59th Day of Year – 28.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 59th Day of Year – 28.02.2021: Colored and Pythagorean Triples Patterns

58th Day of Year – 27.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 58th Day of Year – 27.02.2021: Colored and Pythagorean Triples Patterns

57th Day of Year – 26.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 57th Day of Year – 26.02.2021: Colored and Pythagorean Triples Patterns

56th Day of Year – 25.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 56th Day of Year – 25.02.2021: Colored and Pythagorean Triples Patterns

55th Day of Year – 24.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 55th Day of Year – 24.02.2021: Colored and Pythagorean Triples Patterns

54th Day of Year – 23.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 54th Day of Year – 23.02.2021: Colored and Pythagorean Triples Patterns

53rd Day of Year – 22.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 53rd Day of Year – 22.02.2021: Colored and Pythagorean Triples Patterns

52nd Day of Year – 21.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 52nd Day of Year – 21.02.2021: Colored and Pythagorean Triples Patterns

51st Day of Year – 20.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 51st Day of Year – 20.02.2021: Colored and Pythagorean Triples Patterns

50th Day of Year – 19.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 50th Day of Year – 19.02.2021: Colored and Pythagorean Triples Patterns

49th Day of Year – 18.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 49th Day of Year – 18.02.2021: Colored and Pythagorean Triples Patterns

48th Day of Year – 17.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 48th Day of Year – 17.02.2021: Colored and Pythagorean Triples Patterns

47th Day of Year – 16.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 47th Day of Year – 16.02.2021: Colored and Pythagorean Triples Patterns

46th Day of Year – 15.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 46th Day of Year – 15.02.2021: Colored and Pythagorean Triples Patterns

45th Day of Year – 14.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 45th Day of Year – 14.02.2021: Colored and Pythagorean Triples Patterns

44th Day of Year – 13.02.2021: Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 44th Day of Year – 13.02.2021: Colored and Pythagorean Triples Patterns

Bordered and Block-Wise Bordered Magic Squares: Odd Order Multiples

In the previous work we did block-wise bordered and block-wise block-bordered magic squares mutiples of even orders. See the link below: Inder J. Taneja, Bordered and Block-Wise Bordered Magic Squares: Even Order Multiples, https://inderjtaneja.com/2021/02/12/bordered-and-block-wise-bordered-magic-squares-even-order-multiples/ The even order multiples considered are of orders 6, 8, 10, 12, 14, 16, 18 and 22. In this case, we have … Continue reading Bordered and Block-Wise Bordered Magic Squares: Odd Order Multiples

Bordered and Block-Wise Bordered Magic Squares: Even Order Multiples

It is always possible to block-wise magic squares of any order except for the orders of type p and 2p, where p is a prime number. On the other hand, one can always write bordered magic squares of any order. In the previous works, the author combined the both, i.e., bordered and block-wise magic squares, … Continue reading Bordered and Block-Wise Bordered Magic Squares: Even Order Multiples

Palindromic Day – 12.02.2021: Upside-Down Magic Square of Order 9

References: Inder J. Taneja, Universal Palindromic Day and Two Digits Magic Squares, February 2, 2020, pp. 1-22, Zenodo, http://doi.org/10.5281/zenodo.3633852Inder 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.

43rd Day of Year – 12.02.2021: Palimdromic Day – Colored and Pythagorean Triples Patterns

References: Inder J. Taneja, Colored Patterns With 2021 On a Board of 9×9, https://inderjtaneja.com/2020/12/26/colored-pattern-with-2021-on-a-board-of-9×9/Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and … