by a geometric method, a one-to-one correspondence is set up between the set of real numbers and the set of all points, except one, on a circle of unit diameter. Then some interesting results relating the corresponding points and real numbers are derived. (Author/CT)

Elucidated is the relationship among three threads of mathematical investigations: Kirkman's schoolgirl problems, finite geometries, and Euler's n-square officer problems. (JP)

Characteristics of the number seven, which relate to many different areas of mathematics, are discussed. (JT)

Three mathematical games which are developments of well-known games are described: Rummy, War, and Remembering. Seven packs of cards are illustrated. (MNS)

Topics covered include matrices and the Fibonacci sequence, number patterns, groups, geometric arrangement of objects, games involving moving on a network, equivalent equations, and factoring. (DT)

The problem of determining the number of squares on a checkerboard is extended to finding the number of rectangles on an n x n board and finding the total numbers of cubes and rectangular solids in an n x n x n cube. (DT)

This book is a partially annotated bibliography of books, articles, and periodicals concerned with mathematical games, puzzles, and amusements. It is a reprinting of Volume 1 of a three-volume series. This volume, originally published in 1955, treats problems and recreations which have been important in the history of mathematics as well as some…

This book is a sequel to MATHEMATICAL CHALLENGES, which was published in 1965. In this sequel are 100 problems, together with their printed solutions. The problems range from those that are quite simple to those that will challenge even the most ardent problem solver, and they include examples from algebra, geometry, number theory, probability,…

Presented are a series of word problems which give students the opportunity to use or develop problem solving skills. The problems are open-ended, with possible answers included. (JP)

This column discusses problems involving a paper folding game for bicimals, the sum of exterior angles of polygons and polyhedra, solving quadratic equations in finite arithmetics, nomograms, and cube folding patterns. (DT)

A discussion of some number patterns which arose from a consideration of the number of diagonals of a general polygon. (MM)