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- Geometrical Basics
for Raytracing
Right-angled Triangle
Pythagorean Theorem
Trigonometry Basics
Law of cosines
Equilateral Triangle
Regular Polygon
Polyhedron
Tetrahedron
Octahedron
Cube & Cuboid
Dodecahedron
Icosahedron
Cuboctahedron
Truncated Octahedron
Rhombicuboctahedron
Truncated Icosahedron
Circles
Tangent circles
Internal Tangents
External Tangents
- Geometric 3D Animations
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Cuboctahedron
Some useful geometrical facts. |
Folding of aCuboctahedron
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Folding of a Cuboctahedron
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In the following we write for the square root of a number the expression "sqrt(ZAHL)"
conforming to the syntax used in POV-Ray.
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Dimensions
Length of an edge: a. |
The radius of circumsphere:
R = a ;
The radius of edgesphere (tangent to edges):
Re = a/2 * sqrt(3);
The angle between square and triange: ~ 125,26°
Face_Angle = degrees(acos(-1/sqrt(3)));
The angle between edges: 120°
Edge_Angle = degrees(acos(-1/2))
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Inside of a cuboctahedron:
4 regular hexagons.
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Cuboctahedron
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