Geometry

Discrete Geometry

52Cxx

  1. Mireille Boutin and Gregor Kemper, On reconstructing n-point configurations from the distribution of distances or areas, Adv. in Appl. Math. 32 (2004), no. 4, 709–735.[MR]
  2. S. Allen Broughton, Robert M. Dirks, Maria T. Sloughter, and C. Ryan Vinroot, Triangular surface tiling groups for low genus, Preprint (2001).
  3. Mathieu Dutour Sikirić, Achill Schürmann, and Frank Vallentin, A generalization of Voronoi's reduction theory and its application, Duke Math. J. 142 (2008), no. 1, 127–164.[MR/arXiv]
  4. Markus Grassl, Computing equiangular lines in complex space, Mathematical Methods in Computer Science, Lecture Notes in Comput. Sci., vol. 5393, 2008, pp. 89-104.
  5. Michael Kiermaier and Sascha Kurz, Maximal integral point sets in affine planes over finite fields, Discrete Math. 309 (2009), no. 13, 4564–4575.[MR]
  6. Peter Lorimer, Hyperbolic pyritohedra constructed from the Coxeter group [4,3,5], Computational Algebra and Number Theory (Sydney, 1992), Math. Appl., vol. 325, Kluwer Acad. Publ., Dordrecht, 1995, pp. 303–321.[MR]
  7. Achill Schürmann, Perfect, strongly eutactic lattices are periodic extreme, Adv. Math 225 (2010), no. 5, 2546–2564.
  8. Achill Schürmann and Frank Vallentin, Computational approaches to lattice packing and covering problems, Discrete Comput. Geom. 35 (2006), no. 1, 73–116.[MR]
  9. P. W. Shor and N. J. A. Sloane, A family of optimal packings in Grassmannian manifolds, J. Algebraic Combin. 7 (1998), no. 2, 157–163.[MR]
  10. N. J. A. Sloane, Packing planes in four dimensions and other mysteries, In Algebraic Combinatorics and Related Topics (Yamagata 1997), ed. E. Bannai and M. Harada and M. Ozeki, Yamagata University, 1999, 21 pages.[arXiv]
  11. N. J. A. Sloane, R. H. Hardin, T. D. S. Duff, and J. H. Conway, Minimal-energy clusters of hard spheres, Discrete Comput. Geom. 14 (1995), no. 3, 237–259.[MR]