Tetrahedral Numbers
Tetrahedral numbers are positive integers, where n is a positive integer.
The amount of Tedrahedral numbers can be formed by a tedrahedral-shaped body.
n (n + 1) (n + 2) => 3 (3 +1) (3 + 2) = 10
6 6
The first ten tetrahedral numbers are: 1, 4, 10, 20, 35, 56, 84, 120, 165, 220, …
A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron.
Tetrahedron forms by four equilateral triangles, a special form of a pyramid. By combining a tetrahedron facets centers, is the result of a new tetrahedron. When the length of the edge of the tetrahedron is reduced to 25 %, the volume is reduced by a factor of 1.252 = 1.56 ( => 1.56 x 1.03(4) = 1.618 )
Tetrahedral Numbers in Pascal's Triangle
30.7.2015*10:20 (1236 - 510)
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