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Mu-Ency - The Encyclopedia of the Mandelbrot Set    

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The Nucleolus of a second-order embedded Julia set

This is a picture from the Mandelbrot Set, one of the most well-known fractal images in the world. (Click it for a larger version). The Mandelbrot Set is one of my hobbies, and I have collected a large amount of information about it. To organize that information I have created Mu-Ency, a large collection of text files linked to each other1.

Here are some entries from Mu-Ency:

More Pictures:

Some entries with pictures of parts of the Mandelbrot Set are: R2, Cusp, Embedded Julia set, 2-fold Embedded Julia set, 4-fold Embedded Julia set, Paramecia, R2.C(0), R2.C(1/3), R2.1/2.C(1/2), R2t series, Seahorse Valley, Delta Hausdorff Dimension, Exponential Map, Color, Representation Function, Reverse Bifurcation.

... or just explore on your own using DEMZ.

You can look up specific articles in the index, or see what's new in the changelog.

Coordinates of the image above:

Center: -1.769 110 375 463 767 385 + 0.009 020 388 228 023 440 i

Width (and height): 0.000 000 000 000 000 160

Algorithm: distance estimator

Iterations: 10000

An ASCII art Mandelbrot set: vL , '*m-` -m/**\a, ... _,/#, ]),., ., '#F-.F~*^' '`'*~*eae/: . -__/* '`_* )_. ic,_ ./- T\a 7F*-~~*a, /` dL \_,\F^ '\` .*` .,___\____._/*^* R2a .m~ ` ' :*r(, . ~e ` -\r._____/`L @e _-**^)~*' ]c .^_ -~ ` .)L_, _-`' .]F_.,, ,.-e_@, -*#^ *~*v- '-/-~* '`]- d@,,..(, ^'*m-' i*^^` '^` (If you like fractal ASCII art, there is more at most of the pages listed above at "More Pictures:".)


1 : "text files linked to each other" : Mu-Ency began as a glossary in 1988, intended to be accessed by sending commands by email message to a server that sends plain-text responses. Its source language remains in RHTF, my human-friendly style annotation like Markdown but far more capable.

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This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2023 Jul 23. s.27