Two Remarkable Spherical Arrangements of Circles

DOI10.1007/978-3-319-95588-9_33zbMath1400.52020OpenAlexW2832228721MaRDI QIDQ4553999

Hellmuth Stachel

Publication date: 7 November 2018

Published in: Advances in Intelligent Systems and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-95588-9_33

zbMATH Keywords

PhyllotaxisIvory's theoremPoncelet gridhyperbolic screw motionincircular netspherical arrangements of circlesspiral grid

Mathematics Subject Classification ID

Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30)

Cites Work

• Geometrische Betrachtungen um eine Apfelschale
• Ein Analogon zum Satz von Ivory
• Verwandte Sätze über Kreisvierseitnetze
• Incircular nets and confocal conics
• The Universe of Conics
• Phyllotaxis
• Ivory’s theorem revisited
• Voronoi spiral tilings
• Die Fadenkonstruktionen der Flächen zweiter Ordnung
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