AN ESTIMATOR OF MOMENT OF INERTIA OF MAGIC SQUARE ARRAY OF MASSES
Abstract
The classical definition of magic square of order is a square array of consecutive natural numbers from 1 to such that the raw, column and diagonal sum add up to the same number. When the magic square entries are considered as an array of masses of a rigid body, it is established that its moment of inertia is a function of This work consider a more general magic array of masses of a rigid body to establish its inertial moment as a function of the magic sum and the central entry of the array. The paper further discusses the advantage of this development.
References
Cross, D. C. (1966). 3149. The Magic of Squares. The Mathematical Gazette, 50(372), 173. https://doi.org/10.2307/3611960
Eperson, D. B. (1962). 3026. Magic Squares. The Mathematical Gazette, 46(357), 219. https://doi.org/10.2307/3614021
Holmes, R. (1970). 230. The Magic Magic Square. The Mathematical Gazette, 54(390), 376. https://doi.org/10.2307/3613858
Kashimbila, M. (2003). Principles of Mechanics for Scientists and Engineers.
Loly, P. (2004). 88.30 The invariance of the moment of inertia of magic squares. The Mathematical Gazette, 88(511), 151–153. https://doi.org/10.1017/S002555720017456X
Martin, R. J. (2014). Magic Square Designs. In Wiley StatsRef: Statistics Reference Online. https://doi.org/10.1002/9781118445112.stat05050
Mayoral, F. (1996). Semi-Magic Squares and Their Orthogonal Complements. The Mathematical Gazette, 80(488), 308. https://doi.org/10.2307/3619564
Ward, J. E. (1980). Vector Spaces of Magic Squares. Mathematics Magazine, 53(2), 108. https://doi.org/10.2307/2689960
Copyright (c) 2022 FUDMA JOURNAL OF SCIENCES
This work is licensed under a Creative Commons Attribution 4.0 International License.
FUDMA Journal of Sciences
