# Martin Gardner and Mathematics and Pleasure

In the delightful and generously illustrated 32-page booklet that accompanies the
CD-Rom *Martin Gardnerâ€™s Mathematical Games: The
Entire Collection of His Scientific American Columns* (MAA, 2006), Martin
gave an interesting response to the challenge "Complete the following: 'I enjoy
mathematics so much...'" from interviewer Don Albers. He said,

"Because it has a strange kind of unearthly beauty. There is a strong feeling of pleasure, hard to describe, in thinking through an elegant proof, and even greater pleasure in discovering a proof not previously known."Martin continued with characteristic modesty,

"On a low level I have experienced such a pleasure four times:

(1) I discovered the minimal number of acute triangles into which a square can be dissected. (Coxeter includes the dissection in his classicIntroduction to Geometry.)

(2) I found a minimal network of Steiner trees that join all the corners of a chessboard.

(3) I constructed a bicolor proof that every serial isogon of 90 degrees–a polygon with all right angles, and sides in 1, 2, 3, ... sequence–must have a number of sides that is a multiple of 8.

(4) I devised a novel way to diagram the propositional calculus."

Charles Aschbacher, writing in the *Journal of Recreational Mathematics*,
concluded, "Gardner himself downplays his mathematical ability, arguing that he is
'strictly a journalist.' Which is about the only piece of unintentional nonsense
he has ever written. Gardner will go down in history as one of the most
significant mathematicians of all time."

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