Mathematical Papers

Boldface items are highlighted because they either solve an open problem, make a significant or surprising new contribution, or are an important expository article.

Award-winning papers. #22: Lester R. Ford award for American Mathematical Monthly; #62: Trevor Evans award for Math Horizons; #123: Trevor Evans award for Math Horizons; #113: Allendoerfer award for Mathematics Magazine; #58: Chauvenet Award by MAA for general paper.

134. Stan Wagon, A spiral That accommodates both wheels of a bicycle, To appear in the Mathematical Intelligencer. https://arxiv.org/abs/2503.11847. [Shows how an iterative process leads to a curve that is a spiral unlike track: a curve that is its own traction.]

133.  James Tilley, Stan Wagon, and Eric Weisstein,  A catalog of facially complete graphs, Utilitas Mathematica, 124, Sept. 26, 2025, 157–169. https://combinatorialpress.com/article/um/volume%20124/a-catalog-of-facially-complete-graphs.pd and https://arxiv.org/abs/2409.11249. [We discuss map coloring where two countries are considered adjacent even if they meet in only a single point.]

132.  Alfred Jacquemot, Thomas Randall-Page, Antonín Slavík, and Stan Wagon, A rolling square bridge: Reimagining the wheel, Mathematical Intelligencer, 46:2, summer 2024, 171–182 https://rdcu.be/dEet.

131. H. Allen Curran and Stan Wagon, Sandstone geometry on the Colorado Plateau, Mathematical Intelligencer, 43:4, Winter 2021. https://rdcu.be/cztl1.

130.  A method for Methodoku, The Ringing World, Issue 5739, April 23, 2021.

129.  Joe Buhler, Shahar Golan, Rob Pratt, and Stan Wagon, Symmetric Littlewood polynomials, spectral-null codes, and equipowerful partitions, Mathematics of Computation, 329 (May 2021) 1435–1453. https://arxiv.org/abs/1912.03491 https://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2021-03612-1/home.html.

128.  The bicycle paradox, Mathematical Intelligencer, 42:3 (2020) 23–25.

127.  Jean-Joseph Coté, Michael Elgersma, James S. (Sandy) Kline, and Stan Wagon, Monkey business, Math Horizons, 28:1 (Sept. 2020) 16–17.

126.  Counting connected sets of squares, College Math Journal, 51:3 (2020) 173.

125.  Rob Pratt, Stan Wagon, Michael Wiener, and Piotr Zielinski, Too many hats, Mathematical Intelligencer, 41(3) (2019) 66–71. https://arxiv.org/abs/1810.08263.

124.  Alan D. Taylor and Stan Wagon, A paradox arising from the elimination of a paradox, Amer. Math. Monthly, 126, April 2019, 306–318. http://wgw.117.mytemp.website/wp-content/uploads/2025/09/TheDivisionParadoxTaylorWagon.pdf.

123. Stan Wagon, Resolving the fuel economy singularity, Math Horizons, 26:1, Sept. 2018, 5–9. Winner of Trevor Evans award for 2018. https://digitaleditions.sheridan.com/article/Resolving+The+Fuel+Economy+Singularity/3183598/524260/article.html.

122. Larry Carter and Stan Wagon, The MENSA Correctional Institute, American Mathematical Monthly, 125:4 (April 2018) 306–319.

121. Michael Elgersma and Stan Wagon, An asymptotically closed loop of tetrahedra, Mathematical Intelligencer, 39:3 (2017) 40-45. [There exists a chain of disjoint tetrahedra where the final one is arbitrarily close to the first.]

120. Witold Jarnicki, Wendy Myrvold, Peter Saltzmann, and Stan Wagon, Properties, proved and conjectured, of Keller, Mycielski, and Queen Graphs, Ars Mathematica Contemporanea 13:2 (2017) 427–460. http://amc-journal.eu/index.php/amc/article/view/1143.

