Links in orthoplicial Apollonian packings

DOI10.1016/j.ejc.2024.104017MaRDI QIDQ6612297

Jorge Ramírez Alfonsín, Iván Rasskin

Publication date: 30 September 2024

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

knotlinkcontact graphsphere packingball numbernecklace representation

Mathematics Subject Classification ID

Paths and cycles (05C38) Combinatorial inequalities (05A20) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Graph representations (geometric and intersection representations, etc.) (05C62) Combinatorial aspects of packing and covering (05B40) Combinatorial complexity of geometric structures (52C45) Knot theory (57K10)

Cites Work

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• Inversive geometry and the hexlet
• Apollonian circle packings: Number theory
• A lemma on systems of knotted curves.
• Embedding knots and links in an open book. I: Basic properties
• Ball packings for links
• Scribability problems for polytopes
• On configurations of solid balls in 3-space: chromatic numbers and knotted cycles
• Self-Dual Maps I: Antipodality
• Geometry and arithmetic of crystallographic sphere packings
• On superintegral Kleinian sphere packings, bugs, and arithmetic groups

Related Items (1)

Regular polytopes, sphere packings and Apollonian sections

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