# Martin Gardner's Mathematics Articles

In addition to his early *Scripta Mathematica*
pieces and his extensive catalogue of mathematical articles (mathemarticles?)
in *Scientific American*, Martin published
mathematics articles in more traditional outlets in the last two decades of his
career, some with very notable collaborators. These varied in style from his
usual informal, chatty expositions to pieces with complete proofs of complex
results.

Martin's own
*A Gardner's Workout* (A.K. Peters, 2001, 11 + 319 pages), subtitled
"Training the Mind and Entertaining the Spirit," collects 34 of his articles on
mathematics, computers, chess, and word games, in addition to 7 book reviews.
Many of the articles listed below are included, sometimes under different titles.

*Martin Gardner in the Twenty-First Century*, edited by Michael Henle
and Brian Hopkins (MAA, 2012, 13 + 295 pages) "collects the articles Gardner
wrote for the MAA in the twenty-first century, together with other articles the
MAA published from 1999 to 2012 that spring from and comment on his work." In
fact, "Eight of Gardner's articles are presented here: together they represent
his playful and engaging approach to recreational mathematics, and the breadth of
his interests, spanning geometry, number theory, graph theory, probability, and
pseudo-science."

From 1988 on, Martin published over 20 mathematics articles, picking up a few
writing awards along the way. Several of these
appeared as part of an irregular column he wrote for *Math Horizons* called
"Gardner's Gatherings."

In 1989, in his 75th year, Martin broke into formal academic journal publishing, as
co-author of an article in *Mathematics Magazine*.

Here's an incomplete list of the mathematical papers he published in his later years:

"The
Propositional Calculus with Directed Graphs" (with Frank Harary,
*Eureka*, Mar 1988, No 48, 33–40).

"Steiner
Trees on a Checkerboard" (with Fan Chung and Ronald Graham,
*Mathematics Magazine*, Apr 1989, Vol 62, 83–96, winner of the 1990
Carl D. Allendoerfer Award for expository writing).

"Tiling
the Bent Tromino with *n* congruent shapes" (*Journal of
Recreational Mathematics*, 1990, Vol 22, No 3, 185–191).

"Serial Isogons of
90 Degrees" (with Lee Sallows, Richard K. Guy and Don Knuth,
*Mathematics Magazine*, Dec 1991, Vol 84, No 5, 315–324).

"A Royal Problem"
(with Andy Liu, *Quantum*, Jul/Aug 1993, Vol 3, No 6, 30–).

"Six Challenging
Dissection Tasks" (*Quantum*, May/Jun 1994, Vol 4, No 5,
26–27).

"Word Ladders: Lewis
Carroll's Doublets" (*Math Horizons*, Nov 1994, Vol 2, No2,
18–19).

"Lewis Carroll's
Sleepless Nights" (*Quantum*, Mar/Apr 1995, Vol 5, No 4,
40–).

"Dr. Matrix on the
Wonders of 8" (*Quantum*, Jul/Aug 1995, Vol 5, No 6, 43–).

"The Magic 3 x
3" (*Quantum*, Jan/Feb 1996, Vol 6, No 3, 24–).

"The Ant on 1 x 1 x
2" (*Math Horizons*, Feb 1996, Vol 3, No 3, 8–9).

"Talkative
Eve" (*Math Horizons*, Apr 1996, Vol 3, No 4, 18–19, and *MAA Focus*, Sep 2010)

"Lucky
Numbers and 2187" (*The Mathematics Intelligencer*, Spring 1997,
Vol 19, No 2, 26–29).

"The
Square Root of two = 1.41421 35623 73095..." (*Math Horizons*,
Apr 1997, 5–8, winner of the 1998
Trevor Evans Award).

"Some Surprising Theorems
About Rectangles in Triangles" (*Math Horizons*, Sep 1997, Vol 5,
No 1, 18–22).

"Some New Discoveries About
3 x 3 Magic Squares" (*Math Horizons*, Feb 1998, Vol 5, No 3,
11–13).

"Ten Amazing Mathematical
Tricks" (*Math Horizons*, Sep 1998, Vol 6, No 1, 13–15, 26).

"The
Asymmetric Propeller" (*The College Mathematics Journal*, Jan
1999, Vol 30, No 1, 18–22, winner of the 2000
George Pólya Award).

"Chess Queens and Maximum
Unattacked Cells" (*Math Horizons*, Nov 1999, Vol 7, No 1,
12–16).

"Modeling Mathematics with
Playing Cards" (*The College Mathematics Journal*, May 2000,
Vol 31, No 3, 173–177).

"Superstrings
and Thelma" (*Math Horizons*, Sep 2010) is a piece of short fiction.

*Scripta Mathematica*/

*Mathematics, Magic and Mystery*/

*Scientific American*/

Puzzle Books / Logic /

*Calculus Made Easy*/

*Articles*/

*Reviews*/ Pleasure / Math Legacy