# Povray for Optimization Demo

I am always pleasantly surprised of what the open Povray program can do for you. For my script about linear optimization I needed a cylinder to demonstrate a case where the simplex algorithm does not make progress, but has not reached the optimum.

I am not going into the math of the optimization here. I just want to tell how this can be done with a little programming. I add the warning that I am not an expert at all for open Povray.

So here is the code.

#include "colors.inc"
#include "stones.inc"

camera
{
location <-5, 2, -5>
look_at <0, 0, 0>
angle 50 // opening angle of the lens
}

global_settings
{
ambient_light White
assumed_gamma 1.4
}

background
{
color White
}

light_source
{
<-2, 4, -3>
White
}

mesh
{
triangle { <0,1,1>, <1,0,0>, <1,2,0> }
triangle { <0,1,1>, <1,2,0>, <1,2,2> }
triangle { <0,1,1>, <1,2,2>, <1,0,2> }
triangle { <0,1,1>, <1,0,2>, <1,0,0> }

triangle { <1,2,0>, <1,0,2>, <1,2,2> }
triangle { <1,2,0>, <1,0,2>, <1,0,0> }

texture {
pigment { color rgb <0.8,0.5,0.5> }
}
finish {
ambient 0.5
}
}

#declare axis = union
{
cylinder
{
<-2,0,0>,<2,0,0>,0.02
}
cone
{
<2.12,0,0>,0
<2,0,0,>,0.08
}
}

union
{
object
{
axis
}
object
{
axis
rotate -90*y
}
object
{
axis
rotate 90*z
}
texture {
pigment { color Gray }
}
}


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