MLbrot

base

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

The current distributed version is 1.02 (released 2014年03月26日).

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.
Download the binary version compiled on Linux (Ubuntu). (you may need to do chmod +x mlbrot to make it work)

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.

[フレーム]

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.

Images directory
Home page

Last modified: 31st Oct 2016.

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