1. On splitting stationary subsets of large cardinals, with J. E. Baumgartner and A. Taylor, J. Symbolic Logic, 42 (1977) 203-14.

  2. Infinite triangulated graphs, Discrete Math., 22 (1978) 183-89.

  3. Ideals on uncountable cardinals, with J. E. Baumgartner and A. D. Taylor, Logic Colloquium 77, J. Paris, ed., North-Holland, 1978, 67-77.  

  4.  A bound on the chromatic number of graphs without certain induced subgraphs, J. of Combinatorial Theory, Series B, 29 (1980) 345-46.  
  
  5. The saturation of a product of ideals, Canadian Journal of Mathematics 32 (1980) 70-75

  6.  The structure of precipitous ideals, Fundamenta Mathematicae, (1980) 47-52.

  7.  Evaluating definite integrals on a computer, theory and practice, Modules and monographs in undergraduate mathematics and its applications project, Unit 432, 1980, 35 pp.

  8. Invariance properties of finitely additive measures in R^n, Illinois J. of Math., 25 (1981) 74-86.

  9. Circle-squaring in the twentieth century, The Mathematical Intelligencer, 3 No. 4 (1981) 176-181, Czechoslovakian translation in Pokroky Matematiky, Fyziky A Astronomie, 28 (1983) 320-328.

10. The use of shears to construct paradoxes in R^n, Proceedings of the Amer. Math. Soc., 85 (1982) 353-359.

11. Partitioning intervals, spheres and balls into congruent pieces, Canadian Mathematical Bulletin, 26 (1983) 337-40.

12. Large free groups of isometries and their geometrical uses, with J. Mycielski, l'Enseignement Mathématique 30 (1984) 247-267.

13. A forbidden subgraph characterization of infinite graphs having finite genus, with J. P. Hutchinson, in Graphs and Applications, Proc. of the First Colorado Symposium on Graph Theory, F. Harary, J. S. Maybee, eds., New York: Wiley, 1985, 183-194.

14-21. The Evidence, columns in The Mathematical Intelligencer
    Vol. 7, No. 1 (1985) 72-76     The Collatz problem
    Vol. 7, No. 2 (1985) 66-68     Odd perfect numbers
    Vol. 7, No. 3 (1985) 65-67    Is π normal?
    Vol. 7, No. 4 (1985) 65-68    Bin packing  
    Vol. 8, No. 1 (1986) 59-61    Fermat's Last Theorem
    Vol. 8, No. 2 (1986) 61-63     Carmichael's "empirical theorem"
    Vol. 8, No. 3 (1986) 58-61     Primality testing
    Vol. 8, No. 4 (1986) 72-76     Where are the zeros of zeta of s?

22. Fourteen proofs of a result about tiling a rectangle, American Mathematical Monthly, 94 (1987) 601-17.  MR89h:52018 (also reviewed in Science News, 132 (Sept. 19, 1987) p. 187). Reprinted in Proceedings of the Strens Conference, MAA, 1994. Winner of L. R. Ford Award.

23. At long last, the circle has been squared, with R. J. Gardner, Notices of the American Mathematical Society, 36 (1989) 1338-1343.

24. Editor's corner: The Euclidean algorithm strikes again, American Mathematical Monthly, 97 (1990) 125-129.

25. Why December 21 is the longest day of the year, Mathematics Magazine, 63 (1990), 307-311.

26. How to pick out the integers in the rationals: An application of number theory to logic, with Dan Flath, American Mathematical Monthly, 98 (1991) 812-823.

27. A deceptive definite integral, Mathematica in Education 1:3 (1992) 3-5.

28. Roads and wheels, with Leon Hall, Mathematics Magazine 65 (1992) 283-301.

29. A hyperbolic interpretation of the Banach-Tarski Paradox, The Mathematica Journal 3:4 (1993) 58-61.

30. When are subset sums equidistributed modulo m?, with Herbert S. Wilf, Electronic J. of Combinatorics 1 (1994).

31. Carmichael's conjecture is valid below 10^10,000,000, with Aaron Schlafly, Mathematics of Computation 63 (1994) 415-419.

32. Rearrangement patterns for the alternating harmonic series, with Ed Packel, Mathematica in Education 3:2 (Spring, 1994) 5-10.

