Other layers can be thought of as overhead views of the tetrahedron with the previous layers removed. The top layer (the apex) is labelled "Layer 0". Assume the tetrahedron is divided into a number of levels, or floors, or slices, or layers. The binomial and trinomial numbers, coefficients, expansions, and distributions are subsets of the multinomial constructs with the same names.īecause the tetrahedron is a three-dimensional object, displaying it on a piece of paper, a computer screen or other two-dimensional medium is difficult. 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. 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. Arrows show derivation of two example terms. Each face (orange grid) is Pascal's triangle. ( Learn how and when to remove this template message) ( June 2019) ( Learn how and when to remove this template message) Please help improve this article if you can. The specific problem is: needs to use LaTeX markup. This article may require cleanup to meet Wikipedia's quality standards.
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