Carl W. Lee

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All published works

Action	Title	Year	Authors
+ PDF Chat	Foundations of space-time finite element methods: Polytopes, interpolation, and integration	2021	Cory V. Frontin Gage Walters Freddie Witherden Carl W. Lee David Williams David Darmofal
+	Foundations of space-time finite element methods: polytopes, interpolation, and integration	2020	Cory V. Frontin Gage Walters Freddie Witherden Carl W. Lee David Williams David Darmofal
+	Foundations of space-time finite element methods: polytopes, interpolation, and integration	2020	Cory V. Frontin Gage Walters Freddie Witherden Carl W. Lee David M. G. Williams David Darmofal
+	On Triangulations of the 3-Ball and the Solid Torus	2018	Géza Bohus William Jockusch Carl W. Lee Nagabhushana Prabhu
+	Predicting Student Achievement Using Measures of Teachers' Knowledge for Teaching Geometry	2017	Margaret J. Mohr‐Schroeder Robert N. Ronau Susan A. Peters Carl W. Lee William S. Bush
+	Recovering Lexicographic Triangulations	2017	Carl W. Lee Wendy Weber
+	Mathematical Connections and Their Relationship to Mathematics Knowledge for Teaching Geometry	2013	Jennifer A. Eli Margaret J. Mohr‐Schroeder Carl W. Lee
+	On the numbers of faces of low-dimensional regular triangulations and shellable balls	2011	Carl W. Lee Laura Schmidt
+	Exploring mathematical connections of prospective middle-grades teachers through card-sorting tasks	2011	Jennifer A. Eli Margaret J. Mohr‐Schroeder Carl W. Lee
+	A generalized sewing construction for polytopes	2010	Carl W. Lee Matthew M. Menzel
+	Sweeping the cd-Index and the Toric h-Vector	2010	Carl W. Lee
+	On a triangulation of the 3-ball and the solid torus	1998	Ge ́za Bohus William Jockusch Carl W. Lee Nagabhushana Prabhu
+	Generalized Stress and Motions	1994	Carl W. Lee
+	Combinatorial Aspects of Convex Polytopes	1993	Margaret M. Bayer Carl W. Lee
+	The Banach-Tarski Paradox: How to Disassemble a Ball the Size of a Pea and Reassemble it into a Ball the Size of the Sun Based on notes taken at a talk at Yale in the early 1970's (I do not remember who gave the lecture)	1992	Carl W. Lee
+	Some recent results on convex polytopes	1990	Carl W. Lee
+	The Associahedron and Triangulations of the n-gon	1989	Carl W. Lee
+	<i>An Introduction to Convex Polytopes.</i> By Arne Brøndsted	1986	Carl W. Lee
+ PDF Chat	An Introduction to Convex Polytopes.	1986	Carl W. Lee Arne Brøndsted
+ PDF Chat	On the cone of nonnegative circuits	1986	Alan J. Hoffman Carl W. Lee
+	Two combinatorial properties of a class of simplicial polytopes	1984	Carl W. Lee
+	Bounding the Numbers of Faces of Polytope Pairs and Simple Polyhedra	1984	Carl W. Lee
+	On k-stacked polytopes	1984	Peter Kleinschmidt Carl W. Lee
+	The Numbers of Faces of Polytope Pairs and Unbounded Polyhedra	1981	Louis J. Billera Carl W. Lee
+	A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes	1981	Louis J. Billera Carl W. Lee
+ PDF Chat	Sufficiency of McMullen’s conditions for 𝑓-vectors of simplicial polytopes	1980	Louis J. Billera Carl W. Lee

