List of abstracts of the papers that appeared in Topics in Recreational Mathematics Volume 4, ISBN: 978-1514317518
Are Canadian NHL Hall Of Famers Winter
Babies?
Arthur E. Mittnacht
Paul M. Sommers
Department of Economics
Middlebury College
Middlebury, Vermont 05753
Abstract
Canadian
journalist Malcolm Gladwell has suggested that hockey players (particularly
Canadians) with birthdays early in the year have a greater chance of becoming
elite players than those with birthdays late in the year. This note examines all Canadian players (by
position, by birthdate, and by province of birth) elected to the NHL Hall of
Fame through the year 2008. The first
three months in the Gladwell division are January, February, and March; the
first three months in the seasonal division are December, January, and
February. Chi-square goodness-of-fit
tests show no empirical support for the Gladwell breakdown, but
disproportionately many winter babies for the seasonal breakdown.
Concentric
Magic Cubes Of Prime Numbers
Natalia Makarova
Saratov, Russia
Abstract
Like their two-dimensional counterparts,
three-dimensional magic cubes can fascinate and surprise you with their existence.
The level of difficulty and fascination is even higher when magic cubes are
constructed inside magic cubes. When there are several layers, they remind you
of the Russian Matryoshka dolls-within-dolls. Several examples of magic cubes
constructed using formulas are given in this paper, including some constructed
from prime numbers.
Concatenation Problems
Henry Ibstedt
Abstract
This study has
been inspired by questions asked by Charles Ashbacher in the Journal of Recreational Mathematics, vol.
29.2 concerning the Smarandache Deconstructive Sequence. This sequence is a
special case of a more general concatenation and sequencing procedure which is
the subject of this study. The properties of this kind of sequences are studied
with particular emphasis on the divisibility of their terms by primes.
Zeroes
In The Digits Of N Factorial
Michael P. Cohen
mpcohen@juno.com
Abstract
We study the
proportion of zero digits in the decimal (base 10) representation of N!, building on earlier work in the Journal of Recreational Mathematics by
H. L. Nelson and Charles Ashbacher. The
trailing zeroes (zeroes to the right of the rightmost nonzero digit) and
internal zeroes (zeroes to the left of the trailing zeroes) are considered
separately.
The
Magic Of Three
David L. Emory
Abstract
The meaning of
period length is explained as a basis for understanding the significance of the
number three. When an odd number is
multiplied by three, a larger odd number is created with the same period
length. This multiplication by three can
take place again and again, but there is a limit. Here, only period lengths of six are
examined, but many possibilities are demonstrated in a table.
A
Brief Biography Of Al-Kashi
Osama Ta’ani
Department of Mathematics
Plymouth State University
otaani@mail.plymouth.edu
Plymouth State University
otaani@mail.plymouth.edu
Charles Ashbacher
cashbacher@yahoo.com
cashbacher@yahoo.com
Abstract
The man known simply as al-Kashi was born in
Persia, now the modern nation of Iran, in the later part of the fourteenth
century. He rose from a state of severe poverty to become an accomplished
mathematician and scientist, working in many areas.
His textbook Key to Arithmetic (Miftah al-Hisab) and the abbreviated version Concise Exposition of the Key (Talkhis Al-Miftah) was used to teach
mathematics for approximately two centuries in Persia and the Ottoman Empire.
This paper is a brief description of his life along with some of his
accomplishments.
The source for the material in this paper is
“An Analysis of the Contents and Pegagogy of Al-Kashi’s 1427 ‘Key to
Arithmetic’ (Miftah Al-Hisab)” by Osama Hekmatt Ta’ani, his Doctor of
Philosophy dissertation at New Mexico State University.
Triangulation Of A Triangle With Triangles
Having Equal Inscribed Circles
Professor Ion Patrascu
Fraţii Buzeşti National College
Craiova, Romania
Professor
Florentin Smarandache
University of New Mexico
Gallup, USA
Abstract
In this article, we solve the following
problem:
Any triangle can be divided by a cevian into
two triangles that have congruent inscribed circles.
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