Rhombellanic Crystals and Quasicrystals

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DIUDEA MIRCEA V.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

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Journal: Iranian Journal of Mathematical Chemistry Year:2018 | Volume:9 | Issue:3 Page(s): 167-178

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Information Journal Paper

Title

Rhombellanic Crystals and Quasicrystals

Author(s)

DIUDEA MIRCEA V. | Issue Writer Certificate

Keywords

RhombellaneQ1

CrystalQ1

QuasicrystalQ1

TopologyQ1

Higher rank structurened.Q1

Abstract

Design of some Crystal and quasiCrystal networks, based on Rhombellane tiling, is presented. [1, 1, 1]Propellane, is a synthesized organic molecule; its hydrogenated form, the bicyclo[1. 1. 1]pentane, may be represented by the complete bipartite graph K2, 3 which is the smallest Rhombellane. Topology of translational and radial structures involving Rhombellanes is described in terms of vertex symbol, connectivity sequence, ring sequence and map operations relating structures to their seeds. It is shown, by alternating sum of ranked substructures, that radial structures represent complex constructions of higher rank. Basic properties of Rhombellanes, coloring included, are outlined.

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APA: Copy

DIUDEA, MIRCEA V.. (2018). Rhombellanic Crystals and Quasicrystals. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 9(3 ), 167-178. SID. https://sid.ir/paper/205498/en

Vancouver: Copy

DIUDEA MIRCEA V.. Rhombellanic Crystals and Quasicrystals. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2018;9(3 ):167-178. Available from: https://sid.ir/paper/205498/en

IEEE: Copy

MIRCEA V. DIUDEA, “Rhombellanic Crystals and Quasicrystals,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 9, no. 3 , pp. 167–178, 2018, [Online]. Available: https://sid.ir/paper/205498/en

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