Publications: Magic Squares

MAGIC SQUARES

Work on Recreation of Numbers and Magic Squares
pub-list: DOWNLOAD

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.
4. 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.
5. 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.
6. Inder J. Taneja, Block-Wise and Block-Bordered Magic Squares Generated by Pythagorean Triples: Orders 3 to 47, May 28, 2021, pp. 1-119, Zenodo, http://doi.org/10.5281/zenodo.4837454.
7. Inder J. Taneja, Generating Pythagorean Triples and Magic Squares: Orders 3 to 31, Zenodo, May 28, 2021, pp. 1-153, http://doi.org/10.5281/zenodo.4837491.
8. Inder J. Taneja, Sequential Pythagorean Triples and Perfect Square Sum Magic Squares, Zenodo, June 21, 2021, pp. 1-595, http://doi.org/10.5281/zenodo.5009204.
9. Inder J. Taneja, Magic Squares With Perfect Square Sum of Entries: Orders 3 to 31, Zenodo, July 19, pp. 1-181, 2021, http://doi.org/10.5281/zenodo.5115214.

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.
8. Inder J. Taneja, Magic Squares With Perfect Square Sum of Entries: Orders 3 to 31, Zenodo, July 19, 2021, pp. 1-181, http://doi.org/10.5281/zenodo.5115214
9. Inder J. Taneja, Magic Squares With Perfect Square Sum of Entries: Orders 3 to 47. Zenodo. August 16, 2021, pp. 1-317, https://doi.org/10.5281/zenodo.5205214

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. Inder J. Taneja, Block-Wise and Block-Bordered Magic and Bimagic Squares of Orders 10 to 47. Zenodo, January 14, 2021, pp. 1-185, http://doi.org/10.5281/zenodo.4437783.
3. Inder J. Taneja, Bordered and Block-Wise Bordered Magic Squares: Odd Order Multiples. Zenodo. February 10, 2021, pp. 1-75, http://doi.org/10.5281/zenodo.4527739.
4. Inder J. Taneja, Bordered and Block-Wise Bordered Magic Squares: Even Order Multiples, Zenodo, February 10, 2021, pp. 1-96, http://doi.org/10.5281/zenodo.4527746.
5. Inder J. Taneja, Minimum Perfect Square Sum Bordered and Block-Wise Bordered Magic Squares: Orders 3 to 31. July 20, 2021, pp. 1-82, Zenodo. http://doi.org/10.5281/zenodo.5116408.
6. Inder J. Taneja, Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 4. Zenodo, August 31, 2021, pp. 1-148, https://doi.org/10.5281/zenodo.5347897.
7. Inder J. Taneja, Block-Wise Bordered Magic Squares Multiples of Magic and Bordered Magic Squares of Order 6, Zenodo, September 10, pp. 1-99, https://doi.org/10.5281/zenodo.5500134.
8. Inder J. Taneja, Block-Wise Bordered Magic Squares Multiples of 8, Zenodo, September 17, pp. 1-80, https://doi.org/10.5281/zenodo.5514396.
9. Inder J. Taneja, Block-Wise Bordered Magic Squares Multiples of 10, Zenodo, September 17, pp. 1-170, https://doi.org/10.5281/zenodo.5514398.
10. Inder J. Taneja, Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 12, Zenodo, September 23, pp. 1-170, https://doi.org/10.5281/zenodo.5523608.
11. Inder J. Taneja, Block-Wise Bordered Magic Squares Multiples of 14, Zenodo, September 23, pp. 1-198, https://doi.org/10.5281/zenodo.5528867
12. Inder J. Taneja, Block-Wise and Block-Bordered Magic Squares With Magic Sum 2022, Zenodo, December 28, 2021, pp. 1-38, https://doi.org/10.5281/zenodo.5807789

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.
12. Inder J. Taneja, Odd Order Multiples Universal Magic Squares With 1 and 8, Zenodo, March 11, 2021, pp. 1-155, http://doi.org/10.5281/zenodo.4592579.
13. Inder J. Taneja, Block-Wise Universal Bimagic and Semi-Bimagic Squares With Digits 1 and 8, Zenodo, March 11, 2021, pp. 1-71, http://doi.org/10.5281/zenodo.4599246

Creative Magic Squares

1. Inder J. Taneja, Creative Magic Squares: Single Digit Representations, Zenodo, March 25, 2021, pp. 1-165, http://doi.org/10.5281/zenodo.4637121
2. Inder J. Taneja, Creative Magic Squares: Single Letter Representations, Zenodo, March 25, 2021, pp. 1-41, http://doi.org/10.5281/zenodo.4637125
3. Inder J. Taneja, Creative Magic Squares: Permutable Base-Power Digits Representations, Zenodo, April 03, 2021, pp. 1-44, http://doi.org/10.5281/zenodo.4661586.
4. Inder J. Taneja, Creative Magic Squares: Increasing and Decreasing Orders Crazy Representations, Zenodo, May 26, 2021, pp. 1-54, http://doi.org/10.5281/zenodo.4813030.
5. Inder J. Taneja, Creative Magic Squares: Area Representations, Zenodo, June 22, pp. 1-45, 2021, http://doi.org/10.5281/zenodo.5009224.
6. Inder J. Taneja, Creative Magic Squares: Area Representations With Fraction Numbers Entries (Version 2), Zenodo, August 16, 2021, 1-77, https://doi.org/10.5281/zenodo.5209502.