# set terminal pngcairo  transparent enhanced font "arial,10" fontscale 1.0 size 600, 400 
# set output 'sectors.2.png'
unset border
set angles degrees
set theta clockwise top
unset key
set view map scale 1
set size ratio -1 1,1
unset xtics
unset ytics
unset ztics
unset rtics
set title "Polar heatmap composed of sectors\npositioned on a cartesian x/y plane" 
set xrange [ -12.0000 : 12.0000 ] noreverse nowriteback
set x2range [ * : * ] noreverse writeback
set yrange [ -12.0000 : 12.0000 ] noreverse nowriteback
set y2range [ * : * ] noreverse writeback
set zrange [ * : * ] noreverse writeback
set cbrange [ * : * ] noreverse writeback
set rrange [ * : * ] noreverse writeback
set palette positive nops_allcF maxcolors 0 gamma 1.5 viridis
set colorbox user
set colorbox vertical origin screen 0.85, 0.25 size screen 0.05, 0.5 front  noinvert bdefault
f(t,r) = r*cos(t+20*r)**2
NO_ANIMATION = 1
array data[1] = []
rmax = 10
dr = 0.5
tmax = 180
dt = 10
## Last datafile plotted: "$data"
plot $data using 1:2:(dt):(dr):(0.5):(0):(f($1+dt/2,$2+dr/2)) with sectors fc palette fill solid,      $data using (-$1):2:(-dt):(dr):(-0.5):(0):(f($1+dt/2,$2+dr/2)) with sectors fc palette fill solid