April 23, 2024Open Access

Face embeddings of Archimedean solids

Puntos clave

Los puntos clave no están disponibles para este artículo en este momento.

Resumen

We characterize the Archimedean solids among the convex uniform polyhedra via face embeddings into a regular Tetrahedron. This result has been listed without proof in the literature. As an application, we obtain a lattice packing of R³ by the truncated Icosahedron whose packing density is notably close to the optimal value obtained in 1.

Leer artículo completoexternamente

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo

Cite This Study

Murphy et al. (Tue,) studied this question.

synapsesocial.com/papers/68e6e09eb6db64358765c4a2 https://doi.org/https://doi.org/10.48550/arxiv.2404.15142

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Overlapping edge unfoldings for convex regular-faced polyhedra2024 · 2 citations
2On Symmetrical Equivelar Polyhedra of Type {3, 7} and Embeddings of Regular Maps2024 · 1 citations
3Perfect t-embeddings and Lozenge Tilings2024
4The Simplest Invariant Representation of the Regular Tetrahedron2026
5Lattice points in slices of prisms2024 · 2 citations

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo