# set terminal png transparent nocrop enhanced font arial 8 size 420,320 
# set output 'polar.8.png'
set clip points
unset border
set dummy t,y
unset key
set polar
set samples 800, 800
set xzeroaxis lt 0 lw 1.000
set yzeroaxis lt 0 lw 1.000
set xtics axis nomirror norotate autofreq 
set ytics axis nomirror norotate autofreq 
set title "Butterfly" 0.000000,0.000000  font ""
set trange [ 0.00000 : 37.6991 ] noreverse nowriteback
set xrange [ * : * ] noreverse nowriteback  # (currently [-5.00000:5.00000] )
set yrange [ * : * ] noreverse nowriteback  # (currently [-5.00000:5.00000] )
butterfly(x)=exp(cos(x))-2*cos(4*x)+sin(x/12)**5
plot butterfly(t)