Abstract
In this paper, the methods for construction of multiplicative magic cubes of order n from the existing additive magic cube of order n has been introduced. Also, the modified Trenkler’s formula for the multiplicative magic cubes of odd and doubly even order has been instigated. Moreover, the newly defined power method has been proposed for the construction of multiplicative magic cubes. In all the methods, the conditions for obtaining multiplicative magic cubes consisting of either odd or even or composite numbers as their elements have been elaborated.
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Acknowledgements
One of the authors, Narbda Rani is thankful to Sant Longowal Institute of Engineering and Technology(SLIET), Longowal, Punjab, India, for providing financial support through fellowship.
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Rani, N., Mishra, V. (2023). Ways of Constructing Multiplicative Magic Cubes. In: Sharma, R.K., Pareschi, L., Atangana, A., Sahoo, B., Kukreja, V.K. (eds) Frontiers in Industrial and Applied Mathematics. FIAM 2021. Springer Proceedings in Mathematics & Statistics, vol 410. Springer, Singapore. https://doi.org/10.1007/978-981-19-7272-0_7
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DOI: https://doi.org/10.1007/978-981-19-7272-0_7
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