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Platonic configurations of points and linesJurij Kovič,
Aleksander Simonič, 2026, original scientific 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 $E^3$ 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
Published in DiRROS: 28.07.2025; Views: 549; Downloads: 300
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