33. A Mathematica'l magic trick, College Mathematics Journal 25 (1994) 325-326.

34. Proof Without Words: Fair allocation of a pizza, with Larry Carter, Mathematics Magazine 67 (1994) 267.

35. Clam demography, Mathematica in Education 3:3 (1994) 58-59.

36. Getting inside plots, Mathematica in Education, 3:4 (1994) 43-46.

37. Calculus in the operating room, with Pearl Toy, M.D., American Mathematical Monthly, 102 (1995) 101.

38. A spigot algorithm for the digits of pi, with Stanley Rabinowitz, American Mathematical Monthly, 102 (1995) 195-203.

39. Bézier curves, Mathematica in Education and Research, 4:1 (1995) (48-53).

40. Taylor polynomials, Mathematica in Education and Research, 4:2 (1995) 54-57.

41. Monotonic interpolation, Mathematica in Education and Research, 4:3 (1995) 49-52.

42. Quintuples with square triplets, Mathematics of Computation  64 (1995) 1755-1756.

43. Nullclines and equilibria, fish and balloons, with Dan Schwalbe, Mathematica in Education and Research, 4:4 (1995) 50-55; summary published separately in the electronic Proccedings of a Workshop on Organic Mathematics, Simon Fraser University, Dec. 1995. Printed proceedings: Organic Mathematics, Can. Math. Society Conference Proceedings, Volume 20, Amer. Math. Soc., Providence, 1997.

44. Orbits worth betting on!, with Rob Knapp, CODEE Newsletter (Consortium for Ordinary Differential Equations Experiments) Winter 1996, 8-13.

45. π: A 2000-year-old search changes direction, with Victor Adamchik, Mathematica in Education and Research, 5:1 (1996) 11-19.

46. The magic of imaginary factoring, Mathematica in Education and Research, 5:1 (1996) 43-47.

47. Secrets of the Madelung constant, with Joe Buhler, Mathematica in Education and Research, 5:2 (1996) 49-55.

48. Polynomials for radicals, Mathematica in Education and Research, 5:3 (1996) 26-29.

49. Adaptive surface plotting: a beginning, with Ron Goetz, Mathematica in Education and Research, 5:3 (1996) 74-83.

50. Automating Escher's combinatorial patterns, with Rick Mabry and Doris Schattschneider, Mathematica in Education and Research, 5:4 (1997), 38-52.

51. The four-color theorem, with Joan Hutchinson, Mathematica in Education and Research, 6:1 (1997) 42-51.

52. Front end grab bag, with Lou D'Andria,Mathematica in Education and Research, 6:2 (1997) 54-56.

53. A challenge from Leningrad, Mathematica in Education and Research, 6:3 (1997) 53-55.

54. A simple formula for pi, with Victor Adamchik, American Mathematical Monthly, 104 (1997) 852-855.

55. What is a prime number?, Mathematica in Education and Research, 6:4 (1997) 54-61.

56. Kempe revisited, with Joan Hutchinson, American Mathematical Monthly, 105 (1998) 170-174.

57. An April Fool's hoax, Mathematica in Education and Research, 7:1 (1998) 46-52.

58. A stroll through the Gaussian primes, with Ellen Gethner and Brian Wick, American Mathematical Monthly 105 (1998) 327-337.

59. Bending Plot to your needs, Mathematica in Education and Research, 7:2 (1998) 50-53.

60. The traveling salesman and the turtle, Mathematica in Education and Research, 7:3 (1998) 51-56.

61. Check your answers -- but how?, with Rob Knapp, Mathematica in Education and Research, 7:4 (1998) 76-85.

62. The ultimate flat tire, Math Horizons, (Feb. 1999) 14-17 (winner of the Trevor Evans award).

63. Statistics in the classroom and the courtroom, with Karl Heiner, Mathematica in Education and Research, 8:1 (1999) 49-57.

64. The Costa surface, in snow and in Mathematica, with Dan Schwalbe, Mathematica in Education and Research, 8:2 (1999) 56-63.

65. Liberal arts colleges: What to expect and what is expected, in Starting Our Careers, A Collection of Essays and Advice on Professional Development from the Young Mathematicians' Network, C Bennett and A Crannell, eds., Amer. Math. Soc., Providence, R.I., 1999. pp 34-36.

