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Title:Platonic configurations of points and lines
Authors:ID Kovič, Jurij (Author)
ID Simonič, Aleksander (Author)
Files:.pdf PDF - Presentation file, download (534,29 KB)
MD5: BA9576611C6CC8D064BA82C7CE2971B2
 
URL URL - Source URL, visit https://adam-journal.eu/index.php/ADAM/article/view/1308
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
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 $E^3$ as the predetermined Platonic solid. In this paper, we are mainly interested in configurations $(n_3)$, $(n_4)$, and $(n_5)$, but also in unbalanced configurations $(p_3, n_4)$, $(p_3, n_5)$, and $(p_4, n_5)$.
Keywords:configuration of points and lines, symmetry groups, Platonic solids, centrally symmetric solid, projection from a point
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2026
Year of publishing:2026
Number of pages:13 str.
Numbering:Vol. 9, no. 1, article no. P1.01
PID:20.500.12556/DiRROS-23102 New window
UDC:514
ISSN on article:2590-9770
DOI:10.26493/2590-9770.1308.75f New window
COBISS.SI-ID:234731011 New window
Note:
Publication date in DiRROS:28.07.2025
Views:367
Downloads:181
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Record is a part of a journal

Title:The art of discrete and applied mathematics
Publisher:Fakulteta za matematiko, naravoslovje in informacijske tehnologije
ISSN:2590-9770
COBISS.SI-ID:290758912 New window

Document is financed by a project

Funder:ARRS - Slovenian Research Agency
Project number:P1-0294
Name:Računsko intenzivne metode v teoretičnem računalništvu, diskretni matematiki, kombinatorični optimizaciji ter numerični analizi in algebri z uporabo v naravoslovju in družboslovju

Funder:ARRS - Slovenian Research Agency
Project number:N1-0032
Name:Grafi, grupe, konfiguracije in geometrije

Funder:ARRS - Slovenian Research Agency
Project number:J1-9187
Name:Akcijski grafi in tehnike krovnih grafov

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

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