Keywords: Serpentine curve.png Illustration of Serpentine curve self-made with en Matlab 15 43 14 July 2007 UTC Oleg Alexandrov Created with MATLAB Source code MATLAB <source lang matlab > Serpentine curve illustration function main linewidth and font size lw 6; fs 20; colors red 0 867 0 06 0 14; blue 0 129 205/256; green 0 200 70/256; black 0 0 0; white 0 99 1 1 1; N 500; number of points don't make it big code will be slow Lx1 -5; Lx2 5; Ly1 -4; Ly2 -Ly1; bd 0 1; for i 1 2 Set up the plotting window figure 1 ; clf; set gca 'fontsize' fs 'linewidth' lw/4 ; hold on; axis equal; grid on; figure 2 ; clf; hold on; axis equal; axis off; X Y meshgrid linspace Lx1 Lx2 N linspace Ly1 Ly2 N ; x X; y Y; a 1; b 1; Z x 2 y+a b y-a 2 x; graph the curves using 'contour' in figure 2 figure 2 ; c stuff contour X Y Z 0 0 ; extract the curves from c and graph them in figure 1 using 'plot' need to do this kind of convoluted work since plot2svg can't save the result of 'contour' but can save the result of 'plot' m n size c ; while n > 0 l c 2 1 ; x c 1 2 l+1 ; y c 2 2 l+1 ; get x and y of contours figure 1 ; plot x y 'color' red 'linewidth' lw/2 ; c c l+2 n ; m n size c ; Lx1 min Lx1 min x - bd ; Lx2 max Lx2 max x + bd ; Ly1 min Ly1 min y - bd ; Ly2 max Ly2 max y + bd ; Lx1 min x - bd; Lx2 max x + bd; Ly1 min y - bd; Ly2 max y + bd; end figure 1 ; axis equal; axis Lx1 Lx2 Ly1 Ly2 ; end saveas gcf 'Serpentine curve eps' 'psc2' </source> cubic curves Files by User Oleg Alexandrov from en wikipedia Images with Matlab source code |