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April 30, 2026Acta Crystallographica Section A Foundations and Advances0 citations

On geometric tubular polyhedra of types 2 01 and 2 1

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DPDaniel PellicerGWGordon Williams

Key Points

  • This research aims to explore the geometric properties of tubular polyhedra of types 201 and 21.
  • Studied tubular polyhedra with affine irreducibility.
  • Analyzed symmetry groups of the polyhedra.
  • Compared skeletal structures to carbon nanotubes.
  • Identified that the polyhedra have degree four vertices compared to degree three in carbon nanotubes.
  • Demonstrated that symmetry groups do not preserve a line.
  • Presented similarities and differences between specified polyhedra and carbon nanotubes.

Abstract

. Since all of those polyhedra are affinely irreducible, none of their symmetry groups preserve a line as we see in the examples studied here. The skeleta of the polyhedra described in this paper bear some similarities to carbon nanotubes; however there the vertices of their skeleta all have degree three, whereas the polyhedra studied here all have degree four.

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Cite This Study

Pellicer et al. (2026) studied this question.

synapsesocial.com/papers/69f2a4b78c0f03fd67763bd1https://doi.org/10.1107/s2053273326003025
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