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Mathemimetics I: Self-Computational Prime-Number Line and Three-Dimensional Diophantine Equation Matrix
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, 2138-2142 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 replicated by continuous or cyclically reiterated assembly of the respective self-similar real-world 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 an one-dimensional prime-number line and a three-dimensional Diophantine Equation Universe embodiment.

Place, publisher, year, edition, pages
AIP American Institute of Physics , 2012. Vol. 1479, 2138-2142 p.
Keyword [en]
Beals conjecture; Biomimetics; CuBits; Diophantine equations; Elementary particle spectroscopy; Euclidean space; Fermats last theorem; Mu-Lambda line; Nanotechnology; Number line; Number Universe; Prime numbers; Self-assembly; Whole-numbers
National Category
Medical and Health Sciences
URN: urn:nbn:se:liu:diva-87562DOI: 10.1063/1.4756614ISI: 000310698100504OAI: diva2:589577
Available from: 2013-01-18 Created: 2013-01-18 Last updated: 2013-01-18

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Trell, Erik
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