Publications: Magic Squares

MAGIC SQUARES

Digital Fonts-Type Magic Squares

  1. Inder J. Taneja, Digital Era: Magic Squares and 8th May 2010 (08.05.2010), May, 2010, pp. 1-4, https://arxiv.org/abs/1005.1384.
  2. Inder J. Taneja, Universal Bimagic Squares and the day 10th October 2010 (10.10.10), Oct, 2010, pp. 1-5, https://arxiv.org/abs/1010.2083.
  3. Inder J. Taneja, DIGITAL ERA: Universal Bimagic Squares, Oct, 2010, pp. 1-8, https://arxiv.org/abs/1010.2541.
  4. Inder J. Taneja, Upside Down Numerical Equation, Bimagic Squares, and the day September 11, Oct. 2010, pp. 1-7, https://arxiv.org/abs/1010.4186.
  5. Inder J. Taneja, Equivalent Versions of “Khajuraho” and “Lo-Shu” Magic Squares and the day 1st October 2010 (01.10.2010), Nov. 2010, pp. 1-7, https://arxiv.org/abs/1011.0451.
  6. Inder J. Taneja, Upside Down Magic, Bimagic, Palindromic Squares and Pythagoras Theorem on a Palindromic Day – 11.02.2011, Feb. 2011, pp.1-9, https://arxiv.org/abs/1102.2394.
  7. Inder J. Taneja, Bimagic Squares of Bimagic Squares and an Open Problem, Feb. 2011, pp. 1-14, https://arxiv.org/abs/1102.3052.
  8. Inder J. Taneja, Representations of Genetic Tables, Bimagic Squares, Hamming Distances and Shannon Entropy, Jun. 2012, pp. 1-19, https://arxiv.org/abs/1206.2220.

Selfie and Palindromic-Type Magic Squares

  1. Inder J. Taneja, Selfie Palindromic Magic Squares, RGMIA Research Report Collection, 18(2015), Art. 98, pp. 1-15. http://rgmia.org/papers/v18/v18a98.pdf.
  2. Inder J. Taneja, Palindromic, Patterned Magic Sums, Composite, and Colored Patterns in Magic Squares. Zenodo, February 2, 2019, pp. 1-99, http://doi.org/10.5281/zenodo.2555741.

Intervally Distributed Magic Squares

  1. Inder J. Taneja, Intervally Distributed, Palindromic, Selfie Magic Squares, and Double Colored Patterns, RGMIA Research Report Collection, 18(2015), Art. 127, pp. 1-45. http://rgmia.org/papers/v18/v18a127.pdf.
  2. Inder J. Taneja, Intervally Distributed, Palindromic and Selfie Magic Squares: Genetic Table and Colored Pattern – Orders 11 to 20, RGMIA Research Report Collection, 18(2015), Art. 140, pp. 1-43, http://rgmia.org/papers/v18/v18a140.pdf.
  3. Inder J. Taneja, Intervally Distributed, Palindromic and Selfie Magic Squares – Orders 21 to 25 , 18(2015), Art. 151, pp. 1-33, http://rgmia.org/papers/v18/v18a151.pdf.

Multi-digits and Number Patterns Magic Squares

  1. Inder J. Taneja, Multi-Digits Magic Squares, RGMIA Research Report Collection, 18(2015), Art. 159, pp. 1-22. http://rgmia.org/papers/v18/v18a159.pdf.
  2. Inder J. Taneja, Different Digits Magic Squares and Number Patterns, Zenodo, February 1, 2019, pp. 1-34, http://doi.org/10.5281/zenodo.2555327.

Perfect Square Sums and Pythagorean Triples Magic Squares

  1. Inder J. Taneja, Magic Squares with Perfect Square Number Sums, Research Report Collection, 20(2017), Article 11, pp. 1-24, http://rgmia.org/papers/v20/v20a11.pdf.
  2. Inder J. Taneja, Pythagorean Triples and Perfect Square Sum Magic Squares, RGMIA Research Report Collection, 20(2017), Art. 128, pp. 1-22, http://rgmia.org/papers/v20/v20a128.pdf.
  3. Inder J. Taneja, Perfect Square Sum Magic Squares, Zenodo, April 29, 2019, pp. 1-65, http://doi.org/10.5281/zenodo.2653927.

Magic Crosses, Letters and Numbers

  1. Inder J. Taneja, Magic Crosses: Repeated and Non Repeated Entries, Zenodo, February 1, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.2554623.
  2. Inder J. Taneja, Representations of Letters and Numbers With Equal Sums Magic Squares of Orders 4 and 6, Zenodo, February 1, 2019, pp. 1-82, http://doi.org/10.5281/zenodo.2555287.

Block-Wise Magic Squares

  1. Inder J. Taneja, Block-Wise Constructions of Magic and Bimagic Squares of Orders 8 to 108, May 15, 2019, pp. 1-43, Zenodo, http://doi.org/10.5281/zenodo.2843326.
  2. Inder J. Taneja, Block-Wise Equal Sums Pandiagonal Magic Squares of Order 4k, Zenodo, January 31, 2019, pp. 1-17, http://doi.org/10.5281/zenodo.2554288.
  3. Inder J. Taneja, Magic Rectangles in Construction of Block-Wise Pandiagonal Magic Squares, Zenodo, January 31, 2019, pp. 1-49, http://doi.org/10.5281/zenodo.2554520
  4. Inder J. Taneja, Block-Wise Equal Sums Magic Squares of Orders 3k and 6k, Zenodo, February 1, 2019, pp. 1-55, http://doi.org/10.5281/zenodo.2554895.
  5. Inder J. Taneja, Block-Wise Unequal Sums Magic Squares, Zenodo, February 1, 2019, pp. 1-52, http://doi.org/10.5281/zenodo.2555260.
  6. Inder J. Taneja, Block-Wise Magic and Bimagic Squares of Orders 12 to 36, Zenodo, February 1, 2019, pp. 1-53, http://doi.org/10.5281/zenodo.2555343.
  7. Inder J. Taneja, Block-Wise Magic and Bimagic Squares of Orders 39 to 45, Zenodo, February 2, 2019, pp. 1-73, http://doi.org/10.5281/zenodo.2555889.

