# set terminal pngcairo  transparent enhanced font "arial,10" fontscale 1.0 size 600, 400 
# set output 'polar.9.png'
set bar 1.000000 front
unset border
set style fill   solid 0.50 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 grid polar 0.523599
set grid noxtics nomxtics noytics nomytics noztics nomztics \
 nox2tics nomx2tics noy2tics nomy2tics nocbtics nomcbtics
set grid layerdefault   lt 0 linewidth 0.500,  lt 0 linewidth 0.500
set key title "bounding radius 2.5" center
set key outside right top vertical Right noreverse enhanced autotitle nobox
set key noinvert samplen 0.7 spacing 1 width 0 height 0 
set style textbox transparent margins  1.0,  1.0 border
unset logscale
set polar
set size ratio 1 1,1
unset xtics
unset ytics
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 rrange [ 0.100000 : 4.00000 ] noreverse nowriteback
set xrange [ -3.90000 : 3.90000 ] noreverse nowriteback
set yrange [ -3.90000 : 3.90000 ] 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 3.+sin(t)*cos(5*t) with filledcurve above r=2.5 notitle,     3.+sin(t)*cos(5*t) with line