Volume 44, Number 1, July 2010

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  Thomas C. Hales, John Harrison, Sean McLaughlin, Tobias Nipkow, Steven Obua, Roland Zumkeller: A Revision of the Proof of the Kepler Conjecture. 1-34
• 
  Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu: Star Unfolding Convex Polyhedra via Quasigeodesic Loops. 35-54
• 
  Tim Austin, Assaf Naor, Alain Valette: The Euclidean Distortion of the Lamplighter Group. 55-74
• 
  Erin W. Chambers, Vin de Silva, Jeff Erickson, Robert Ghrist: Vietoris-Rips Complexes of Planar Point Sets. 75-90
• 
  Joel Hass, Tahl Nowik: Unknot Diagrams Requiring a Quadratic Number of Reidemeister Moves to Untangle. 91-95
• 
  A. Esterov: Newton Polyhedra of Discriminants of Projections. 96-148
• 
  Sven Herrmann, Michael Joswig: Totally Splittable Polytopes. 149-166
• 
  Daniel Pellicer, Asia Ivic Weiss: Combinatorial Structure of Schulte's Chiral Polyhedra. 167-194
• 
  Gabriela Jeronimo, Daniel Perrucci, Juan Sabia: On Sign Conditions Over Real Multivariate Polynomials. 195-222
• 
  Hannah Alpert, Christina Koch, Joshua D. Laison: Obstacle Numbers of Graphs. 223-244

Volume 44, Number 2, September 2010

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  Yoav Kallus, Veit Elser, Simon Gravel: Dense Periodic Packings of Tetrahedra with Small Repeating Units. 245-252
• 
  Elizabeth R. Chen, Michael Engel, Sharon C. Glotzer: Dense Crystalline Dimer Packings of Regular Tetrahedra. 253-280
• 
  Jean-Daniel Boissonnat, Frank Nielsen, Richard Nock: Bregman Voronoi Diagrams. 281-307
• 
  Christopher J. Bishop: Optimal Angle Bounds for Quadrilateral Meshes. 308-329
• 
  Christopher J. Bishop: Conformal Mapping in Linear Time. 330-428
• 
  Roman N. Karasev: Knaster's Problem for (Z₂)^k-Symmetric Subsets of the Sphere S^2k-1. 429-438
• 
  Robert Connelly, Erik D. Demaine, Martin L. Demaine, Sándor P. Fekete, Stefan Langerman, Joseph S. B. Mitchell, Ares Ribó, Günter Rote: Locked and Unlocked Chains of Planar Shapes. 439-462
• 
  Drago Bokal, Éva Czabarka, László A. Székely, Imrich Vrt'o: General Lower Bounds for the Minor Crossing Number of Graphs. 463-483
• 
  Michal Krízek: Erratum to: There Is No Face-to-Face Partition of R⁵ into Acute Simplices. 484-485

Volume 44, Number 3, October 2010

• 
  Steve Butler, Ronald L. Graham, Gerhard Guettler, Colin L. Mallows: Irreducible Apollonian Configurations and Packings. 487-507
• 
  Andreas Brieden, Peter Gritzmann: On Clustering Bodies: Geometry and Polyhedral Approximation. 508-534
• 
  William Steiger, Jihui Zhao: Generalized Ham-Sandwich Cuts. 535-545
• 
  Marian Mrozek: Cech Type Approach to Computing Homology of Maps. 546-576
• 
  Dömötör Pálvölgyi: Indecomposable Coverings with Concave Polygons. 577-588
• 
  Yohji Akama, Kei Irie, Akitoshi Kawamura, Yasutaka Uwano: VC Dimensions of Principal Component Analysis. 589-598
• 
  Rolf Schneider: Vertex Numbers of Weighted Faces in Poisson Hyperplane Mosaics. 599-607
• 
  Roman N. Karasev: A Measure of Non-convexity in the Plane and the Minkowski Sum. 608-621
• 
  Nathan Linial, Roy Meshulam, M. Rosenthal: Sum Complexes - a New Family of Hypertrees. 622-636
• 
  Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfraz Raza: Hitting Simplices with Points in R³. 637-644
• 
  Max Engelstein: The Least-Perimeter Partition of a Sphere into Four Equal Areas. 645-653
• 
  Peter A. Brooksbank, Deborah A. Vicinsky: Three-Dimensional Classical Groups Acting on Polytopes. 654-659
• 
  Eitan Yaffe, Dan Halperin: Approximating the Pathway Axis and the Persistence Diagrams for a Collection of Balls in 3-Space. 660-685
• 
  Tom Leighton, Ankur Moitra: Some Results on Greedy Embeddings in Metric Spaces. 686-705
• 
  Greg Aloupis, Jean Cardinal, Sébastien Collette, Stefan Langerman, David Orden, Pedro Ramos: Decomposition of Multiple Coverings into More Parts. 706-723

Volume 44, Number 4, December 2010

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  Jacob E. Goodman, Ricky Pollack: Valedictory Editorial. 725-726
• 
  Adrian Dumitrescu, Csaba D. Tóth: Long Non-crossing Configurations in the Plane. 727-752
• 
  Roel Apfelbaum, Micha Sharir: An Improved Bound on the Number of Unit Area Triangles. 753-761
• 
  Lyudmil Aleksandrov, Hristo Djidjev, Hua Guo, Anil Maheshwari, Doron Nussbaum, Jörg-Rüdiger Sack: Algorithms for Approximate Shortest Path Queries on Weighted Polyhedral Surfaces. 762-801
• 
  Swiatoslaw R. Gal, Tadeusz Januszkiewicz: Even- vs. Odd-dimensional Charney-Davis Conjecture. 802-804
• 
  David Orden, Pedro Ramos, Gelasio Salazar: The Number of Generalized Balanced Lines. 805-811
• 
  Ileana Streinu, Louis Theran: Slider-Pinning Rigidity: a Maxwell-Laman-Type Theorem. 812-837
• 
  Haim Kaplan, Micha Sharir, Eugenii Shustin: On Lines and Joints. 838-843
• 
  Michael I. Hartley: Covers P for Abstract Regular Polytopes Q such that Q=P/Z_p^k. 844-859
• 
  George B. Purdy, Justin W. Smith: Lines, Circles, Planes and Spheres. 860-882
• 
  Nabil H. Mustafa, Saurabh Ray: Improved Results on Geometric Hitting Set Problems. 883-895
• 
  Steve Butler, Fan R. K. Chung, Ronald L. Graham, Miklós Laczkovich: Tiling Polygons with Lattice Triangles. 896-903
• 
  Mathieu Dutour Sikiric, Achill Schürmann, Frank Vallentin: The Contact Polytope of the Leech Lattice. 904-911
• 
  Jeff Erickson, Pratik Worah: Computing the Shortest Essential Cycle. 912-930
• 
  Matt DeVos, Agelos Georgakopoulos, Bojan Mohar, Robert Sámal: An Eberhard-Like Theorem for Pentagons and Heptagons. 931-945
• 
  Bernd Schulze: Symmetric Versions of Laman's Theorem. 946-972

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