# Fullerenes and coordination polyhedra versus half-cube embeddings

@article{Deza1998FullerenesAC, title={Fullerenes and coordination polyhedra versus half-cube embeddings}, author={Antoine Deza and Michel Deza and Viatcheslav P. Grishukhin}, journal={Discret. Math.}, year={1998}, volume={192}, pages={41-80} }

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## 31 Citations

### Version of Zones and Zigzag Structure in Icosahedral Fullerenes and Icosadeltahedra

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Algebraic formulas of extended superspheres that can express intermediate shapes between spheres and various polyhedra have been presented to consider near polyhedral shapes ofCrystalline nanoparticles or nanoprecipitates with a cubic structure.

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Geometrical transformations can be described which have the effect of multiplying the numbers of vertices in a trivalent polyhedron by three, four, or seven. Tripling the cube by the so-called…

### The Roundest Polyhedra with Symmetry Constraints

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A new numerical optimization method has been applied to optimize polyhedra to best approximate a sphere if tetrahedral, octahedral, or icosahedral symmetry constraints are applied.

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