On geometric tubular polyhedra of types 2 ₀₁ and 2 ₁

Daniel Pellicer; Gordon Williams

doi:10.1107/s2053273326003025

April 2, 2026Acta Crystallographica Section A Foundations and Advances

On geometric tubular polyhedra of types 2 ₀₁ and 2 ₁

View at Publisher

Ask AI

Bookmark

Share

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.

Ask about this paper

Answers are grounded in this paper and cite their sources.

Implication

Analysis reveals how tubular polyhedra resemble carbon nanotubes in structure, suggesting unique symmetry group characteristics.

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.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Pellicer et al. (2026) studied this question.

synapsesocial.com/papers/69f2a4b78c0f03fd67763bd1 https://doi.org/10.1107/s2053273326003025

View at Publisher

Ask AI

Bookmark

Share

On geometric tubular polyhedra of types 2 ₀₁ and 2 ₁

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

On geometric tubular polyhedra of types 2 ₀₁ and 2 ₁

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading