Abstract / Excerpt:

Objective: This study discussed the extensions of algebraic and geometric properties of Pascal's triangle and its applications based on the patterns and arts through programming Pascal's triangle.
Methodology: The study of Pascal's triangle: patterns, extensions and new application is a response to the invitation of the late French Mathematician and Philosopher Blaise Pascal.
Conclusion: Pascal's triangle is indeed an inexhaustible source of intriguing patterns which could fascinate any mathematics enthusiast. Quoting John Neff "It is alluded to be a gold mine although ingenious labor is needed". The algebraic and geometric properties of Pascal's triangle and the patterns generated the extensions of n-dimensional space using the mathematical induction, satisfying a modified non-collinearity condition.

Info

Source Institution	Ateneo de Davao University
Unit	Social Science
Authors	Tuan, Nicanor.
Page Count	1
Place of Publication	Davao City
Original Publication Date	March 4, 1991
Tags	Dissertations, Mathematics

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