# set terminal pngcairo  transparent enhanced font "arial,10" fontscale 1.0 size 500, 350 
# set output 'polar.8.png'
set clip points
unset border
set dummy t,y
set key inside right top vertical Right noreverse enhanced autotitles box linetype -1 linewidth 1.000
unset key
set polar
set samples 800, 800
set xzeroaxis linetype 0 linewidth 1.000
set yzeroaxis linetype 0 linewidth 1.000
set zzeroaxis linetype 0 linewidth 1.000
set xtics axis in scale 1,0.5 nomirror norotate  offset character 0, 0, 0 autojustify
set ytics axis in scale 1,0.5 nomirror norotate  offset character 0, 0, 0 autojustify
set nortics
set title "Butterfly" 
set trange [ 0.00000 : 37.6991 ] noreverse nowriteback
butterfly(x)=exp(cos(x))-2*cos(4*x)+sin(x/12)**5
GPFUN_butterfly = "butterfly(x)=exp(cos(x))-2*cos(4*x)+sin(x/12)**5"
plot butterfly(t)