Platonic configurations of points and lines
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).
Authors
- Jurij Kovič (ORCID: https://orcid.org/0000-0003-0567-2626)
- Aleksander Simonič (ORCID: https://orcid.org/0000-0003-1298-9031)
Institutions
- University of Primorska (SI)
- University of Canberra (AU)
- UNSW Sydney (AU)
Publication Details
- Journal
- The Art of Discrete and Applied Mathematics
- Published
- 2024-12-23
- DOI
- https://doi.org/10.26493/2590-9770.1308.75f
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Javna Agencija za Raziskovalno Dejavnost RS