# set terminal png transparent nocrop enhanced font arial 8 size 420,320 
# set output 'surface1.10.png'
set logscale z 10
set samples 21, 21
set isosamples 11, 11
set xtics border mirror norotate  ("low" -3.00000, "mid" 0.00000, "high" 3.00000)
set ytics border mirror norotate -2.00000,0.5,2.00000
set title "Surfaces with z log scale" 0.000000,0.000000  font ""
set xlabel "X axis" -3.000000,-2.000000  font ""
set xrange [ -3.00000 : 3.00000 ] noreverse nowriteback
set ylabel "Y axis" 3.000000,-2.000000  font ""
set yrange [ -3.00000 : 3.00000 ] noreverse nowriteback
set zlabel "Z axis" -5.000000,0.000000  font ""
splot x**2*y**2 + 2, x**2*y**4 + 2, x**4*y**2 + 2