• Rick Mabry and Paul Deiermann, Of Cheese and Crust: A Proof of the Pizza Conjecture and Other Tasty Results, Am. Math. Monthly, to appear.
• Rick Mabry, Problem 1772, Math. Mag., 80, no.3 (June 2007), p.230.
  • The solution appered here: Taylor minima, Math. Mag., 81, no.3 (June 2008), 222.
  • The original proposal and solution are here, along with pretty pictures.
• Rick Mabry and Debbie Shepherd, Problem 11327, Am. Math. Monthly, 114, no.10 (Dec 2007), p.925.
  • [Note: "Game of chance"? "Connect the dots"? I barely recognize the problem. Our original proposal is HERE.]
• Richard D. Mabry, "No nontrivial Hamel basis is closed under multiplication", Aequationes Mathematicae, 71 (2006), no. 3, 294-299.
• Rick Mabry, Problem 11001, Am. Math. Monthly, 110, no.6 (June-July 2003), p.543.
  • [Note: The editors originally changed this problem completely due to "typesetting" errors, and the botched version appeared in the March issue (no. 3), p. 240, as seen HERE. That rendered the problem trivial (even silly) but the corrected version in the June-July issue is okay. The solution appears as "Powered Terms in a Series: 11001," Am. Math. Monthly, 111, no.10 (Dec 2004), p.920. JSTOR.]
• Rick Mabry, Problem 10990, Am. Math. Monthly, 110, no.1 (2003), p.59 JSTOR.
  • Note: The problem deals with envelopes of Bernstein polynomials. Funny story: The editors changed this problem from its original form (a change to which I acquiesced after a short, feeble struggle). The original problem is here and is much more subtle, in my humble opinion.
  • The solution appeared here: "The Envelope, Please: 10990," Am. Math. Monthly, 111, no.9 (2004), 825-826 JSTOR. The editors seem to have paid lip-service to my intention, illustrated by their own — unfortunately — incorrect graphic.
  • My own solution is here.
• Paul Deiermann and Richard Mabry, "Asymptotic Symmetry of Polynomials," Mathematics Magazine, 75, no. 2 (April 2002), 131 - 135.
• Rick Mabry, "Mathematics Without Words," College Journal of Mathematics, 32, no. 1 (2001), p.18. (This is reprinted on p.65 of ``Mathematical Delights'' by Ross Hernsberger, MAA, 2005. See HERE for more of the same.)
• Michael Avidon, Rick Mabry and Paul Sisson, "Enumerating Row Arrangements of Three Species," Mathematics Magazine, 74, no. 2 (April 2001), 131 - 135.
• Paul Deiermann and Rick Mabry, Problem 676, College Math. J., 31, no.3 (2000), p.219. JSTOR
  • Solution: A Viewing Window for Limaçons, College Math. J., 32, no.3 (May 2001), 213-214. JSTOR
  • Our original proposal and solution are here.
• Paul Deiermann and Rick Mabry, "Intersecting curves" (Problem 10712), Am. Math. Monthly, 106, no.2 (Feb. 1999), p.166 (posed)
  • Am. Math. Monthly, 107, no.5 (May 2000), pp.463-464 (solved)
  • Am. Math. Monthly, 107, no.10 (Dec. 2000), p.958 ("revival!")
  • Here are the cover letter (with reference) and our original proposal and solution.
• Rick Mabry, "Going for the stars" (FFF #151), College Math. J., 30, no. 5 (1999), p.383.
• Rick Mabry, "Shades of the Cauchy functional equation and Segre functions," a 25-minute talk at the 37th International Symposium on Functional Equations , at Marshall University on May 18, 1999, during Functional Equations Week in Huntington, West Virginia.
• Rick Mabry, "The measure theoretic approach to the density of quasi-arithmetic sequences," a 20-minute talk at the 1999 Seaway Number Theory Conference, March 27-28, 1999, at Pennsylvania State University, State College, PA.
• Richard D. Mabry, "Some remarks concerning the uniformly gray sets of G. Jacopini", Rend. Acc. Naz. Sci. XL, Mem. Mat., vol. XXII (1998), fasc. 1, pagg. 43-49 [ISSN: 0392-4106].
• Rick Mabry, "Thirds of a Triangle" (my suggested title, not used), Mathematics Magazine, 72, no. 1 (Feb. 1999), p. 63. This is reprinted in various places and will probably have to end up on (or as) my tombstone.
  • Page 46 of Archimedes: What Did He Do Besides Cry Eureka? by Sherman K. Stein, MAA, 1999.
  • The cover of and page 111 of Proofs Without Words II: More Exercises in Visual Thinking by Roger B. Nelsen, MAA 2000.
  • CRC Standard Mathematical Tables and Formulae, 30th ed., Daniel Zwillinger (Editor-in-chief), CRC Press, 2002
  • Page 199 of "Real Infinite Series" by Daniel D. Bonar, Micheal J. Khoury, Jr., and Michael J. Khoury, MAA, 2006.
  • Pages 73-74 of Math Made Visual by Alaudi Alsina and Roger B. Nelsen, MAA, 2006.

