##
# mod_tex: distributed LaTeX-rendering over Apache
# Copyright (C) 2007 Peter Danenberg
# See doc/COPYING for details.
set term cairopng size 12,9 font ",8" linewidth 3 enhanced
set output 'plot.png'
unset border
set style fill  transparent solid 0.65 border
set dummy u,v
unset key
set style line 2  linetype 2 linecolor rgb "#a0a0f0"  linewidth 0.500 pointtype 2 pointsize default
set style line 3  linetype -1 linewidth 0.500 pointtype 3 pointsize default
set parametric
set view 122, 357, 1.35, 1.08
set isosamples 51, 51
set hidden3d offset 1 trianglepattern 3 undefined 1 altdiagonal bentover
set ticslevel 0
set noxtics
set noytics
set noztics
set urange [ -4.50000 : 4.50000 ] noreverse nowriteback
set vrange [ 0.0500000 : 3.09159 ] noreverse nowriteback
set lmargin screen 0.1
set bmargin screen 0.1
set rmargin screen 0.9
set tmargin screen 0.9
set pm3d depthorder
set pm3d interpolate 1,1 flush begin noftriangles hidden3d 3 corners2color mean
unset colorbox
x(u,v) = 2.*a*(cos(u)+u*sin(u))*sin(v) / (1+u**2.*(sin(v))**2)
y(u,v) = 2.*a*(sin(u)-u*cos(u))*sin(v) / (1+u**2.*(sin(v))**2)
z(u,v) = a*log(tan(v/2.))+2.*cos(v)/(1+u**2.*(sin(v))**2)
a = 1.0
splot x(u,v), y(u,v), z(u,v) with pm3d