Pascal's Pyramid | Pascal Pyramid

In mathematics, Pascal's Pyramid is a three-dimensional arrangement of the trinomial numbers, which are the coefficients of the trinomial expansion and the trinomial distribution. Pascal's Pyramid is the three-dimensional analog of the two-dimensional Pascal's triangle, which contains the binomial numbers and relates to the binomial expansion and the binomial distribution. The binomial and trinomial numbers, coefficients, expansions, and distributions are subsets of the multinomial constructs with the same names. Pascal's Pyramid is more precisely called "Pascal's tetrahedron", since it has four triangular surfaces. (The pyramids of ancient Egypt had five surfaces: a square base and four triangular sides.)

Pascals triangle is a very simple structure allowing easy access to foiling.

(a+b)^0 1 (a+b)^1 a b (a+b)^2 a^2 2ab b^2 (a+b)^3 a^3 3a^2b 3ab^2 b^3 (a+b)^4 a^4 4a^3b 6a^2b^2 4ab^3 b^4 (a+b)^5 a^5 5a^4b 10a^3b^2 10a^2b^3 5ab^4 b^5

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