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Mathemimetics II. Demonstratio Mirabilis of FLT by Infinitely Ascending Cubical Crystal Growth
Linköping University, Department of Medical and Health Sciences, General Practice. Linköping University, Faculty of Health Sciences.
2012 (English)In: AIP Conference Proceedings, ISSN 0094-243X, Vol. 1479, 2143-2146 p.Article in journal (Refereed) Published
Abstract [en]

Emulating Nature by observation and ground-up application of its patterns, structures and processes is a classical scientific practice which under the designation of Biomimetics has now been brought to the Nanotechnology scale where even highly complex systems can be realized by continuous or cyclically reiterated assembly of the respective self-similar eigen-elements, modules and algorithms right from their infinitesimal origin. This is actually quite akin to the genuine mathematical art and can find valuable renewed use as here exemplified by the tentatively original Demonstratio Mirabilis of FLT (Fermats Last Theorem, or, in that case, Triumph) by infinitely ascending sheet-wise cubical crystal growth leading to the binomial magic triangle of his close fellow Blaise Pascal.

Place, publisher, year, edition, pages
AIP American Institute of Physics , 2012. Vol. 1479, 2143-2146 p.
Keyword [en]
Beals conjecture; Binomial expansion; Biomimetics; CuBits; Differential equations; Diophantine equations; Euclidean space; Fermats last theorem; Pascals triangle; Peano arithmetic; Nanotechnology; Number line; Number Universe; Rubiks cube; Self-assembly; Victor Vasarely; Whole-numbers
National Category
Medical and Health Sciences
URN: urn:nbn:se:liu:diva-87563DOI: 10.1063/1.4756615ISI: 000310698100505OAI: diva2:589575
Available from: 2013-01-18 Created: 2013-01-18 Last updated: 2013-01-18

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Trell, Erik
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