Publications

- Mircea Pitici, ed.
*The Best Writing on Mathematics 2014*, Princeton University Press, Princeton, NJ 2015. Contains my article “The fundamental theorem of algebra for artists,” coauthored with Bahman Kalantari. - Mircea Pitici, ed.
*The Best Writing on Mathematics 2012*, Princeton University Press, Princeton, NJ 2012. Contains my articles “Mathematics meets photography” parts I and II, coauthored with David Swart. - E. Torrence and B. Torrence,
*The Student's Introduction to Mathematica, second ed.*, Cambridge University Press, New York, 2009.

- B. Torrence and R. Torrence, “Fibonacci, Lucas, and a game of chance,”
*Mathematics Magazine*,**89**(5), Dec. 2016, 342-351. - B. Torrence and R. Torrence, “An Iterative Strategy for Lights out on Petersen graphs,”
*Involve - A Journal of Mathematics*,**9**No. 5 (2016), 721-732. - B. Kalantari and B. Torrence, “The fundamental theorem of algebra for artists,”
*Math Horizons*,**20**(4), Apr. 2013, 26-29. - B. Torrence, “The 100th birthday of Paul Erdős,”
*Math Horizons*,**20**(4), Apr. 2013, 10. - B. Torrence, “The easiest lights out games,”
*The College Mathematics Journal*,**42**(5), Nov. 2011, 361-372. - D. Swart and B. Torrence, “Mathematics meets photography, part II: Conformal is the new normal,”
*Math Horizons*, Nov. 2011, 24-27. - D. Swart and B. Torrence, “Mathematics meets photography, part I: The viewable sphere,”
*Math Horizons*, Sep. 2011, 14-17. - B. Torrence, “Gathering for Gardner,”
*Math Horizons*, Sep. 2010, 14-17. - D. Kalman and B. Torrence, “Keeping dry - the mathematics of running in the rain,”
*Mathematics Magazine*,**84**(4), Oct. 2009, 266-277. - B. Torrence, “A conversation with Stephen Wolfram,”
*Math Horizons*, Apr. 2009, 8-10. - L. Lawson (student) and B. Torrence, “Real polynomials, complex roots, and enchanting ellipses,”
*Pi Mu Epsilon Journal*,**12**No. 9 (2008), 541-546. - S. Wagon and B. Torrence, “The Locker Problem,”
*Crux Mathematicorum*,**33**(4), May 2007, 232-236. - T. Kim, N. Nichols (students) and B. Torrence, “Traffic in the center of the universe,”
*UMAP Journal*,**22**, No. 2 (2001), 97-110. - T. Selden (student) and B. Torrence, “If Pascal had a Computer,”
*Math Horizons*, Nov. 2001, 15-20. - J. Jones (student) and B. Torrence, “The case of the missing case, the completion of a proof by Ronald Graham,”
*Pi Mu Epsilon Journal*, Vol. 10, No. 2 (1999), 772-778. - R. Squire, B. Torrence, and A. Vogt, “The number of edges in a subgraph of a Hamming graph,”
*Applied Math Letters*,**14**, (2001), 701-705. - D. Hou and B. Torrence, “Involutions fixing the disjoint union of copies of even projective space,”
*Acta Mathematica Sinica, New Series*,**12**, No. 2 (1996), 162-166. - D. Hou and B. Torrence, “Involutions fixing the disjoint union of odd-dimensional projective spaces,”
*Canadian Mathematical Bulletin*,**37**(1994), 66-74. - B. Torrence, “Bordism classes of vector bundles over real projective spaces,”
*Proceedings of the American Mathematical Society*,**118**(1993), 963-969.

*Taylor polynomials in several variables*, Mathematica in Education and Research,**10**, No. 1 (2005), 74-77.*Roots of polynomials and their derivatives*, Mathematica in Education and Research,**10**, No. 2 (2005), 71-80.*Combining 3D graphics*, Mathematica in Education and Research,**10**, No. 3 (2005), 72-82.*Displaying numbers*, Mathematica in Education and Research,**10**, No. 4 (2005), 72-80.*Extending the locker problem*, Mathematica in Education and Research,**11**, No. 1 (2006), 83-95.*DNA sequence alignment Ð Part I*, Mathematica in Education and Research,**11**, No. 2 (2006), 211-222.*DNA sequence alignment Ð Part II*, Mathematica in Education and Research,**11**, No. 3 (2006), 338-369.*A nod to the traveling salesman*, Mathematica in Education and Research,**11**, No. 4 (2006), 455-469.*A nod to the traveling salesman*, Mathematica in Education and Research,**12**, No. 1 (2007), 72-82.*Fun with continued fractions*, Mathematica in Education and Research,**12**, No. 2 (2007), 136-148.*Paclets*, Mathematica in Education and Research,**12**, No. 3 (2007), 213-217.*Conics and Cubics*, Mathematica in Education and Research,**12**, No. 4 (2007), 305-317.