The Six Cylinders Problem: $$\mathbb {D}_{3}$$-Symmetry Approach

Author:

Ogievetsky Oleg,Shlosman SenyaORCID

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference12 articles.

1. Braß, P., Wenk, C.: On the number of cylinders touching a ball. Geom. Dedic. 81(1–3), 281–284 (2000)

2. Conway, J.H., Radin, C., Sadun, L.: On angles whose squared trigonometric functions are rational. Discret. Comput. Geom. 22(3), 321–332 (1999)

3. Coxeter, H.S.M.: Regular Polytopes, 3rd edn. Dover, New York (1973)

4. Fejes Tóth, L.: Lagerungen in der Ebene auf der Kugel und im Raum. Die Grundlehren der mathematischen Wissenschaften, 2nd edn. Springer, Berlin (1972)

5. Firsching, M.: Optimization Methods in Discrete Geometry. PhD thesis, Freie Universität Berlin, Berlin (2016)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Art of Unlocking;The Mathematical Intelligencer;2022-10-01

2. Platonic Compounds of Cylinders;Proceedings of Symposia in Pure Mathematics;2021

3. Extremal Cylinder Configurations I: Configuration $$C_{\mathfrak {m}}$$;Discrete & Computational Geometry;2020-09-30

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