Bordered Magic Squares

  1. Inder J. Taneja, Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences, Zenodo, June 14, 2019, pp. 1-59, http://doi.org/10.5281/zenodo.3246586.
  2. Inder J. Taneja, Symmetric Properties of Nested Magic Squares, Zenodo, June 29, 2019, pp. 1-55, http://doi.org/10.5281/zenodo.3262170
  3. Inder J. Taneja, General Sum Symmetric and Positive Entries Nested Magic Squares, Zenodo, July 04, 2019, pp. 1-55, http://doi.org/10.5281/zenodo.3268877
  4. Inder J. Taneja, Bordered Magic Squares With Order Square Magic Sums, Zenodo, January 20, 2020, pp. 1-26, http://doi.org/10.5281/zenodo.3613690
  5. Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2020. Zenodo, January 20, 2020, pp.1-25. http://doi.org/10.5281/zenodo.3613698
  6. Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, Zenodo, December 16, 2020,, pp. 1-33, http://doi.org/10.5281/zenodo.4327333

Block-Bordered Magic Squares

  1. Inder J. Taneja, Block-Bordered Magic Squares of Prime and Double Prime Numbers – I, Zenodo, August 18, 2020, http://doi.org/10.5281/zenodo.3990291, pp. 1-81
  2. Inder J. Taneja, Block-Bordered Magic Squares of Prime and Double Prime Numbers – II, Zenodo, August 18, 2020, http://doi.org/10.5281/zenodo.3990293, pp. 1-90
  3. Inder J. Taneja, Block-Bordered Magic Squares of Prime and Double Prime Numbers – III, Zenodo, September 01, 2020, http://doi.org/10.5281/zenodo.4011213, pp. 1-93

Block-Wise and Block-Bordered Magic Squares

  1. Inder J. Taneja, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021. Zenodo, December 16, 2020, http://doi.org/10.5281/zenodo.4380343. pp. 1-118.

2-Digits Magic and Bimagic Squares

  1. Inder J. Taneja, Universal Palindromic Day and Two Digits Magic Squares, Zenodo, February 2, 2020, pp. 1-22, http://doi.org/10.5281/zenodo.3633852
  2. Inder J. Taneja, 2-Digits Universal and Upside-Down Palindromic Magic and Bimagic Squares: Orders 3 to 16, Zenodo, April 07, 2020, pp. 1-103, http://doi.org/10.5281/zenodo.3743362.
  3. Inder J. Taneja, Universal Magic and Bimagic Squares of Orders 17 to 32 With Digits 1 and 8, Zenodo, May 30, 2020, http://doi.org/10.5281/zenodo.3866366, pp. 1-103
  4. Inder J. Taneja, Universal Magic and Bimagic Squares of Orders 17 to 32 With Digits 2 and 5, Zenodo, May 30, 2020, http://doi.org/10.5281/zenodo.3866386, pp. 1-113
  5. Inder J. Taneja, Upside-Down Magic and Bimagic Squares of Orders 17 to 32 With Digits 6 and 9, Zenodo, May 30, 2020, http://doi.org/10.5281/zenodo.3866396, pp.1-98
  6. Inder J. Taneja, Universal Magic Squares of Type 4k, 6k and 12k Using the Digits 1 and 8, Zenodo, June 28, 2020, http://doi.org/10.5281/zenodo.3911452, pp. 1-134
  7. Inder J. Taneja, Universal Magic Squares of Type 4k, 6k and 12k Using the Digits 2 and 5, Zenodo, June 28, 2020, http://doi.org/10.5281/zenodo.3911457, pp. 1-133
  8. Inder J. Taneja, Upside-Down Magic Squares of Type 4k, 6k and 12k Using the Digits 6 and 9, Zenodo, June 28, 2020, http://doi.org/10.5281/zenodo.3911461, pp. 1-135
  9. Inder J. Taneja, Universal Magic Squares of Orders 128, 126 and 120 With Digits 1 and 8, Zenodo, October 26, 2020, http://doi.org/10.5281/zenodo.4130393, pp. 1-194
  10. Inder J. Taneja, Universal Magic Squares of Orders 128, 126 and 120 With Digits 2 and 5, Zenodo, October 31, 2020, http://doi.org/10.5281/zenodo.4148929, pp. 1-194
  11. Inder J. Taneja, Upside-Down Magic Squares of Orders 128, 126 and 120 With Digits 6 and 9, Zenodo, October 31, 2020, http://doi.org/10.5281/zenodo.4167058, pp. 1-194.

Categories: Publications

1 reply »

  1. Super. I am interested in Magic squares. I am having a question about Magic squares—– What are the real time uses of magic squares in day today life? One of the professor of Indian Institute of Mathematics, Chennai, Taramani asked this question to me. Will you please guide me with some examples ?

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