A Revision of the Proof of the Kepler Conjecture Thomas C. HalesJohn HarrisonRoland Zumkeller OriginalPaper 17 March 2009 Pages: 1 - 34
Star Unfolding Convex Polyhedra via Quasigeodesic Loops Jin-ichi ItohJoseph O’RourkeCostin Vîlcu OriginalPaper 11 September 2009 Pages: 35 - 54
The Euclidean Distortion of the Lamplighter Group Tim AustinAssaf NaorAlain Valette OriginalPaper 17 April 2009 Pages: 55 - 74
Vietoris–Rips Complexes of Planar Point Sets Erin W. ChambersVin de SilvaRobert Ghrist OriginalPaper 08 July 2009 Pages: 75 - 90
Unknot Diagrams Requiring a Quadratic Number of Reidemeister Moves to Untangle Joel HassTahl Nowik OriginalPaper Open access 18 March 2009 Pages: 91 - 95
Newton Polyhedra of Discriminants of Projections A. Esterov OriginalPaper 06 February 2010 Pages: 96 - 148
Totally Splittable Polytopes Sven HerrmannMichael Joswig OriginalPaper 19 August 2009 Pages: 149 - 166
Combinatorial Structure of Schulte’s Chiral Polyhedra Daniel PellicerAsia Ivić Weiss OriginalPaper 18 February 2010 Pages: 167 - 194
On Sign Conditions Over Real Multivariate Polynomials Gabriela JeronimoDaniel PerrucciJuan Sabia OriginalPaper 23 June 2009 Pages: 195 - 222
Obstacle Numbers of Graphs Hannah AlpertChristina KochJoshua D. Laison OriginalPaper 03 December 2009 Pages: 223 - 244