[1]    Akopyan, A., Avvakumov, S., Any cyclic quadrilateral can be inscribed in any closed convex smooth curve, Forum Math. Sigma, 6 (2018), e7.
[2]    Christensen, C. M., A square inscribed in a convex figure (in Danish), Matematisk Tidsskrift B, (1950), 22–26.
[3]    Emch, A., Some properties of closed convex curves in a plane, Amer. J. Math., 35 (1913), 407–412.
[4]    Emch, A., On the medians of a closed convex polygon, Amer. J. Math., 37 (1915), 19–28.
[5]    Emch, A., On some properties of the medians of closed continuous curves formed by analytic arcs, Amer. J. Math., 38 (1916), 6–18.
[6]    Guggenheimer, H. W., Finite sets on curves and surfaces, Israel J. Math., 3 (1965), 104–112.
[7]    Hugelmeyer, C., Every smooth Jordan curve has an inscribed rectangle with aspect ratio equal to
3 (2018), available at arXiv: 1803:07417.
[8]    Hugelmeyer, C. , Inscribed rectangles in a smooth Jordan curve attain at least one third of all aspect ratios (2019), available at arXiv:1911.07336.
[9]    Greene, J. E., Lobb, A., The rectangular peg problem (2020), available at arXiv:2005.09193.
[10]    Shevchishin, V. V., Lagrangian embeddings of the Klein bottle and the combinatorial properties of mapping class groups, Izv. Ross. Akad. Nauk Ser. Mat., 73 (2009), 153–224.
[11]    Karasev, R. N., A note on Makeev’s conjectures, J. Math. Sci., 212 (2016), 521–526.
[12]    Lefschetz, S.,Introduction to Topology, Princeton University Press, Princeton, 1949.
[13]    Matschke, B., A survey on the square peg problem, Notices Amer. Math. Soc., 61 (April 2014), 346–351.
[14]    Matschke, B., Quadrilaterals inscribed in convex curves (2018), available at
arXiv:1801:01945v2.

[15]    Meyerson, M. D., Equilateral triangles and continuous curves, Fund. Math., 110 (1980), 1–9.
[16]    Nielsen, M. J., Triangles inscribed in simple closed curves, Geom. Dedicata, 43 (1992), 291–297.
[17]    Nielsen, M. J., Wright, S. E., Rectangles inscribed in symmetric continua, Geom. Dedicata, 56 (1995), 285–297.
[18]    Schwartz, R. E., A trichotomy for rectangles inscribed in Jordan loops, Geom. Dedicata, 208 (2020), 177–196.
[19]    Schnirelman, L. G., On some geometric properties of closed curves (in Russian), Uspekhi Mat. Nauk, 10 (1944), 34–44.
[20]    Stromquist, W. R., Inscribed squares and squarelike quadrilaterals in closed curves, Mathematika, 36 (1989), 187–197.
[21]    Tao, T., An integration approach to the Toeplitz square peg problem, Forum Math. Sigma, 5 (2017), e30.
[22]    Toeplitz, O., Ueber einige Aufgaben der Analysis situs, Verhandlungen der Schweizerischen Natur-forschenden Gesellschaft in Solothurn, 4 (1911), 197.
[23]    Tucker, A. W., Some topological properties of disk and sphere, in Proc. First Canadian Mathematical Congress (Montreal, 1945), University Toronto Press, 1946, 285–309.
[24]    Vaughan, H., Rectangles and simple closed curves, Lecture, University of Illinois at Urbana-Champagne.
[25]    Zindler, K., Über konvexe Gebilde, Monatsheftefür Mathematik und Physik, 31 (1921), 25–56.

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