Keywords: Epitrochoid512.svg Epitrochoid made with gnuplot see code below whose parametric equations are <math>x R + r \cos\theta - d\cos\left R + r \over r \theta\right \ </math> <math>y R + r \sin\theta - d\sin\left R + r \over r \theta\right \ </math> where <math>R 5</math> <math>r 1</math> <math>d 2</math> Own 2008-01-26 Ote Gnuplot code <pre> R 5 0 r 1 0 d 2 0 a pi/4 set size ratio -1 set nokey set nox2tics set noy2tics set zeroaxis lt -1 set grid set noborder set style line 1 linecolor 3 linewidth 3 set style line 2 linecolor -1 linewidth 3 set style line 3 linecolor 1 linewidth 3 set style line 4 linecolor 1 linewidth 5 pointtype 0 set style line 5 linecolor -1 linewidth 5 pointtype 0 set style line 6 linecolor -1 linewidth 1 set arrow from R+r cos a R+r sin a to R+r cos a - d cos R+r a/r R+r sin a - d sin R+r a/r nohead ls 6 set parametric set samples 300 x1 t R cos t y1 t R sin t x2 t R+r cos a +r cos t y2 t R+r sin a +r sin t x3 t R+r cos t - d cos R+r t/r y3 t R+r sin t - d sin R+r t/r plot x1 t y1 t ls 1 x2 t y2 t ls 2 x3 t y3 t ls 3 '-' using R+r cos a - d cos R+r a/r R+r sin a - d sin R+r a/r ls 4 '-' using R+r cos a R+r sin a ls 5 0 0 e 0 0 e </pre> Epitrochoid Gnuplot diagrams |