Quasicrystals: Between Spongy and Full Space Filling

  • Mircea V. Diudea
Part of the Carbon Materials: Chemistry and Physics book series (CMCP, volume 6)


Quasicrystals are structures showing long-range ordering rather than translational periodicity and could be either spongy or filled ones. Spongy structures are hollow-containing materials, encountered either in natural zeolites or in synthesized spongy carbon. Filled structures consist of small cages and/or tiles that can fill a given space. The design and topological study of some hypothetical structures is presented in terms of map operations and genus calculation of their associated graphs, respectively. Among the discussed structures, one remarks some novel spongy hyper-dodecahedra that can evolve with 1 periodicity. Other spherical multi-shell cages represent aggregates of smaller cages, the classical C60 fullerene included. A whole gallery of nanostructures is presented in the Appendices.


Icosahedral Symmetry Regular Polytope Penrose Tiling Point Symbol Spongy Structure 
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© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Faculty of Chemistry and Chemical EngineeringBabes-Bolyai UniversityClujRomania

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