119. Stan Wagon, Round formulas for exponential polynomials and the incomplete gamma function, INTEGERS, 16 (2016) #A79, 9 pp. http://www.integers-ejcnt.org/vol16.html

118. Michael Elgersma and Stan Wagon, A stable cup of coffee, UMAP Journal, 37:1 (Spring 2016) 19–41.

117. Stan Wagon, The mechanical problem of squaring the circle, Mathematical Intelligencer, 38:1 (2016) 22–24.

116. Michael Dupuis and Stan Wagon, Laceable knights, Ars Mathematica Contemporanea, 9 (2015), 115–124. https://amc-journal.eu/index.php/amc/article/view/420.

115. Michael Elgersma and Stan Wagon, Closing a Platonic gap, Mathematical Intelligencer, 37:1 (2015), 54–61.

114. Stan Wagon, Graph theory problems from hexagonal and traditional chess, College Mathematics Journal 45:4 (Sept. 2014) 278–287.

113. Andrew Beveridge and Stan Wagon, The Sorting Hat goes to college, Mathematics Magazine 87:4 (Oct 2014) 243-251. Winner of the Allendoerfer Award. https://github.com/mathbeveridge/mathbeveridge.github.io/blob/master/files/SortingHatCollege.pdf.

112. Grzegorz Tomkowicz and Stan Wagon, Visualizing paradoxical sets, Mathematical Intelligencer 36:3 (2014) 36–43.

111. Stan Wagon, Test your intuition, Math Horizons, Sept. 2014, 8–9, 26–28.

110. Jon Grantham, Witold Jarnicki, John Rickert, and Stan Wagon, Repeatedly appending any digit to generate composite numbers, American Mathematical Monthly 121 (May 2014) 416–421. https://arxiv.org/abs/1903.05023

109. Robert Israel, Peter Saltzman, and Stan Wagon, Cooling coffee without solving differential equations, Mathematics Magazine, 86 (2013) 204–210.

108. Stephen Morris, Richard Stong, and Stan Wagon, And the winners are…, Math Horizons, 20:4 April 2013, 20–22.

107. Bart de Smit, Willem Jan Palenstijn, Mark McClure, Isaac Sparling, and Stan Wagon, Through the looking-glass, and what the quadratic camera found there, Mathematical Intelligencer, 34:3 (2012) 30-34.

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

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

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

103. Stan Wagon, Geometrical snow sculpture in snow, Journal of Mathematics and the Arts, 5:3 (Sept. 2011) 141–145.

102. Victor Addona, Herb Wilf, and Stan Wagon, How to lose as little as possible, Ars Mathematica Contemporanea, 4:1 (Spring/Summer, 2011) 29–62 http://amc.imfm.si/index.php/amc/article/view/178.

101. Eva Hild, Dan Schwalbe, Rich and Beth Seeley, and Stan Wagon, Eva Hild’s Perpetual Motion in snow, Hyperseeing, Spring 2011, 4–11.

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

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

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

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

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

95. Joe Buhler and Stan Wagon, Basic algorithms in number theory, in: Algorithmic Number Theory, Lattices, Number Fields, Curves and Cryptography, MSRI Publications, vol. 44, J. Buhler, P. Stevenhagen, eds., Cambridge Univ. Press, 2008, 25–68.

94. Stan Wagon and Peter Webb, Venn symmetry and prime numbers: A seductive proof revisited, American Mathematical Monthly, 115 (August 2008), 645–648. [We correct an error in an old proof that a rotationally symmetric Venn diagram on n sets implies that n is prime.]

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

92. Stan Wagon, Mathematics and Mathematica, Mathematical Intelligencer, 29:4 (2007) 51–61.

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

90. Bruce Torrence and Stan Wagon, The locker problem, Crux Mathematicorum 33:4 (May 2007) 232–236.

89. David Chamberlain, Dan Schwalbe, Rich and Beth Seeley, and Stan Wagon, Cool Jazz: Geometry, music, and snow, Hyperseeing, February 2007. http://wgw.117.mytemp.website/wp-content/uploads/2025/10/HyperseeingCoolJazz.pdf .

88. David Einstein, Daniel Lichtblau, Adam Strzebonski, and Stan Wagon, Frobenius numbers by lattice point enumeration, INTEGERS, 7 (2007) #A15, 63 pp. http://www.integers-ejcnt.org/vol7.html.

