1. Simple Proofs of Classical Theorems in Discrete Geometry via the Guth–Katz Polynomial Partitioning Technique

   • Haim Kaplan
   • Jiří Matoušek
   • Micha Sharir

   OriginalPaper 25 July 2012 Pages: 499 - 517

   

2. Computing Pseudotriangulations via Branched Coverings

   • Luc Habert
   • Michel Pocchiola

   OriginalPaper 02 August 2012 Pages: 518 - 579

   

3. Affine Properties of Convex Equal-Area Polygons

   • Marcos Craizer
   • Ralph C. Teixeira
   • Moacyr A. H. B. da Silva

   OriginalPaper 02 August 2012 Pages: 580 - 595

   

4. The Inverse Moment Problem for Convex Polytopes

   • Nick Gravin
   • Jean Lasserre
   • Sinai Robins

   OriginalPaper 01 May 2012 Pages: 596 - 621

   

5. Coning, Symmetry and Spherical Frameworks

   • Bernd Schulze
   • Walter Whiteley

   OriginalPaper 04 May 2012 Pages: 622 - 657

   

6. Extended Formulations for Polygons

   • Samuel Fiorini
   • Thomas Rothvoß
   • Hans Raj Tiwary

   OriginalPaper 16 March 2012 Pages: 658 - 668

   

7. On the Connectivity of Visibility Graphs

   • Michael S. Payne
   • Attila Pór
   • David R. Wood

   OriginalPaper 18 July 2012 Pages: 669 - 681

   

8. Simplicial Arrangements with up to 27 Lines

   • M. Cuntz

   OriginalPaper 21 March 2012 Pages: 682 - 701

   

9. A Note on Aperiodic Ammann Tiles

   • Shigeki Akiyama

   OriginalPaper 08 March 2012 Pages: 702 - 710

   

10. The Art Gallery Theorem for Polyominoes

    • Therese Biedl
    • Mohammad T. Irfan
    • Joseph S. B. Mitchell

    OriginalPaper 09 May 2012 Pages: 711 - 720

    

11. An Application of Shadow Systems to Mahler’s Conjecture

    • Matthieu Fradelizi
    • Mathieu Meyer
    • Artem Zvavitch

    OriginalPaper 06 July 2012 Pages: 721 - 734

12. On Integral Well-rounded Lattices in the Plane

    • Lenny Fukshansky
    • Glenn Henshaw
    • Samuel Whitehead

    OriginalPaper 06 June 2012 Pages: 735 - 748

13. Determining a Rotation of a Tetrahedron from a Projection

    • Richard J. Gardner
    • Paolo Gronchi
    • Thorsten Theobald

    OriginalPaper 19 July 2012 Pages: 749 - 765

    

14. Kadets-Type Theorems for Partitions of a Convex Body

    • Arseniy Akopyan
    • Roman Karasev

    OriginalPaper 18 July 2012 Pages: 766 - 776

    

15. The Structure of Cube Tilings Under Symmetry Conditions

    • Andrzej P. Kisielewicz
    • Krzysztof Przesławski

    OriginalPaper Open access 19 July 2012 Pages: 777 - 782

    

16. Notes About the Carathéodory Number

    • Imre Bárány
    • Roman Karasev

    OriginalPaper 20 July 2012 Pages: 783 - 792