66. Invisible Handshake, with Claire and Helaman Ferguson, Dan Schwalbe, and Tamas Nemeth, The Mathematical Intelligencer, 21:4 (Fall 1999) 30-35.

67. Monotonic interpolation, revisited, Mathematica in Education and Research, 8:3-4 (1999) 103-107.

68. Certified primes, Mathematica in Education and Research, 8:3-4 (1999) 108-111.

69. Rhombic Penrose tilings can be 3-colored, with Tom Sibley, American Mathematical Monthly, 106 (2000) 251-253.

70. Rhapsody in White: A victory for mathematics, with John Bruning, Andy Cantrell, Robert Longhurst, and Dan Schwalbe, The Mathematical Intelligencer, 22:4 (2000) 37-40.

71. Adaptive surface plotting: continued, with Ron Goetz, Mathematica in Education and Research, 9:1 (2001).

72. Random polygons, Mathematica in Education and Research, 9:2 (2001) 59-64.

73. The Gaussian zoo, with John Renze and Brian Wick, Experimental Mathematics, 10:2 (2001) 161-173. http://www.expmath.org/expmath/volumes/10/10.html

74. Parrondo’s paradox, with D. Velleman, Mathematica in Education and Research, 9:3-4 (2001) 85-90.

75. A buttressed octahedron, with Lew Robertson and Michael Schweitzer, Geombinatorics, April 2002, 119-122.

76. A machine resolution of a four-color hoax, Abstracts for the 14th Canadian Conference on Computational Geometry, Aug. 2002, Lethbridge, Alberta, 181-192.

77. The hopping hoop, with Tim Pritchett, in UMAP/ILAP Modules 2001-02: Tools for Teaching, ed. Paul Campbell, Lexington, Mass., COMAP, 2002, 179–213.

78. Whirled White Web: Art and math in snow, with Brent Collins, Steve Reinmuth, Dan Schwalbe, and Carlo Séquin, Meeting Alhambra: ISAMA–BRIDGES 2003 Conf. Proceedings, Univ. of Granada, Spain, July 2003, 383–392. ISAMA = The International Society of the Mathematical Connections in Arts, Mathematics and Architecture). http://www.cs.berkeley.edu/~sequin/PAPERS/Isama03_WWW.pdf.

79. Rocket math, with Clifford Stoll and Daniel Flath, College Mathematics Journal 35:4 (2004) 262-273.

80. Turning a snowball inside out: Mathematical visualization at the 12-foot scale, with Alex Kozlowski, Dan Schwalbe, Carlo Séquin,  and John Sullivan, ISAMA–BRIDGES 2004 Conf. Proceedings, Winfield, Kans., July 2004, 27–36. http://www.cs.berkeley.edu/~sequin/PAPERS/Bridges04_Snowball.pdf

81. The dynamics of falling dominoes, with William Briggs, Stephen Becker, and Adrianne Pontarelli (Mac ’04), UMAP Journal, 26.1 (Spring 2005) 35-47 (cover article)

82. Faster algorithms for Frobenius numbers, with Dale Beihoffer, Jemimah Hendry (Mac ’03), and Albert Nijenhuis, Electronic Journal of Combinatorics, 12:1 (2005) R27 (www.combinatorics.org) or stanwagon.com/wagon/papers/FrobeniusByGraphs.pdf

83. How quickly does hot water cool?, with Robert Portmann, Mathematica in Education and Research 10:3 (July 2005) 1-9.

84. It's only natural, Math Horizons, 13:1 (Sept. 2005) 26–28

85. A heuristic for the Prime Number Theorem, with Hugh Montgomery, The Mathematical Intelligencer 28:3 (2006). Download pdf

86. The search for simple symmetric Venn diagrams, with Frank Ruskey and Carla Savage,
Notices of the American Mathematical Society, 53:11 Dec. 2006, 1304-1312, and front cover. Available at <<http://www.ams.org/notices/200611/fea-wagon.pdf>>

87. Finding a hidden coin, with Daniel Flath,
UMAP Journal (to appear). Download pdf

88. Frobenius numbers by lattice point enumeration, with David Einstein, Daniel Lichtblau, and Adam Strzebonski (
INTEGERS, to appears). Download pdf