• Rick Mabry, "A Subset of the Plane Having Constant Linear Shades," a talk at the Twenty-second Summer Symposium on Real Analysis, UCSB, Santa Barbara, CA, June 23-27, 1998. [See also the Conference Report in the Real Analysis Exchange, Vol. 24(1), 1998/99, pp. 35-38.]
• Rick Mabry and Paul Deiermann, "Adding Like Sines", Mathematics Magazine, 71, no. 2 (April 1998), p.130. Reprinted on p. 54 of Proofs Without Words II: More Exercises in Visual Thinking by Roger B. Nelsen, MAA 2000.
• Rick Mabry, "Shades of the Cauchy functional equation," a talk at the Special Session on Real Analysis, 931st Meeting of the AMS, Louisville, KY, March 21, 1998.
• Rick Mabry, "Shading the plane," a talk at the 75th Annual Louisiana-Mississippi Section Meeting of the MAA, New Orleans, LA, Feb 26, 1998.
• Rick Mabry, Stan Wagon, and Doris Schattschneider, Automating Escher’s Combinatorial Patterns", Mathematica in Education and Research, 5, no. 4 (1996), 38-52.
• Paul Deiermann and Rick Mabry, "The center of a sliced pizza", Mathematics Magazine, 68, no. 4 (1995), 312-315.
• Rick Mabry, "Bipartite Graphs and the Four Color Theorem," Bulletin of the Institute for Combinatorics and its Applications, 14 (1995), 119-122. [Zentralblatt abstract]
• Paul Deiermann and Rick Mabry, "Throwing Another Fallacy out the Window (Using Minimum Energy)" (FFF #81), College Journal of Mathematics, 25, no. 5 (1994), 434.
• Paul Deiermann and Rick Mabry, "Generalizing an Approach to Radius of Curvature" (FFF #77), College Journal of Mathematics, 25, no. 4 (1994), 309-310.
• Rick Mabry, "D^** functions and a well-known 'translation invariant' lemma," a talk at the Ninth Annual MiniConference in Real Analysis, Auburn University, Auburn, AL, March 20, 1993.
• Rick Mabry, "Families of Shadings of the Real Line," a talk at the Eighth Annual MiniConference in Real Analysis, Auburn University, Auburn, AL, March 21, 1992.
• R.D. Mabry, "Sets which are well-distributed and invariant relative to all isometry invariant total extensions of Lebesgue measure", Real Analysis Exchange, 16, no. 2 (1991-1992), 425-459. [Zentralblatt abstract]
• A.G. Kartsatos and R. Mabry, "Controlling the space with pre-assigned responses," Journal of Optimization Theory and Applications, 54, no. 3 (1987), 517-540. [Zentralblatt abstract]
• A.G. Kartsatos and R. Mabry, On the solvability in Hilbert space of certain nonlinear operator equations depending on parameters, Journal of Mathematical Analysis and Applications, 120, no.2 (1986), 670-678. [Zentralblatt abstract]

---

Other Stuff

Jim Hoffman and I played with symmetric Venn diagrams for awhile, trying to find one for N=11. ("Nonsimple" ones have recently been discovered by Peter Hamburger, et al.) (See the Symmetric Venn Diagrams page, part of the Venn Diagrams Survey maintained by Frank Ruskey, in the Electronic Journal of Combinatorics.) We didn't succeed, but had a lot of fun. A prettier version of my graphic ("ice cream cone curves") mentioned in the above page can be found HERE. A really ugly version (actually the same one) is HERE.

While we were playing around, we convexified a 7-symmetric Venn diagram using the Geometer's Sketchpad. (Click Here for a GSP file. A reasonable printout takes 6 pages. It needs to be pretty big to even begin to see what is going on because each of the 7 pieces is a convex polygon with 37 sides.) Not all 7-symmetric Venn diagrams can be convexified. For such an example, see Figure 5 in Branko Grunbaum's article, "Venn Diagrams II," Geombinatorics, 2, no. 2 (Oct. 1992), 25-32.

---