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Unofficial repository related with: Mandel: software for real and complex dynamics by Wolf Jung

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mandel it is unofficial repository related with: Mandel: software for real and complex dynamics by Wolf Jung

Here you will find c++ console programs which

See also wikibooks

Programs

numbersToBinary

console QT program. Converts decimal proper fraction to binary fraction in mandel notation ( formated string)

program mandel own notation: apb where a is a preperiodic part and b is a periodic part, so apb in general math notation is 0.a(b)

example of use: input 1/7

output :

binary expansion of external angle has preperiod = 0 and period = 3 external angle as a decimal fraction = 1/7 as binary floating point number in program mandel own notation = p001

code: numbersToBinary.cpp

wake

Description:

code: wake.cpp

to compile :

g++ w.cpp -Wall -lm

to run

./a.out

example session:

Enter a fraction  k/r  for the rotation number, in lowest terms, with  1 <= k < r < 64 
 Enter numerator of the rotation number, it is integer  1 <= k < 64 :  
1
Enter the denominator of the rotation number, it is integer 1 <= r < 64 :  
3
The rotation number is 1/3
The 1/3 wake of the main cardioid is bounded by the parameter rays with the angles :
1/7 and 2/7
The root point of wake is c = -0.125 ; 0.649519052838329:
The fixed point alfa is z = -0.25 ; 0.433012701892219:

In the result from the program mandel 5.19 for input 1/3 is different:

bounded by the parameter rays with the angles
1/7  or  p001  and
2/7  or  p010 .
Do you want to draw the rays and to shift c
to the center of the satellite component?

Git

   git add README.md
   git commit -m "first commit"
   git branch -M main
   git remote add origin [email protected]:adammaj1/mandel.git
   git push -u origin main

Subdirectory

git add *.png
git mv  *.png ./png
git commit -m "move"
git push -u origin main

then link the images:

![](./png/n.png "description of n.png image")

to overwrite

git mv -f

local repo :

~/mandel

License

File LICENSE must be in main repo directory to be read by github

Github

Math equation inside README.md

  • $\sqrt{3x-1}+(1+x)^2$