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
- explain algorithms used in the program mandel
- Minimal reproducible example
See also wikibooks
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
Description:
- console C++ program
- finds
- wikibooks
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 add README.md
git commit -m "first commit"
git branch -M main
git remote add origin git@github.com:adammaj1/mandel.git
git push -u origin main
git add *.png
git mv *.png ./png
git commit -m "move"
git push -u origin main
then link the images:
to overwrite
git mv -f
~/mandel
File LICENSE must be in main repo directory to be read by github
Github
Math equation inside README.md
$\sqrt{3x-1}+(1+x)^2$