87. Daniel Flath and Stan Wagon, Finding a hidden coin, UMAP Journal 27:4 (2006) 469–490.

86. Frank Ruskey, Carla Savage, and Stan Wagon, The search for simple symmetric Venn diagrams, Notices of the American Mathematical Society, 53:11 Dec. 2006, 1304–1312 http://www.ams.org/notices/200611/fea-wagon.pdf.

85. Hugh Montgomery and Stan Wagon, A heuristic for the Prime Number Theorem, Mathematical Intelligencer 28:3 (2006) 6–9.

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

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

82. Dale Beihoffer, Jemimah Hendry, Albert Nijenhuis, and Stan Wagon, Faster algorithms for Frobenius numbers, Electronic Journal of Combinatorics, 12:1 (2005) R27.

81. William Briggs, Stephen Becker, Adrianne Pontarelli, and Stan Wagon, The dynamics of falling dominoes, UMAP Journal, 26:1 (Spring 2005) 35–47.

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

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

78. Brent Collins, Steve Reinmuth, Dan Schwalbe, Carlo Séquin, and Stan Wagon, Whirled White Web: Art and math in snow, Meeting Alhambra: ISAMA–BRIDGES 2003 Conf. Proceedings, Univ. of Granada, Spain, July 2003, 383–392. http://www.cs.berkeley.edu/~sequin/PAPERS/Isama03_WWW.pdf

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

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

75. Lew Robertson, Michael Schweitzer, and Stan Wagon, A buttressed octahedron, Geombinatorics, April 2002, 119–122.

74. Dan Velleman and Stan Wagon, Parrondo’s paradox, Mathematica in Education and Research, 9:3-4 (2001) 85–90.

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

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

71. Ron Goetz and Stan Wagon, Adaptive surface plotting: continued, Mathematica in Education and Research, 9:1 (2000) 55–63.

70. John Bruning, Andy Cantrell, Robert Longhurst, Dan Schwalbe, and Stan Wagon, Rhapsody in White: A victory for mathematics, Mathematical Intelligencer, 22:3 (2000) 37–40.

69. Tom Sibley and Stan Wagon, Rhombic Penrose tilings can be 3-colored, American Mathematical Monthly, 106 (2000) 251–253. [We prove a 3-coloring result that was conjectured by John Horton Conway.]

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

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

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

65. Stan Wagon, 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., American Math. Soc., Providence, R.I., 1999, 34–36.

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

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

62. Stan Wagon, The ultimate flat tire, Math Horizons, 6:3 (Feb. 1999) 14–17; winner of the Trevor Evans award. http://wgw.117.mytemp.website/wp-content/uploads/2025/09/UltimateFlatTireSWVersion.pdf [The paper presents a short proof that a square can roll smoothly on a road made up of inverted catenaries.]

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

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

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

58. Ellen Gethner, Brian Wick, and Stan Wagon, A stroll through the Gaussian primes, American Mathematical Monthly 105 (1998) 327–337. Winner of MAA’s Chauvenet prize.

57. Stan Wagon, An April Fool’s hoax, Mathematica in Education and Research, 7:1 (1998) 46–52.

56. Joan Hutchinson and Stan Wagon, Kempe revisited, American Mathematical Monthly, 105 (1998) 170–174.

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

54. Victor Adamchik and Stan Wagon, A simple formula for π, American Mathematical Monthly, 104 (1997) 852–855.

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

52. Lou D’Andria and Stan Wagon, Front end grab bag, Mathematica in Education and Research, 6:2 (1997) 54–56.

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

50. Rick Mabry, Doris Schattschneider, and Stan Wagon, Automating Escher’s combinatorial patterns, 

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

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

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

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

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

44. Rob Knapp and Stan Wagon, Orbits worth betting on! C•ODE•E Newsletter (Consortium for Ordinary Differential Equations Experiments) Winter 1996, 8–13.

43. Dan Schwalbe and Stan Wagon, Nullclines and equilibria, fish and balloons, Mathematica in Education and Research, 4:4 (1995) 50–55.

