dependecies

• mandelbrot symbolics
• mandelbrot numerics

 apt-get install libsndfile-dev

update

 git pull

N

N*2 and N/2 change the iteration count limit of the image (you may need to increase it when zooming deeper)

Filaments

Filaments traces rays to prune filaments from minibrots and embedded Julia sets. See https://mathr.co.uk/blog/2013-10-02_islands_in_the_hairs.html and https://post.lurk.org/@mathr/102922605930156945 (the embedded Julia set rays are found by prepending the periodic block of the central island rays to periodic blocks of the influencing island rays)

Mu-unit

• definition from Mu-Ency by R Munafo^[1]

Steps:

• select nucleus
• first click on the menu
• then using mouse left click and hold make a circle over a space where nucleus is. Number showing period of the nucleus is shown on the image and on the Annotations panel on the right
• mark the nucleus number on the Annotations panel and click Mu-Unit menu item

Nucleus

Nucleus of a Mu-Atom^[2] = center of hyperbolic component of the Mandelbrot set

Steps:

• select nucleus
• first click on the menu
• then using mouse left click and hold make a circle over a space where nucleus is. Number showing period of the nucleus is shown on the image and on the Annotations panel on the right

Ray in

Draw parameter ray from infinity toward Mandelbrot set boundary

Options

• external angle ( binary fraction),
• preperiod ( positive int )
• period ( positive int )
• depth ( positive int)

Example of accepted values of external angle ( without zero from the the whole-number^[3]) :

• periodic : .(1)
• preperiodic: .01(0110)
• ? .1(0)

Bad ( non accepted) values are

• .1

One can chack it also in the web interface