Common Coauthors

Coauthor	Papers Together
Margaret J. Mohr‐Schroeder	3
Gage Walters	3
Cory V. Frontin	3
Louis J. Billera	3
David Darmofal	3
Freddie Witherden	3
Nagabhushana Prabhu	2
William Jockusch	2
Jennifer A. Eli	2
David Williams	2
D. R. M. Williams	1
Alan J. Hoffman	1
Wendy Weber	1
Laura Schmidt	1
Arne Brøndsted	1
Susan A. Peters	1
Robert N. Ronau	1
Ge ́za Bohus	1
Matthew M. Menzel	1
Géza Bohus	1
Peter Kleinschmidt	1
William S. Bush	1
Margaret M. Bayer	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The number of faces of a simplicial convex polytope	1980	Richard P. Stanley	9
+	A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes	1981	Louis J. Billera Carl W. Lee	8
+	Convex polytopes and the upper bound conjecture	1971	Peter McMullen G. C. Shephard J. E. Reeve Alan Ball	7
+	A generalized lower‐bound conjecture for simplicial polytopes	1971	Peter McMullen David W. Walkup	6
+	Cohen-Macaulay Complexes	1977	Richard P. Stanley	6
+	The maximum numbers of faces of a convex polytope	1970	Peter McMullen	5
+	The Numbers of Faces of Polytope Pairs and Unbounded Polyhedra	1981	Louis J. Billera Carl W. Lee	5
+	The Upper Bound Conjecture and Cohen-Macaulay Rings	1975	Richard P. Stanley	5
+ PDF Chat	Polytope pairs and their relationship to linear programming	1974	Victor Klee	5
+	Hilbert functions of graded algebras	1978	Richard P. Stanley	4
+	Counting the faces of simplicial convex polytopes	1981	Carl William Lee	4
+ PDF Chat	A proof of the lower bound conjecture for convex polytopes	1973	David Barnette	4
+	The minimum number of vertices of a simple polytope	1971	David Barnette	4
+	Lectures on Polytopes	1994	Günter M. Ziegler	3
+	A simple way to tell a simple polytope from its graph	1988	Gil Kalai	3
+	On the upper-bound conjecture for convex polytopes	1971	Peter McMullen	3
+ PDF Chat	Sufficiency of McMullen’s conditions for 𝑓-vectors of simplicial polytopes	1980	Louis J. Billera Carl W. Lee	3
+	An Introduction to Convex Polytopes	1983	Arne Brøndsted	3
+	Sch�lbare Cohen-Macauley-Komplexe und ihre Parametrisierung	1979	B. Kind Peter Kleinschmidt	3
+	Content Knowledge for Teaching	2008	Deborah Loewenberg Ball Mark Hoover Geoffrey Phelps	3
+	Rigidity and the lower bound theorem 1	1987	Gil Kalai	3
+	Neighborly polytopes	1982	Ido Shemer	3
+ PDF Chat	The unimodality conjecture for convex polytopes	1981	Anders Björner	2
+ PDF Chat	The Measurement of Observer Agreement for Categorical Data	1977	J. Richard Landis Gary G. Koch	2
+	The extended f-vectors of 4-polytopes	1987	Margaret M. Bayer	2
+	Linear Programming and Extensions	1963	George B. Dantzig	2
+	Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra	1980	J. Scott Provan Louis J. Billera	2
+ PDF Chat	The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions	2015	Christoph Lehrenfeld	2
+	Rigidity and the Alexandrov-Fenchel inequality	1992	P. Filliman	2
+	Lectures on 0/1-Polytopes	2000	Günter M. Ziegler	2
+	Space–time finite element techniques for computation of fluid–structure interactions	2005	Tayfun E. Tezduyar Sunil Sathe Ryan Keedy Keith Stein	2
+ PDF Chat	Numerical integration over simplexes	1956	Preston C. Hammer Arthur H. Stroud	2
+	Characterization off-vectors of families of convex sets inR d Part I: Necessity of Eckhoff’s conditions	1984	Gil Kalai	2
+	A comparison of primal and dual methods of linear programming	1966	Victor Klee	2
+	Spheres with few vertices	1972	P. Mani	2
+	Space–Time Discontinuous Galerkin Finite Element Method with Dynamic Grid Motion for Inviscid Compressible Flows	2002	J.J.W. van der Vegt H. van der Ven	2
+	The numbers of faces of simplicial polytopes	1971	Peter McMullen	2
+	Approximate Calculation of Multiple Integrals	1973	W. G. A. H. Stroud	2
+ PDF Chat	An unshellable triangulation of a tetrahedron	1958	Mary Ellen Rudin	2
+	Two-Variable Analogues of the Classical Orthogonal Polynomials	1975	Tom H. Koornwinder	2
+	Consistent Structures of Invariant Quadrature Rules for the n-Simplex	1995	J. I. Maeztu Eduardo Sáinz de la Maza	2
+ PDF Chat	Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets	1985	Margaret M. Bayer Louis J. Billera	2
+ PDF Chat	Many triangulated spheres	1988	Gil Kalai	2
+	Cohen-Macaulay quotients of polynomial rings	1976	Gerald Allen Reisner	2
+ PDF Chat	�ber die Starrheit konvexer Polyeder	1916	Max Dehn	2
+	Extremal Properties of 0/1-Polytopes of Dimension 5	2000	Oswin Aichholzer	2
+ PDF Chat	A new index for polytopes	1991	Margaret M. Bayer Andrew Klapper	2
+	Shellings of simplicial balls and P.L. manifolds with boundary	1990	Udo Pachner	2
+	On 0/1-polytopes with nonobtuse triangulations	2015	Apo Cihangir	2
+ PDF Chat	What is known about unit cubes	2005	Chuanming Zong	2