Work

Platonic configurations of points and lines

Year: 2024

Type: article

Abstract: We present some methods for constructing connected spatial geometric configurations (p_(q), n_(k)) of points and lines, preserved by the same isometries of Euclidean space E³ as the predetermined Platonic solid. In this paper, we are mainly interested in configurations (n₃), (n₄), and (n₅), but also in unbalanced configurations (p₃, n₄), (p₃, n₅), and (p₄, n₅).

Source: The Art of Discrete and Applied Mathematics

DOI: 10.26493/2590-9770.1308.75f

Authors: Jurij Kovič, Aleksander Simonič

Institutions: University of Primorska, Institute of Mathematics, Physics, and Mechanics, UNSW Canberra

Language: English

Topic: Mathematics and Applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Javna Agencija za Raziskovalno Dejavnost RS

Awards: Action graphs and covering graph techniques, Computationally intensive methods in theoretical computer science, discrete mathematics, combinatorial optimization, and numerical analysis and algebra with applications in natural and social sciences, Grafi, grupe, konfiguracije in geometrije (Slovene)