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Arithmetic Billiards Cover

References

  1. [Gar84] Martin Gardner, Sixth Book of Mathematical Diversions from “Scientific American”, University of Chicago Press, Paperback 1984, ISBN: 0226282503. (See pp. 211–215)
  2. [GF13] Hema Gopalakrishnan and Stephanie Furman, Pool Table Geometry, Math Circle Poster and Activity Session, JMM2013 San Diego, http://sigmaa.maa.org/mcst/PosterActivitySessions/documents/PoolTableActivity.pdf.
  3. [Lap04] Glenda Lappan, James T. Fey, William M. Fitzgerald, Susan N. Friel, and Elizabeth Difanis Phillips, Comparing and Scaling: Ratio, Proportion, and Percent in Connected Mathematics Project, Upper Saddle River NJ, Pearson Prentice Hall, 2004. ISBN: 0131656352. (See pp. 64–66.)
  4. [Pap] Paper Pool Game, NCTM (National Council of Teachers of Mathematics) Illuminations, https://illuminations.nctm.org/Unit.aspx?id=6527.
  5. [Per18] Antonella Perucca, Arithmetic billiards, Plus Magazine, 24 April 2018, University of Cambridge, https://plus.maths.org/content/arithmetic-billiards-0.
  6. [Ste99] Hugo Steinhaus, Mathematical Snapshots, Dover Recreational Math. Series, Courier Corporation, 1999. ISBN:0486409147. (See p. 63.)
  7. [Tan12] James Tanton, Mathematics Galore!: The First Five Years of the St. Mark’s Institute of Mathematics (Classroom Resource Materials), The Mathematical Association of America, 2012. ISBN: 0883857766. (See pp. 145–156.)
  8. [Tho08] Blake Thornton, Greatest common divisor, The Washington University Math Teachers’ Circle, 2008, http://www.dehn.wustl.edu/~blake/courses/WU-Ed6021-2011-Summer/handouts/Greatest%20Common%20Divisor-sols.pdf. (See pp. 5–8.)
  9. [Wik] Wikipedia contributors, Arithmetic billiards, Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/w/index.php?title=Arithmetic_billiards&oldid=889358328 (accessed June 30, 2021).
  10. [Zuc07] Joshua Zucker, The Bouncing Ball Problem, San Jose Math Circle, 2007, http://sanjosemathcircle.org/handouts/2007-2008/20071003.pdf. (See p. 1.)
Language: English
Page range: 43 - 54
Published on: Jun 14, 2022
Published by: Ludus Association
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2022 Antonella Perucca, Joe Reguengo De Sousa, Sebastiano Tronto, published by Ludus Association
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.