A trichotomy for rectangles inscribed in Jordan loops

Author:

Schwartz Richard EvanORCID

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference20 articles.

1. Akopyan, A., Avvakumov, S.: Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum Math. Sigma 6, E7 (2018)

2. Aslam, J., Chen, S., Frick, F., Saloff-Coste, S., Setiabrata, L., Thomas, H.: Splitting loops and necklaces: variants of the square peg problem. Forum Math. Sigma 8, E5 (2020)

3. Cantarella, J., Denne, E., McCleary, J.: Transversality in configuration spaces and the square peg problem. arXiv:1402.6174 (2014)

4. Emch, A.: Some properties of closed convex curves in the plane. Am. J. Math. 35, 407–412 (1913)

5. Hugelmeyer, C.: Every smooth Jordan curve has an inscribed rectangle with aspect ratio equal to $$\sqrt{3}$$. arXiv:1803.07417 (2018)

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