Fractals of 3D stars with icosahedral symmetry.


Journal

Journal of physics. Condensed matter : an Institute of Physics journal
ISSN: 1361-648X
Titre abrégé: J Phys Condens Matter
Pays: England
ID NLM: 101165248

Informations de publication

Date de publication:
08 May 2020
Historique:
pubmed: 23 1 2020
medline: 23 1 2020
entrez: 23 1 2020
Statut: ppublish

Résumé

The method for constructing 3D fractals of stars with icosahedral symmetry is proposed. A great stellated dodecahedron (I) and a small stellated dodecahedron (D) were selected as building elements. The faces of the polyhedra are equal in size. The initial polyhedron (I or D) is replicated and the copies are placed so that its centres coincide with the vertices of the star (I or D), which is not displayed. This star is called by the author the generalized star, its size is τ

Identifiants

pubmed: 31968312
doi: 10.1088/1361-648X/ab6e91
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

194003

Auteurs

Alexander Polyakov (A)

Institute of Natural Sciences and Mathematics, South Ural State University, Chelyabinsk, Russia.

Classifications MeSH