Higher dimensional dodecahedra as models of the macro and micro universe in E-infinity Cantorian space-time

L. Marek-Crnjac

Chaos, Solitons & Fractals, 2007, vol. 32, issue 3, 944-950

Abstract: In this short work, we present a summary about Platonic solids specially about the different dodecahedra. Kepler’s Conjecture and the Dodecahedral Conjecture are of a great importance in circle searching specially in the Poincaré dodecahedron space as a cosmological model. Some properties of the 120-cell Coxeter polytop are presented. E-infinity Cantorian space-time may be regarded as a fuzzy version of a hyperbolic manifold based on the 120-cell Coxeter polytop. The topology of fuzzy 4-dimensional polytops are used to give information about the number of the elementary particles in the standard model of high energy physics.

Date: 2007
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:3:p:944-950

DOI: 10.1016/j.chaos.2006.07.030

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