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Recreational Mathematics Magazine

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Digital Root Patterns of Three-Dimensional Space

Chia-Yu Lin
  • Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan, Taiwan, 701
  • :
Published Online: 2016-04-14 | DOI: https://doi.org/10.1515/rmm-2016-0002

Abstract

In this study, we define vedic cube as the layout of each digital root in a three-dimensional multiplication table. In order to discover the geometric patterns in vedic cube, we adopt two methods to analyze the digital root in a three-dimensional space. The first method is floor method, which divides vedic cube into several X-Y planes according to different Z values (floors) to analyze the geometric characteristics on each floor. The second method is symmetric plane method, which decomposes vedic cube by its main and secondary symmetric planes.

Keywords: Digital root; pattern; vedic square; vedic cube; symmetry

References

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Published Online: 2016-04-14

Published in Print: 2016-03-01


Citation Information: Recreational Mathematics Magazine. Volume 3, Issue 5, Pages 9–31, ISSN (Online) 2182-1976, DOI: https://doi.org/10.1515/rmm-2016-0002, April 2016

© 2016. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. (CC BY-NC-ND 4.0)

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