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Pascal’s prism. (English) Zbl 1383.05009

Summary: Pascal’s triangle is well known for its numerous connections to probability theory, combinatorics, Euclidean geometry, fractal geometry, and many number sequences including the Fibonacci series. It also has a deep connection to the base of natural logarithms, \(e\). This link to \(e\) can be used as a springboard for generating a family of related triangles that together create a rich combinatoric object.

MSC:

05A10 Factorials, binomial coefficients, combinatorial functions
28A80 Fractals

Software:

OEIS
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Full Text: DOI

References:

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