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C70, C80, C90 and carbon nanotubes by breaking of the icosahedral symmetry of C60.

- M. Bodner, J. Patera, M. Szajewska
- Physics, Medicine
- Acta crystallographica. Section A, Foundations of…
- 1 November 2013

TLDR

Breaking of Icosahedral Symmetry: C 60 to C 70

- M. Bodner, J. Patera, M. Szajewska
- Materials Science, Medicine
- PloS one
- 5 March 2014

TLDR

Faces of Platonic solids in all dimensions.

- M. Szajewska
- Mathematics, Medicine
- Acta crystallographica. Section A, Foundations…
- 6 April 2012

TLDR

Reduction of orbits of finite Coxeter groups of non-crystallographic type

- Z. Grabowiecka, J. Patera, M. Szajewska
- Mathematics
- 23 October 2018

A reduction of orbits of finite reflection groups to their reflection subgroups is produced by means of projection matrices, which transform points of the orbit of any group into points of the orbits… Expand

Decomposition matrices for the special case of data on the triangular lattice of SU(3)

- M. Bodner, J. Patera, M. Szajewska
- Mathematics
- 1 September 2017

Abstract A method for the decomposition of data functions sampled on a finite fragment of triangular lattice is described for the cases of lattices of any density corresponding to the simple Lie… Expand

Four types of special functions of G 2 and their discretization

- M. Szajewska
- Mathematics, Physics
- 13 January 2011

Properties of four infinite families of special functions of two real variables, based on the compact simple Lie group G 2, are compared and described. Two of the four families (called here C- and… Expand

Icosahedral symmetry breaking: C(60) to C(84), C(108) and to related nanotubes.

- M. Bodner, E. Bourret, J. Patera, M. Szajewska
- Mathematics, Medicine
- Acta crystallographica. Section A, Foundations…
- 1 May 2015

TLDR

Icosahedral symmetry breaking: C60to C84, C108and to related nanotubes

- M. Bodner, E. Bourret, J. Patera, M. Szajewska
- Physics
- 1 November 2014

This paper completes the series of three independent articles [Bodner et al. (2013). Acta Cryst. A69, 583–591, (2014), PLOS ONE, 10.1371/journal. pone.0084079] describing the breaking of icosahedral… Expand

Polytope contractions within icosahedral symmetry

- M. Bodner, J. Patera, M. Szajewska
- Physics
- 14 April 2014

Icosahedral symmetry is ubiquitous in nature, and understanding possible deformations of structures exhibiting it can be critical in determining fundamental properties. In this work we present a… Expand

Faces of root polytopes in all dimensions.

- M. Szajewska
- Mathematics, Medicine
- Acta crystallographica. Section A, Foundations…
- 1 July 2016

In this paper the root polytopes of all finite reflection groups W with a connected Coxeter-Dynkin diagram in {\bb R}^n are identified, their faces of dimensions 0 ≤ d ≤ n - 1 are counted, and the… Expand

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