Frank Sottile: Papers in Computational Geometry

Frank Sottile's Homepage.
For a hard copy, please write me at sottile "at" math.tamu.edu.
Some include one or more appendices or an additional link which amplify some portions of the article.

Papers in Combinatorics,   Geometry,   Schubert calculus,   Combinatorial Hopf Algebras,   Real Algebraic Geometry,   Computational Algebraic Geometry,   and   Applicable Algebraic Geometry.

1
Convex Hulls of Orbits and Orientations of a Moving Protein Domain, with Marco Longinetti and Luca Sgheri, Discrete and Computational Geometry, 43 No. 1 (2010), 54–77.
2
Line problems in nonlinear computational geometry, with Thorsten Theobald. Surveys on Discrete and Computational Geometry - Twenty Years Later, Contemporary Mathematics, 453 AMS, 2008, 411--432.
3
Lines tangent to four triangles in three-dimensional space with Hervé Brönnimann, Olivier Devillers, and Sylvain Lazard. Discrete and Computational Geometry, 37, No. 3, (2007), 369--380. Companion web page.
4
Cremona Convexity, Frame Convexity, and a Theorem of Santaló, with Jacob E. Goodman, Andreas Holmsen, Richard Pollack, and Kristian Ranestad. Advances in Geometry, 6, No. 3, (2006), 301--322.
5
Transversals to line segments in R3, with Hervé Brönnimann, Hazel Everett, Sylvain Lazard, and Sue Whitesides, Discrete and Computational Geometry, Volume 34, Number 3, (2005), 381--390. Companion web page.
6
Real k-flats tangent to quadrics in Rn, with Thorsten Theobald. Proc. Amer. Math. Soc., 133 (2005), 2835--2844.
7
The envelope of lines meeting a fixed line and tangent to two spheres, with Gábor Megyesi, Discrete and Computational Geometry, 33, Number 4, (2005) 617–644.     Companion web page.
8
Common transversals and tangents to two lines and two quadrics in P3, with Gábor Megyesi and Thorsten Theobald. Discrete and Computational Geometry, 30, (2003), 543–571.     Companion Web Page.
9
Enumerative Real Algebraic Geometry, in Algorithmic and Quantitative Aspects of Real Algbraic Geometry, S. Basu and L. Gonzalez-Vega, eds., DIMACS series 60, AMS, 2003. pp. 139--180.       Expanded on-line version.
10
Lines tangent to 2n-2 spheres in Rn, with Thorsten Theobald, Trans. Amer. Math. Soc., 354 (2002), 4815--4829.   Some pictures and computer code.
Last modified 18 March 2012