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Patterns in Pascal's Triangle - with a Twist - References

Author(s): 
Kathleen M. Shannon and Michael J. Bardzell

Bardzell, M., and K. Shannon (preprint), Fractal Dimensions of Group Generated 1-Dimensional Cellular Automata, Salisbury University.

Bardzell, M., and K. Shannon (2002), "The PascGalois Triangle: A Tool for Visualizing Absract Algebra," pp. 115-123 in Innovations in Teaching Abstract Algebra (A. C. Hibbard and E. J. Maycock, eds.), MAA Notes #60, Washington, D.C.: Mathematical Association of America.

Boyer, C. B., and U. C. Merzbach (1991), A History of Mathematics, 2nd ed. New York: Wiley

Brown, S., and D. Hathaway (1997), "Fibonacci Powers and a Facinating Triangle," The College Mathematics Journal, 28, 124-128.

Burger, E. B., and M. Starbird (2000), The Heart of Mathematics: An Inviation to Effective Thinking, Emeryville, CA.: Key College Publishing.

Field, M., and M. Golubitsky (1992), Symmetry in Chaos: A Search for Pattern in Mathematics Art and Nature, Oxford: Oxford University Press.

Gleick, J. (1987), Chaos: Making a New Science, New York: Viking Penguin Inc.

Granville, A. (1992), "Zaphod Beeblebrox's Brain and the Fifty-ninth row of Pascal's Triangle," The American Mathematical Monthly, 99, 318-331.

Granville, A. (1997), "Correction to: Zaphod Beeblebrox's Brain and the Fifty-ninth row of Pascal's Triangle, " The American Mathematical Monthly, 104, 848-851.

Gymnich, S. (2002), "A Classification of Simple 1-Dimensional Automata Generated over Cyclic Groups," Proceedings of the National Conference on Undergraduate Research (NCUR), University of Wisconsin-Whitewater.

Long, C. (1981), "Pascal's Triangle Modulo p," Fibonacci Quarterly 19, 458-463.

Miller, N. (2001), "Periodicity and Long-Term Evolution of 2-D Cellular Automata," Proceedings of the National Conference on Undergraduate Research (NCUR), University of Kentucky, Lexington, KY.

Phillips, H. (1961), My Best Puzzles in Logic and Reasoning, New York: Dover Publications.

Wolfram, S. (1984), "Geometry of Binomial Coefficients," The American Mathematical Monthly, 91, 566-571.

Additional Web resources (available as of 11/6/03):

Kathleen M. Shannon and Michael J. Bardzell, "Patterns in Pascal's Triangle - with a Twist - References," Loci (December 2004)

JOMA

Journal of Online Mathematics and its Applications

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