List of shapes with known packing constant (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "List of shapes with known packing constant" in English language version.

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69^th place

59^th place

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6,413^th place

4,268^th place

arxiv.org

Bezdek, András; Kuperberg, Włodzimierz (2010). "Dense packing of space with various convex solids". arXiv:1008.2398v1 [math.MG].
Cohn, Henry; Kumar, Abhinav (2009). "Optimality and uniqueness of the Leech lattice among lattices". Annals of Mathematics. 170 (3): 1003–1050. arXiv:math/0403263. doi:10.4007/annals.2009.170.1003. S2CID 10696627.
Chang, Hai-Chau; Wang, Lih-Chung (2010). "A Simple Proof of Thue's Theorem on Circle Packing". arXiv:1009.4322v1 [math.MG].
Hales, Thomas; Kusner, Wöden (2016). "Packings of regular pentagons in the plane". arXiv:1602.07220 [math.MG].
Kusner, Wöden (2014). "Upper bounds on packing density for circular cylinders with high aspect ratio". Discrete & Computational Geometry. 51 (4): 964–978. arXiv:1309.6996. doi:10.1007/s00454-014-9593-6. S2CID 38234737.
Viazovska, Maryna (2016). "The sphere packing problem in dimension 8". Annals of Mathematics. 185 (3): 991–1015. arXiv:1603.04246. doi:10.4007/annals.2017.185.3.7. S2CID 119286185.

Cohn, Henry; Kumar, Abhinav (2009). "Optimality and uniqueness of the Leech lattice among lattices". Annals of Mathematics. 170 (3): 1003–1050. arXiv:math/0403263. doi:10.4007/annals.2009.170.1003. S2CID 10696627.
Reinhardt, Karl (1934). "Über die dichteste gitterförmige Lagerung kongruente Bereiche in der Ebene und eine besondere Art konvexer Kurven". Abh. Math. Sem. Univ. Hamburg. 10: 216–230. doi:10.1007/bf02940676. S2CID 120336230.
Mount, David M.; Silverman, Ruth (1990). "Packing and covering the plane with translates of a convex polygon". Journal of Algorithms. 11 (4): 564–580. doi:10.1016/0196-6774(90)90010-C.
Bezdek, András; Kuperberg, Włodzimierz (1990). "Maximum density space packing with congruent circular cylinders of infinite length". Mathematika. 37: 74–80. doi:10.1112/s0025579300012808.
Kusner, Wöden (2014). "Upper bounds on packing density for circular cylinders with high aspect ratio". Discrete & Computational Geometry. 51 (4): 964–978. arXiv:1309.6996. doi:10.1007/s00454-014-9593-6. S2CID 38234737.
Viazovska, Maryna (2016). "The sphere packing problem in dimension 8". Annals of Mathematics. 185 (3): 991–1015. arXiv:1603.04246. doi:10.4007/annals.2017.185.3.7. S2CID 119286185.

Cohn, Henry; Kumar, Abhinav (2009). "Optimality and uniqueness of the Leech lattice among lattices". Annals of Mathematics. 170 (3): 1003–1050. arXiv:math/0403263. doi:10.4007/annals.2009.170.1003. S2CID 10696627.
Reinhardt, Karl (1934). "Über die dichteste gitterförmige Lagerung kongruente Bereiche in der Ebene und eine besondere Art konvexer Kurven". Abh. Math. Sem. Univ. Hamburg. 10: 216–230. doi:10.1007/bf02940676. S2CID 120336230.
Kusner, Wöden (2014). "Upper bounds on packing density for circular cylinders with high aspect ratio". Discrete & Computational Geometry. 51 (4): 964–978. arXiv:1309.6996. doi:10.1007/s00454-014-9593-6. S2CID 38234737.
Viazovska, Maryna (2016). "The sphere packing problem in dimension 8". Annals of Mathematics. 185 (3): 991–1015. arXiv:1603.04246. doi:10.4007/annals.2017.185.3.7. S2CID 119286185.