###
May 2005 Contents

###
ARTICLES

**On the Way to "Mathematical Games": Part I of an Interview with Martin Gardner**

*Don Albers*

178-190

In this portion of the interview, Martin Gardner discusses his childhood, education, military service, and the beginnings of his career in writing.

**M&m Sequences**

*Harris S. Schultz and Ray C. Shiflett*

191-198

Consider a sequence recursively formed as follows: Start with three real numbers, and then when *k *are known, let the (*k* +1)st be such that the mean of all *k* +1 equals the median of the first *k*. The authors conjecture that every such sequence eventually becomes stable. This article presents results related to their conjecture.

**If Is Constant, Must ***f *(*t* ) = *c* /* t* ?

*Tian-Xiao He, Zachariah Sinkala, and Xiaoya Zha*

199-204

The familiar property of integral of led to the discovery of other functions with this property.

**Intersections of Tangent Lines of Exponential Functions**

*Timothy G. Feeman and Osvaldo Marrero*

205-208

This article looks at how a particular curve associated with tangents of an exponential function is a copy of the exponential itself.

**The Probability that an Amazing Card Trick Is Dull**

*Christopher Swanson*

209-212

The author describes a card trick that failed when he tried it with the student chapter at his university. Computations show that the chance of this happening is about 1 in 25.

**Making a Bed**

*Anthony Wexler and Sherman Stein*

213-221

The origins of this paper lay in making beds by putting pieces of plywood on a frame: If beds need to be 4 feet 6 inches by 6 feet 3 inches, and plywood comes in 4-foot by 8-foot sheets, how should one cut the plywood to minimize waste (and have stable beds)? The problem is of course generalized.

###
Fallacies, Flaws, and Flimflam

*Ed Barbeau, editor*

222-223

###
Classroom Capsules

*Michael Kinyon, editor*

224-237

**A Geometric Series from Tennis**

*James Sandefur*

224-226

In this note, a formula is found, using geometric series, for the probability that a player wins from deuce (by the required two points) given a fixed probability p of winning each point.
**On Sums of Cubes**

*Hajrudin Fejzic, Dan Rinne, and Bob Stein*

226-228

The sums of cubes discussed here are modifications of the well known identity

**Symmetry at Infinity**

*Jennifer Switkes*

228-231

The symmetry in the title arises in the centers of masses of some plane laminas.

**The Flip-Side of a Lagrange Multiplier Problem**

*Angelo Segalla and Saleem Watson*

232-235

The "flip-side" of an optimization problem is dual in the way that maximizing the area of a rectangle with given perimeter corresponds to minimizing the perimeter for fixed area. This note looks at this duality from a Lagrange multiplier perspective.

**Another Proof for the ***p*-Series Test

*Yang Hansheng and Bin Lu*

235-237

The proof presented here is an alternative to the integral test that is usually used.

###
Problems and Solutions

###
Media Highlights

###
Book Review

*A Mathematician at the Ballpark* by Keith Devlin