Mathematics Department, Worcester Polytechnic Institute 100 Institute Road, Worcester, MA 01609-2280 Tel: (508) 831-5361 Fax: (508) 831-5824
polar movie
fieldstalk
Pittsburgtalk Rigidity Slides conic movie Tufts 2009 Travelling Salesmen Tours of WPI Campus The Wreatholite zeolites talk zeolite 91 zeolite 93 zeolite01 overlap Fitchburg Talk outers6talk koper koch bananacube dualrot dualspin hassan03 spdechedron01 spdechedron03 torus01 wheel7 wheel7b hex 1 hex 2 hex 3 pseudo3 pseudo4 Oregon Talk MQP Topics. HyperTriangle 2 HyperTriangle 3 HyperTriangle 3B HyperTriangle6 HyperTriangle 6B Geometric Series. A vector field up close. Power Point PDF Tensegrity Workshop at les Moutons Matheux -- Centre de recherche du Larzac méridional, July 2007. Proving Desargues from Pappus spdechedron01 spdechedron03 Today's lecture Molecular Conjecture in 2D (at 16th Fall Workshop on Computational and Combinatorial Geometry - Smith College 2006 ) Rigidity, Connectivity, and Graph Decompositions (at Workshop: Flexibility of Polyhedra and Frameworks, E.Schrödinger Inst., 2006 ) Rigidity and Global Rigidity (at Discrete Mathematics Day at Mt. Holyoke College - April 2005 ) Combinatorics catalogs Geometry - Geometry generates Combinatorics (at MD-DC-VA Section of the MAA Fall 2005 Meeting ) The State of U.S. Science as reflected in restored 18'th century patents (at Vega Days - Slovenia, 2004 ) Editorial Work Fields of Interest Books Selected Articles by Topic Structural Rigidity Symmetry and Duality Computer Aided Design Network Theory Group Theory Mathematics Teaching Student Activities Student Projects Education Editorial Work PME Journal College Math Journal Fields of Interest Combinatorics Rigiditiy of Structures Geometric Foundations of Computer Aided Design Symmetry and Duality The History and Philosophy of Mathematics (back to contents). Books "Combinatorial Rigidity," Graudate Studies in Math., AMS Press, 1993. "The Bracing of Grids," The GEOMAP Project, COMAP, 1995. "Matroid Theory," Contemporary Math., AMS, 1996. "Planar Rigidity," PhD Disseration, Syracuse University, 1987. (back to contents). Selected Articles Structural Rigidity "Combinatorial Rigidity," "The Bracing of Grids," "Birigidity in the plane," "On the two dimensional generic rigidity matroid and its dual", "Path decompositions of rigid graphs", "Combinatorics and the rigidity of frameworks", "Abstract and generic rigidity in the plane", "Abstract rigidity in n-space", "Graphs, digraphs, and the rigidity of grids" "On the Rigidity of Ramanujan Graphs", "Planar Minimally Rigid Graphs and Pseudo-triangulations", "Non-crossing frameworks with non-crossing reciprocals", "Combinatorial Pseudo-Triangulations", "The 2-dimensional rigidity of certain families of graphs", Symmetry and Duality "Applying Burnside's lemma to a one-dimensional Escher problem", "The Symmetry of Folding Paper Dolls", "Cayley graphs and connectivity", "Construction and classification of planar Cayley graphs", "A note on the rank of self-dual polyhedra", "Self-dual graphs", "The 24 symmetry pairings of self--duality maps", "Self--dual maps on the sphere", "Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings ", Graph and Network Theory "The Structure of Locally Finite Two-Connected Graphs", "Analyzing the reliability of degradable networks", "2-satisfiability and the diagnosis of faulty processors in massively parallel computing systems", "A note on Gaussian graphs", "Dual Eulerian Graphs,", "A polynomial time algorithm for determining zero euler-petrie genus of an eulerian graph,", Computer Aided Design "Constraining plane configurations in CAD: The combinatorics of direction length designs", "The Geometry of Frameworks: Rigidity, Mechanisms and CAD", Group Theory "Surface subgroups of graph groups", "The finite basis extension property and graph groups", "Groups assembled by free and direct products", "Blanua double", (back to contents). Student Activies Pi Mu Epsilon Putnam Exam Math Awareness Week Math Hour Mathematical Treasure Hunt Bulletin Board Competition (back to contents). Student Projects IQP's Advised MQP's Advised Theses Advised (back to contents). Education Magister der Naturwissenschaften der Universit\"{a}t Graz, Austria 1978 PhD. Syracuse University, 1987. Jack Graver, advisor. Mathematics Master Thesis: \"{U}berlagerungen von Graphen (Coverings of Graphs) Physics Masters Thesis: Das Wasserstoffatom und seine Strahlung (The Hydrogen Atom and its Radiation) PhD Dissertation: "Planar Rigidity," (back to contents). Home page last revised: December 2006.
Pittsburgtalk
Rigidity Slides
conic movie
Tufts 2009
Travelling Salesmen Tours of WPI Campus
The Wreatholite
zeolites talk
zeolite 91
zeolite 93
zeolite01
overlap
Fitchburg Talk
outers6talk
koper
koch
bananacube
dualrot
dualspin
hassan03
spdechedron01
spdechedron03
torus01
wheel7
wheel7b
hex 1
hex 2
hex 3
pseudo3
pseudo4
Oregon Talk
MQP Topics.
HyperTriangle 2
HyperTriangle 3
HyperTriangle 3B
HyperTriangle6
HyperTriangle 6B
Geometric Series.
A vector field up close.
Power Point
PDF
PhD. Syracuse University, 1987. Jack Graver, advisor.
