Thomas C. Hull
Associate Professor of Mathematics

General Information
School: College of Arts and Sciences
Department: Mathematics

Contact Information
Office: H 310A
Phone: 413-782-1261
Campus Box #: 5174
Web Page:

BA Mathematics, 1991, Hampshire College
MS Mathematics, 1993, University of Rhode Island
Ph.D. Mathematics, 1997, University of Rhode Island

Areas of Interest
Mathematics of Origami
Using math to understand the laws behind paper folding.  This has applications in engineering, materials science, art, and education, as well as being an interesting math subject in its own right.
Graph Theory
Studying properties of graphs (networks of points and lines), in particular graph colorings.
Euclidean, non-Euclidean, projective, and fractal geometry, especially as they apply to origami.

Additional Information

Tom Hull is a leading expert on the mathematics of origami (paper folding) and has given talks on this topic all over the world.  His research uses graph theory, combinatorics, geometry, and other areas of math, with applications in engineering, materials science, art, and education.  He is the faculty advisor of the Math Club,  he enjoys having students be involved in his research, and he teaches regularly in our graduate Masters in Mathematics for Teachers (MAMT) program.  He also likes playing Ultimate Frisbee and reading supernatural horror.

Courses Taught
MATH 131, Calculus I
MATH 132, Calculus II
MATH 235, Calculus III
MATH 306, Linear Algebra
MATH 371, Modern Aspects of Geometry
MATH 375, Creative Problem Solving
MATH 379, Graph Theory
MATH 378, Combinatorics
MATH 421, Real Analysis
MATH 427, Complex Analysis
MAMT 540, Calculus Revisited
MAMT 544, Creative Problem Solving
MAMT 550, Discrete Mathematics
MAMT 552, Geometry Revisited
MAMT 564, Analysis
MAMT 566, Algebraic Structures
MAMT 590, Origami in Mathematics and Education
MAMT 590, Topology and Fractals

Thomas C. Hull (2012). Project Origami: activities for exploring mathematics, 2nd Edition. MA: AK Peters/CRC Press.
Thomas C. Hull (2002). Origami^3: Third International Meeting of Origami Science, Math, and Education. MA: AK Peters/CRC Press.
Book Chapters
Thomas C. Hull (2009). Folding regular heptagons. In E. Pegg, A. Schoen, T. Rogers (Eds.), Homage to a Pied Puzzler (pp. 181-191) Natick, MA: A K Peters.
Journal Articles
J.-H. Na, A. A. Evans, J. Bae, M. C. Chiappelli, C. D. Santangelo, R. J. Lang, T. C. Hull, and R. C. Hayward (2015, January). Programming reversibly self-folding origami with micro-patterned photo-crosslinkable polymer trilayers. Advanced Materials ,27, 79-85.
B. Ballinger, M. Damian, D. Eppstein, R. Flatland, J. Ginepro, T. Hull (2015). Minimum forcing sets for Miura folding patterns. ACM-SIAM Symposium on Discrete Algorithms (SODA15), 136-147.
Jessica Ginepro and Thomas C. Hull (2014, November). Counting Miura-ori Foldings. Journal of Integer Sequences ,17, Article 14.10.8.
J. L. Silverberg, A. A. Evans, Lauren McLeod, Ryan Hayward, Thomas Hull, Christian D. Santangelo, I. Cohen (2014, August). Using origami design principles to fold reprogrammable mechanical metamaterials. Science ,345, 647-650.
Thomas C. Hull (2011, April). Solving cubics with creases: the work of Beloch and Lill. The American Mathematical Monthly ,118, 307-315.
Thomas C. Hull and Eric Chang (2011). The flat vertex fold sequences. Origami^5: Fifth International Meeting of Origami Sceince, Mathematics, and Education, 599-607.
Thomas C. Hull (2009). Configuration spaces for flat vertex folds. Origami^4: Fourth International Meeting of Origami Science, Mathematics, and Education, 361-370.
Thomas C. Hull (2006, February). H.P. Lovecraft: a horror in higher dimensions. Math Horizons, 10-12.
Thomas C. Hull (2003). Counting mountain-valley assignments for flat folds. Ars Combinatorica ,67, 175-188.
sarah-marie belcastro and Thomas Hull (2002). Classifying frieze patterns without using groups. The College Mathematics Journal ,33, 93-98.
sarah-marie belcastro and Thomas Hull (2002). Modelling the folding of paper into three dimensions using affine transformations. Linear Algebra and its Applications ,348, 273-282.
Nancy Eaton and Thomas C. Hull (1997). Defective list colorings of planar graphs. Bulletin of the Institute of Combinatorics and its Applications ,25, 79-87.
Thomas C. Hull (1996). A note on "impossible" paper folding. American Mathematical Monthly ,103, 242-243.
Thomas C. Hull (1994). On the mathematics of flat origamis. Congressus Numerantium ,100, 215-224.