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