# set terminal pngcairo  transparent enhanced font "arial,10" fontscale 1.0 size 600, 400 
# set output 'polar.8.png'
set clip points
set bar 1.000000 front
unset border
set style circle radius graph 0.02, first 0.00000, 0.00000 
set style ellipse size graph 0.05, 0.03, first 0.00000 angle 0 units xy
set dummy t, y
set key inside right top vertical Right noreverse enhanced autotitle box lt black linewidth 1.000 dashtype solid
unset key
set style textbox transparent margins  1.0,  1.0 border
unset logscale
set polar
set samples 800, 800
set style data lines
set xzeroaxis
set yzeroaxis
set zzeroaxis
set xtics axis in scale 1,0.5 nomirror norotate  autojustify
set ytics axis in scale 1,0.5 nomirror norotate  autojustify
unset rtics
unset paxis 1 tics
unset paxis 2 tics
unset paxis 3 tics
unset paxis 4 tics
unset paxis 5 tics
unset paxis 6 tics
unset paxis 7 tics
set title "Butterfly" 
set trange [ 0.00000 : 37.6991 ] noreverse nowriteback
set paxis 1 range [ * : * ] noreverse nowriteback
set paxis 2 range [ * : * ] noreverse nowriteback
set paxis 3 range [ * : * ] noreverse nowriteback
set paxis 4 range [ * : * ] noreverse nowriteback
set paxis 5 range [ * : * ] noreverse nowriteback
set paxis 6 range [ * : * ] noreverse nowriteback
set paxis 7 range [ * : * ] noreverse nowriteback
set colorbox vertical origin screen 0.9, 0.2, 0 size screen 0.05, 0.6, 0 front  noinvert bdefault
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)