 224
ex38
level 176 magn 1.91561e+52
center pos = 1.007943617378239971212452
29649317840796348121060259271961e-3 - 0.7
9509800466652786460735598128830734585604
4711639315775321i
nb_it 6383 nb col 352 sat 160 bri 224
ex39
formula z3+c
level 40 magn 2.19902e+11
center pos = 0.06983229815430603 +
1.191834835640524i
nb_it 2187 nb col 352 sat 128 bri 224
ex40
level 200 magn 3.42813e+59 time 6647s
center pos = 1.007943617378239971212452
296493178407963481210602593079829476830
399999e-3 - 0.7950980046665278646073559
812883073458560447116393157752879085480
599998i
nb col 352 sat 176 bri 224
ex41
level 60 magn 2.30584e+17 time 1795s
0.65610738486498658283031 +
0.58525809258362243967151i
2.30584e+17 formula z^8+c
nb col 352 sat 160 bri 255
ex42
level 48 magn 7.63401e+13 time 241s
-0.1054803354344584342 +
0.9014626394795300021i
nb col 352 sat 176 bri 224
ex43
level 50 magn 2.33872e+14 time 328s
-0.10553608159396877 +
0.90146046952356562i
nb col 352 sat 128 bri 224
ex44
level 27 magn 2.68435e+07 time 190s
-0.7500119632464364 +
0.002961199815634951i
nb col 352 sat 128 bri 224
ex45
level 42 magn 1.15703e+12 time 13.7s
-0.1542021854163509
-0.7279773987712523i formula z^5+c
nb col 352 sat 144 bri 224

Click to enlarge.

ex13
ex14
sat = 128/255
ex15
magn = 2100 sat = 128/255
approx center pos =
0.13996648514194476+
0.66091626230729461i

These ones were made with the very first experiments of the software, with saturated colours.
Click to enlarge.

ex01
ex02
ex03
ex04
ex05
ex06
ex07
ex08
ex09
ex10
ex11
ex12

Images directory
Home page

Last modified: 26th Mar 2014.

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