Hi
I want to draw special cardioid defined by equation:
e1:exp(t*%i)/2-exp(2*t*%i)/4;
Can I draw it in such form ?
I have done it by 2 methods:
/* draws cardioid in parametric form */
e1:exp(t*%i)/2-exp(2*t*%i)/4;
re:realpart(e1);
im:imagpart(e1);
/*demoivre(e1);*/
plot2d ([parametric,re,im,[t,0,2*%pi],[nticks,200]],[x,-2.5,
0.5],[y,-1.5,1.5],[gnuplot_preamble, "set xzeroaxis; set grid"])$
I works good.
And second method :
/* draws cardioid in polar form */
e1:exp(t*%i)/2-exp(2*t*%i)/4;
r:abs(e1);
load(draw);
draw2d(nticks = 2000, xrange = [-2.5,0.5], yrange=[-1.5,1.5], color =
blue, line_width
= 3, polar(r,t,0,2*%pi),grid=true)$
It semms to me the same but graphical result is diffrent.
Can it be done better ?
regards
Adam