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set term epslatex color solid

set output 'eg7.tex'

unset border

set dummy u,v

unset key

unset encoding

set parametric

set view 60, 30, 1.2, 1.3

set isosamples 50, 20

set hidden3d offset 1 trianglepattern 3 undefined 1 altdiagonal bentover

set noxtics

set noytics

set noztics

set title "Interlocking Tori - PM3D surface with depth sorting"

set urange [ -3.14159 : 3.14159 ] noreverse nowriteback

set vrange [ -3.14159 : 3.14159 ] noreverse nowriteback

set pm3d depthorder

x=.10; y=.15; dy=.05

set label "left torus:" at screen x,y; y=y-dy

set label '$x=\cos u+\frac{1}{2}\cos u \cos v$' at screen x,y; y=y-dy

set label '$y=\sin u+\frac{1}{2}\sin u \cos v$' at screen x,y; y=y-dy

set label "$z=\\frac{1}{2}\\sin v$" at screen x,y

x=.65; y=.08

set label '\parbox{2.5in}{right torus:\\$x=1+\cos u+\fr\

ac{1}{2}\cos u \cos v$\\$y=\frac{1}{2}\sin v$\\\

$z=\sin u + \frac{1}{2}\sin u \cos v$}' at screen x,y left

set pm3d interpolate 1,1 flush begin noftriangles nohidden3d corners2color mean

splot cos(u)+.5*cos(u)*cos(v),sin(u)+.5*sin(u)*cos(v),.5*sin(v) with pm3d, \

1+cos(u)+.5*cos(u)*cos(v),.5*sin(v),sin(u)+.5*sin(u)*cos(v) with pm3d