Combinatorics and Graph Theory

   

Fibonacci Quarternions

Authors: John Frederick Sweeney

Pascal’s Triangle, originally Mount Meru of Vedic Physics, provides the perfect format for a combinatorial Universe, with its binomial coefficients, as well as its ease of determining Fibonacci Numbers. Matrix and Clifford algebras, in the form of the chart above, can be shaped into a form identical with Pascal’s Triangle. At the same time, a Romanian researcher has devised an algorithm for determining a Fibonacci Number as a quarternion. This paper poses the question as to whether the Clifford Pyramid contains properties similar to Pascal's Triangle.

Comments: 18 Pages.

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Submission history

[v1] 2014-04-23 11:36:30

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