Keywords: Lissajous Square Knot.png Created with Persistence of Vision en A Lissajous square knot own Jim belk 2010-03-26 Source This image was created using POV-Ray for Windows version 3 6 The image was rendered to an 1800 x 1800 square using 0 3 anti-aliasing and then cropped and compressed using pngcrush <pre> include colors inc background color White global_settings assumed_gamma 1 0 camera location <0 0 -25> right <1 0 0> up <0 1 0> look_at <0 0 0> angle 5 light_source <0 20 -50> color White area_light <5 0 0> <0 5 0> 10 10 / very slow decrease 10 to 2 for experiments / adaptive 3 declare r_tube 0 04; declare num_steps 36; declare step_size 1/num_steps; sphere_sweep cubic_spline num_steps+3 declare N -1; while N < num_steps + 1 declare theta 2 pi N step_size; < 0 8 cos 3 theta + 0 7 0 8 cos 5 theta + 1 + 0 075 0 3 cos 7 theta +0 06> r_tube declare N N + 1; end pigment color rgb <0 0 25 1> finish ambient 0 15 diffuse 0 85 brilliance 2 phong 0 25 phong_size 5 plane <0 0 -1> -0 4 pigment color White finish ambient 0 35 diffuse 0 65 </pre> Blue knots Square knots knot theory Knots and links on white background 3D Lissajous curves Images with Povray source code |