This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
# Square of eccentricity (but not that of the drawn ellipse): | |
modparm = 3/4 | |
# The size of the drawn ellipse (semimajor and semiminor) is computed | |
# below. | |
### Mapping the inside of the disk to the inside of the ellipse: | |
prescale = N(modparm^(-1/4)) | |
postscale = N(pi/(2*elliptic_kc(modparm))) |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
// Compute the coefficients of the Jungreis function, i.e., the | |
// Fourier coefficients of the harmonic parametrization of the | |
// boundary of the Mandelbrot set, using the formulae given in | |
// following paper: John H. Ewing & Glenn Schober, "The area of the | |
// Mandelbrot set", Numer. Math. 61 (1992) 59-72 (esp. formulae (7) | |
// and (9)). (Note that their numerical values in table 1 give the | |
// coefficients of the inverse series.) | |
// The coefficients betatab[m+1][0] are the b_m such that | |
// z + sum(b_m*z^-m) defines a biholomorphic bijection from the |