Jeffrey C. Lagarias: Papers on packing and tiling

• Approximation Algorithms for Maximizing the Number of Squares Packed in a Rectangle ,
  B. Baker, A. R. Calderbank, E. G. Coffman and J. C. Lagarias,
  SIAM J. Alg. Disc. Methods 4 (1983), pp. 383-397.

• Algorithms for square packing: A probabilistic analysis ,
  E. G. Coffman, Jr. and J. C. Lagarias,
  SIAM J. Computing (1989), pp. 166-185.

• Tiling with polyominoes and combinatorial group theory ,
  J. H. Conway and J. C. Lagarias,
  J. Combinatorial Theory, Series A 53 (1990), pp. 183-208.

• A polyomino tiling problem of Thurston and its configurational entropy ,
  J. C. Lagarias and D. S. Romano,
  J. Combinatorial Theory, Series A 63 (1993), pp. 338-358.

• Self-packing of Centrally Symmetric Convex Bodies in R^2 ,
  P. G. Doyle, J. C. Lagarias and D. S. Randall,
  Discrete & Computational Geometry 8 (1992), pp. 171-189.

• Keller's Cube Tiling Conjecture is False in High Dimensions ,
  Jeffrey C. Lagarias and Peter W. Shor,
  Bull. Amer. Math. Soc. 27 (1992), pp. 279-283.

• Cube Tilings in R^n and Nonlinear Codes ,
  J. C. Lagarias and P. W. Shor,
  Discrete & Computational Geometry 11 (1994), pp. 359-391.

• Polytopes that fill R^n and scissors congruence ,
  J. C. Lagarias and D. Moews,
  Discrete & Computational Geometry 13 (1995), pp. 573-584.
  [ Acknowledgement of Priority , ibid,14 (1995), pp. 359-360.]

• Haar-type Orthonormal Wavelet Bases in R^2 ,
  Jeffrey C. Lagarias and Yang Wang,
  J. Fourier Anal. Appl. 2 (1995) 1-14.

• Haar Bases for L^2(R^n) and Algebraic Number Theory,
  Jeffrey C. Lagarias and Yang Wang,
  J. Number Theory 57 (1996), pp. 181-197.

• Tiling the line with translates of one tile ,
  Jeffrey C. Lagarias and Yang Wang,
  Inventiones math. 124 (1996), pp. 341-365.

• Structure of tilings of the line by a function ,
  Mihail N. Kolountzakis and Jeffrey C. Lagarias,
  Duke Math. J. 82 (1996), pp. 653-678. [PostScript]

• Self-Affine Tiles in R^n ,
  Jeffrey C. Lagarias and Yang Wang,
  Advances in Math. 121 (1996), pp. 21-49.

• Integral Self-Affine Tiles in R^n I. Standard and Nonstandard Digit Sets ,
  Jeffrey C. Lagarias and Yang Wang,
  J. London Math. Soc. 54 (1996), pp. 161-179.

• Integral Self-Affine Tiles in R^n II. Lattice Tilings ,
  Jeffrey C. Lagarias and Yang Wang,
  J. Fourier Anal. Appl. 3 (1997), pp. 83-102.

• Spectral Sets and Factorizations of Finite Abelian Groups ,
  Jeffrey C. Lagarias and Yang Wang,
  J. Functional Analysis, 143 (1997), pp. 73-98. [PostScript]  [Pdf]

• Universal spectra and Tijdeman's conjecture on factorization of cyclic groups ,
  J. C. Lagarias and Sandor Szabo,
  J. Fourier Anal. Appl. 7 (2001), 63--70 . [PostScript]  [Pdf]

• Beyond the Descartes circle theorem ,
  J. C. Lagarias, C. L. Mallows and A. Wilks,
  Amer. Math. Monthly 109 (2002), 338--361. [PostScript]  [Pdf]

• Counting dyadic equipartitions of the unit square ,
  J. C. Lagarias, J. H. Spencer and J. P. Vinson,
  Discrete Math. 257 (2002), No. 2-3, 481--499 . [PostScript]  [Pdf]

• Bounds for local density of sphere packings and the Kepler conjecture ,
  J. C. Lagarias,
  Discrete & Computational Geometry 27 (2002), 165--193. [PostScript]  [Pdf]

• Apollonian Packings: Number Theory ,
  R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks, and C. H. Yan ,
  J. Number Theory 100 (2003), 1--45. . [PostScript]  [Pdf]

• Substitution Delone Sets ,
  J. C. Lagarias and Yang Wang,
  Discrete & Computational Geometry 29 (2003), No. 2, 175--209 . [PostScript]  [Pdf]

• Apollonian Circle Packings: Geometry and Group Theory, I. The Apollonian group ,
  R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks and C. H. Yan ,
  Discrete & Computational Geometry 34 (2005), 547--585.
  eprint on arXiv . [arxiv.org/math.MG/0010298]

• Apollonian Circle Packings: Geometry and Group Theory, II. Super-Apollonian group and Integral Packings ,
  R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks and C. H. Yan ,
  Discrete & Computational Geometry 35 (2006), 1--36.
  eprint on arXiv . [arxiv.org/math.MG/0010302]

• Apollonian Circle Packings: Geometry and Group Theory, III. Higher dimensions ,
  R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks and C. H. Yan ,
  Discrete & Computational Geometry 35 (2006), 37--72.
  eprint on arXiv [arxiv.org/math.MG/0010324]

• Apollonian Packings: Number Theory II. Spherical and Hyperbolic Packings ,
  N. Eriksson and J. C. Lagarias,
  The Ramanujan Journal 14 (2007), no. 3, 437--469. eprint on arXiv [arxiv.org/abs/math/0403296]