A Keplerian Ag90 nest of Platonic and Archimedean polyhedra in different symmetry groups
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DOI: 10.1038/s41467-020-17198-1
Abstract: Polyhedra are ubiquitous in chemistry, biology, mathematics and other disciplines. Coordination-driven self-assembly has created molecules mimicking Platonic, Archimedean and even Goldberg polyhedra, however, nesting multiple polyhedra in one cluster is challenging, not only for synthesis… read more here.
Keywords: keplerian ag90; platonic archimedean; chemistry; symmetry ... See more keywords
Some New Symmetric Equilateral Embeddings of Platonic and Archimedean Polyhedra
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DOI: 10.3390/sym10090382
Abstract: The icosahedron and the dodecahedron have the same graph structures as their algebraic conjugates, the great dodecahedron and the great stellated dodecahedron. All four polyhedra are equilateral and have planar faces-thus ``EP{''}-and display icosahedral symmetry.… read more here.
Keywords: platonic archimedean; symmetric equilateral; embeddings platonic; symmetry ... See more keywords