Sunday, January 22, 2017

Abstracts of the papers in “Journal of Recreational Mathematics” Volume 10, Number 1, 1977-78

Abstracts of the papers in “Journal of Recreational Mathematics” Volume 10,  Number 1, 1977-78

Given the elapsed time since these papers appeared and that there were no abstracts with the originals, nearly all of the items in this list were written by Charles Ashbacher.

“Polyomino and Polyiamond Problems, Part I,” by Wade E. Philpott
 Polyominoes are formed by attaching identical squares by their edges while polyiamonds are formed by attaching identical equilateral triangles by their edges. In this paper, several new polyomino and polyiamond problems are discussed along with some results being presented.
This article was also presented at the Miami University Fourth Annual Mathematics and Statistics Conference.

“On Going Around Squirrels in Trees,” Robin Ault
 In my youth, we would occasionally “hunt” squirrels by trying to hit them with acorns. When this was done the squirrel would walk around the tree so the trunk was always between the thrower and the squirrel. In this paper, the question, “When the person has walked once around the tree, is it correct to say that he/she has also once around the squirrel?”

“Left-Hand Righting,”  by Michael Yanoff
 As all humans understand, any device designed specifically for either the left or right hand is generally impossible to use on the other hand. However, if one is allowed to place the object in four-dimensional space, it is possible to do so and that is the topic of this paper. 

“Consecutive-Digit Primes (Finale),” by Ray P. Steiner
 Consecutive-digit primes are prime numbers where there is a sequence of digits in ascending order. For the purposes of this type of problem, 9 and 0 are considered consecutive digits. Therefore, 89012 is considered a sequence of consecutive digits. Factorizations of some consecutive digit numbers and the theorems used to do so are given.

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