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

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

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

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

38. Stanley Rabinowitz and Stan Wagon, A spigot algorithm for the digits of π, American Mathematical Monthly, 103 (1995) 195–203. [We present an algorithm for the digits of π that gets them one by one, with no need to retain them after they are computed.]

37. Pearl Toy and Stan Wagon, Calculus in the operating room, American Mathematical Monthly, 102 (1995) 101.

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

35. Stan Wagon, Clam demography, Mathematica in Education 3:3 (1994) 58–59.

34. Larry Carter and Stan Wagon, Proof Without Words: Fair allocation of a pizza, Mathematics Magazine 67 (1994) 267. [We present a dissection proof that four equiangular lines through a point in a circle divide the circle, using alternating pieces, into two regions of equal area.]

33. Stan Wagon, A Mathematica’l magic trick, College Mathematics Journal 25 (1994) 325–326.

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

31. Aaron Schlafly and Stan Wagon, Carmichael’s conjecture is valid below 10^10,000,000, Mathematics of Computation 63 (1994) 415–419.

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

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

28. Leon Hall and Stan Wagon, Roads and wheels, Mathematics Magazine 65 (1992) 283–301. [We discuss in detail the connections between a nonround wheel and the road that is appropriate for the wheel to roll smoothly.]

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

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

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

24. Stan Wagon, Editor’s corner: The Euclidean algorithm strikes again, American Mathematical Monthly 97 (1990) 125–129.

23. Richard J. Gardner and Stan Wagon, At long last, the circle has been squared, Notices of the American Mathematical Society, 36 (1989) 1338–1343.

22. Stan Wagon, Fourteen proofs of a result about tiling a rectangle, American Mathematical Monthly, 94 (1987) 601–17. Winner of the Lester R. Ford Award. [The paper goes into great detail comparing 14 proofs of a classical problem about tiling.]

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?

13. Joan P. Hutchinson and Stan Wagon, A forbidden subgraph characterization of infinite graphs having finite genus, 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.

12. Jan Mycielski and Stan Wagon, Large free groups of isometries and their geometrical uses, l’Enseignement Mathématique 30 (1984) 247–267. [We present, among other things, a method that that combines ancient ideas of Hausdorff and Klein to show one can visualize the Banach-Tarski Paradox in the hyperbolic plane.]

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

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

9. Stan Wagon, Circle-squaring in the twentieth century, Mathematical Intelligencer, 3:4 (1981) 176–181.

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

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

6. Stan Wagon, The structure of precipitous ideals, Fundamenta Mathematicae, (1980) 47–52.

5. Stan Wagon, The saturation of a product of ideals, Canadian Journal of Mathematics, 32 (1980) 70–75.

4. Stan Wagon, A bound on the chromatic number of graphs without certain induced subgraphs, J. of Combinatorial Theory, Series B, 29 (1980) 345–46. [The paper contains a small research result, but 40 years later very many papers (over 50) have cited it as new variants are proved.]

3. James E. Baumgartner, Alan D. Taylor, and Stan Wagon, Ideals on uncountable cardinals, Logic Colloquium 77, J. Paris, ed., North-Holland, 1978, 67–77.

2. Stan Wagon, Infinite triangulated graphs, Discrete Math., 22 (1978) 183–89.

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

Books

11. Dan Velleman and Stan Wagon, Bicycle or Unicycle? A Collection of Intriguing Mathematical Puzzles, MAA Press—Amer. Math. Soc., Providence RI, 2020. Volume 30 in MAA Problem Series. https://bookstore.ams.org/prb-36.

10. Grzegorz Tomkowicz and Stan Wagon, The Banach–Tarski Paradox, Vol. 24 in the series: Encyclopedia of Mathematics and its Applications, Cambridge Univ. Pr., New York, 2016. Second edition: 350 pp, 2016. (First edition by Wagon only: 1985.) Ebook at: http://www.ebooks.com/2603156/the-banach-tarski-paradox/tomkowicz-grzegorz-wagon-stan.

