The Tetrahedron

The Tetrahedron is a regular three-sided Pyramid. Its surface consists of four equilateral triangles and is therefore one of the five Platonic solids.

The following elements of a tetrahedron are calculated if one of them is given:

• Edge a
• Apothem h₁
• Altitude h₂
• Circumradius r_u
• Inradius r_i
• Volume V
• Surface S

Example:

Given:
¯¯¯¯¯¯
 Circumradius rc = 1

Results:
¯¯¯¯¯¯¯
            Edge a = 1,6329932
    Apothem h1 = 1,4142136
       Altitude h2 = 1,3333333
       Inradius ri = 0,33333333
        Volume V = 0,51320024
       Surface S = 4,6188022

See also:

Graphics 3D
Wikipedia: Platonic solid