89. Cool Jazz: Geometry, music, and snow, with David Chamberlain, Dan Schwalbe, Rich and Beth Seeley,
Hyperseeing, February 2007. Cover article. << www.isama.org/hyperseeing>>

90. The locker problem, with Bruce Torrence (
Crux Mathematicorum, to appear). Download pdf

91. Version 6, valuable new features,
Mathematica in Education and Research, 12:3 (2007) 234-247.

92. Mathematics and Mathematica,
The Mathematical Intelligencer, 29:4 (2007) 51-61.

93. Dale Beihoffer and Stan Wagon, Postage-stamp puzzles,
Infinity, 5 (2007), 8-10.

94. Breckenridge snow sculpture 2008: David Chamberlain,
Cold Hands, Warm Heart, Hyperseeing, Jan-Feb 2008, 7-14. <<http://www.isama.org/hyperseeing/08/08-a.pdf>>.

95. Stan Wagon and Peter Webb, Venn symmetry and prime numbers: A seductive proof revisited, American Mathematical Monthly, August 2008, pp 645-648.  Download pdf

96. Joe Buhler and Stan Wagon, Basic algorithms in number theory, in: Algorithmic Number Theory, Lattices, NumberFields, Curves and Cryptography, MSRI Publications, vol. 44, J. Buhler, P. Stevenhagen, eds., Cambridge Univ. Press, 25–68.

97. Invisible Handshake: From Snow to Stone,
Hyperseeing, Sept.-Oct. 2008, 4 pp. <<http://www.isama.org/hyperseeing/08/08-e.pdf>>.

98. Robert Israel, Stephen Morris, and Stan Wagon, OLD IDAHO USUAL HERE,
Crux Mathematicorum, 34:8 (2008) 341–347.

99. Mark McClure and Stan Wagon, Four-coloring the US counties, Math Horizons, April 2009, 20–21, 29.

100. Barry Cox and Stan Wagon, Mechanical circle-squaring, College Mathematics Journal, 40, Sept. 2009, 238–247

101. The geometry of the Snail Ball, Mathematics Magazine, 83 (Oct 2010) 276–279.

102. Eva Hild, Dan Schwalbe, Rich and Beth Seeley, and Stan Wagon, Eva Hild’s Perpetual Motion in Snow, Hyperseeing, Spring 2011, 4–11. <<http://www.isama.org/hyperseeing/11/11a.pdf>>

103. Victor Addona, Herb Wilf, and Stan Wagon, How to lose as little as possible, Ars Mathematica Contemporanea, 4:1 (2011) 29–62.
<<http://amc.imfm.si/index.php/amc/article/view/178>> Also <<http://arxiv.org/abs/1002.1763>>

104. Stan Wagon, Geometrical snow sculpture in snow, Journal of Mathematics and the Arts, 5:3 (Sept. 2011) 141–145 <<http://dx.doi.org/10.1080/17513472.2011.570193>>

105. Antonín Slavík and Stan Wagon, Railway mazes: From picture to solution, Journal of Recreational Mathematics, 36:3 (2011) 208–221.

106. Stan Wagon, An algebraic approach to geometrical optimization, Math Horizons, Feb. 2012, 22–27.

107. Barry Cox and Stan Wagon, Drilling for polygons, American Mathematical Monthly 119 (2012)  300–312.

108. Bart de Smit, Willem Jan Palenstijn, Mark McClure, Isaac Sparling, and Stan Wagon, Through the looking-glass, and what the quadratic camera found there, submitted, February 2012.

109. Stephen Morris, Richard Stong, and Stan Wagon, And the winners are..., Math Horizons, April 2013, 20–22.

110. Robert Israel, Peter Saltzman, and Stan Wagon, Adding milk to coffee without differential equations, Mathematics Magazine, 86 (2013) 204–210.

111. Jon Grantham, Witold Jarnicki, John Rickert, and Stan Wagon, Repeatedly appending any digit to generate composite numbers, American Mathematical Monthly, to appear.

112. M. Dupuis (UST 2013) and Stan Wagon, Laceable knights,
Ars Mathematica Contemporanea, to appear.

Spikey Created with Wolfram Mathematica 9.0