9. Stan Wagon, Mathematica in Action: Problem-Solving Through Visualization and Computation, Third edition, 578 pp, Springer-Verlag, New York, 2010. E-edition: https://link.springer.com/book/10.1007/978-0-387-75477-2.

8. Dan Schwalbe, Antonin Slavik, and Stan Wagon, VisualDSolve: Visualizing Differential Equations with Mathematica, Wolfram Research, 2009. http://www.wolfram.com/books/profile.cgi?id=9553.

7. Dirk Laurie, Folkmar Bornemann, Stan Wagon, and Jörg Waldvogel The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing, SIAM, Philadelphia, 2004, 306 pp.

6. David Bressoud and Stan Wagon, A Course in Computational Number Theory, Wiley, New York, 2000. 367 pp.

5. Ed Packel and Stan Wagon, Animating Calculus: Mathematica Notebooks for the Laboratory, Springer/TELOS, New York, 1996.

4. Joseph Konhauser, Dan Velleman, and Stan Wagon, Which Way Did the Bicycle Go? …and Other Intriguing Mathematical Mysteries, Dolciani Mathematical Expositions, vol. 18, Mathematical Association of America, Washington, 1996, 235 pp. https://bookstore.ams.org/view?ProductCode=DOL/18.

3. Stan Wagon, The Power of Visualization: Notes from A Mathematica Course, Front Range Press, Breckenridge, CO, 1994.

2. Victor Klee and Stan Wagon, Old and New Unsolved Problems in Plane Geometry and Number Theory, Dolciani Mathematical Expositions No. 11, Mathematical Association of America, Washington, 1991, 333 pp.

1. James E. Baumgartner, Alan D. Taylor, and Stan Wagon, Structural Properties of Ideals, Dissertationes Mathematicae 197 (1982) 95 pp.

Blog Posts + Misc.

Blog Posts

Stan Wagon​, A spiral bicycle track that can be made by a unicycle, Wolfram Community, May 12, 2025. https://community.wolfram.com/groups/-/m/t/3461376.

Stan Wagon​, Three bicycle problems: from Sherlock Holmes to unicycle illusion to pedal paradox​, Wolfram Community, July 28, 2023. https://community.wolfram.com/groups/-/m/t/2978620.

Stan Wagon​, A rolling square bridge: Reimagining the wheel​, Wolfram Community, May, 2023, https://community.wolfram.com/groups/-/m/t/2917199.

Stan Wagon​, An asymptotically closed loop of tetrahedra, Wolfram Community, 2022. https://community.wolfram.com/groups/-/m/t/2456465.

Stan Wagon, A new method of bell-ringing, Using Mathematica to discover Wolf Wrap, Wolfram Community, November 2021. https://blog.wolfram.com/2021/11/19/a-new-method-of-bell-ringing-using-mathematica-to-discover-wolf-wrap/

Stan Wagon, It is best to accept the Banach–Tarski Paradox, Fifteen Eighty-Four, Academic Perspectives from Cambridge University Press, April 5, 2017. https://cambridgeblog.org/2017/04/it-is-best-to-accept-the-banach-tarski-paradox.

Stan Wagon​, A tetrahedral chain challenge, Wolfram Community, 2013. https://community.wolfram.com/groups/-/m/t/143090.

Miscellaneous Publications

Bill Belvin, Elaine Belvin, and Stan Wagon, Photographing Utah’s sandstone, Utah Adventure Journal, Spring 2018.

Stan Wagon, The Wrong way to great skiing, ASCENT Backcountry Snow Journal, Nov. 27, 2017, 12–14. http://ascentbackcountry.com/the-wrong-way-to-great-skiing .

Stan Wagon, The lure of Faraway Arch, SPAN, Newsletter of the Natural Arch and Bridge Society, 29:1, Winter 2017, pp. 1, 3, 4.

Stan Wagon, The Wrong way to Battle Abbey, Canadian Alpine Journal 2005, 121–122.

Stan Wagon, The “Haute Route” (Rogers Pass to the Bugaboos), Canadian Alpine Journal, 1991, 60–63.

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