This dissertation establishes a framework that reveals Fibonacci numbers from Pascal’s triangle using a diagonal projection operator.
This dissertation establishes a comprehensive algebraic framework demonstrating that the Fibonacci sequence emerges as the result of a diagonal projection operator TTT applied to Pascal’s triangle. We introduce the diagonal projection operator as a linear transformation that maps the two-dimensional binomial coefficient space onto one-dimensional recursive sequences, providing the first rigorous operator-theoretic characterization of this classical relationship.
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Revista et al. (2026) studied this question.
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