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//
// tetraeder.pov
//
// (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
//
#version 3.7;
#include "colors.inc"
global_settings {
assumed_gamma 1
}
#declare imagescale = 0.169;
#declare O = <0, 0, 0>;
#declare at = 0.02;
camera {
location <-2, 3, -10>
look_at <0, 0.18, 0>
right 16/9 * x * imagescale
up y * imagescale
}
//light_source {
// <-14, 20, -50> color White
// area_light <1,0,0> <0,0,1>, 10, 10
// adaptive 1
// jitter
//}
light_source {
<-41, 20, -20> color White
area_light <1,0,0> <0,0,1>, 10, 10
adaptive 1
jitter
}
sky_sphere {
pigment {
color rgb<1,1,1>
}
}
#declare v1 = <1,1,1>;
#declare v2 = <-1,1,-1>;
#declare farbe = rgbf<0.8,0.8,1.0,0.5>;
#declare tetraederwinkel = acos(vdot(v1,v2)/(vlength(v1)*vlength(v2)));
#declare O = < 0, 0, 0 >;
#declare A = < 0, 1, 0 >;
#declare B = < sin(tetraederwinkel), cos(tetraederwinkel), 0>;
#declare C = < sin(tetraederwinkel)*cos(2*pi/3), cos(tetraederwinkel), sin(2*pi/3)>;
#declare D = < sin(tetraederwinkel)*cos(2*pi/3), cos(tetraederwinkel), -sin(2*pi/3)>;
#macro arrow(from, to, arrowthickness, c)
#declare arrowdirection = vnormalize(to - from);
#declare arrowlength = vlength(to - from);
union {
sphere {
from, 1.0 * arrowthickness
}
cylinder {
from,
from + (arrowlength - 8 * arrowthickness) * arrowdirection,
arrowthickness
}
cone {
from + (arrowlength - 8 * arrowthickness) * arrowdirection,
2 * arrowthickness,
to - 3 * arrowthickness * arrowdirection,
0
}
pigment {
color c
}
finish {
specular 0.9
metallic
}
}
#end
union {
arrow(B, C, at, White)
arrow(D, C, at, White)
arrow(D, B, at, White)
arrow(B, A, at, White)
arrow(C, A, at, White)
arrow(D, A, at, White)
sphere { A, 4 * at }
sphere { B, 4 * at }
sphere { C, 4 * at }
sphere { D, 4 * at }
pigment {
color White
}
finish {
specular 0.9
metallic
}
}
mesh {
triangle { A, B, C }
triangle { A, C, D }
triangle { A, D, B }
triangle { B, C, D }
pigment {
color farbe
}
// finish {
// specular 0.9
// metallic
// }
}
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