구쌓기와 원으로 채우기(sphere packing and circle packing)

개요

하위페이지

• 구쌓기와 원으로 채우기(sphere packing and circle packing)
  • Kissing number and sphere packings
  • 서로 접하는 네 원에 대한 데카르트의 정리와 아폴로니우스 개스킷
  • 일본 에도 시대 산액(算額)

역사

• 수학사 연표

메모

• Jenö Szirmai, Hyperball packings in hyperbolic <math>3</math>-space, http://arxiv.org/abs/1405.0248v2
• Hales, Thomas, Mark Adams, Gertrud Bauer, Dat Tat Dang, John Harrison, Truong Le Hoang, Cezary Kaliszyk, et al. “A Formal Proof of the Kepler Conjecture.” arXiv:1501.02155 [cs, Math], January 9, 2015. http://arxiv.org/abs/1501.02155.
• http://www.math.utk.edu/~kens/
• http://www.math.fsu.edu/~aluffi/archive/paper356.pdf

관련논문

• Henry Cohn, Abhinav Kumar, Stephen D. Miller, Danylo Radchenko, Maryna Viazovska, The sphere packing problem in dimension 24, http://arxiv.org/abs/1603.06518v1
• Istvan Szalkai, On Contact Numbers of Finite Lattice Sphere Packings of 20-27 Balls, http://arxiv.org/abs/1603.05390v1
• Henry Cohn, Stephen D. Miller, Some properties of optimal functions for sphere packing in dimensions 8 and 24, http://arxiv.org/abs/1603.04759v1
• Maryna Viazovska, The sphere packing problem in dimension 8, http://arxiv.org/abs/1603.04246v1

• Philippe Moustrou, On the density of cyclotomic lattices constructed from codes, http://arxiv.org/abs/1603.00743v1

리뷰, 에세이, 강의노트

• Oleg R. Musin, Five Essays on the Laszlo Fejes Toth Geometry, arXiv:1604.02776 [math.MG], April 11 2016, http://arxiv.org/abs/1604.02776

• Henry Cohn, Packing, coding, and ground states, http://arxiv.org/abs/1603.05202v1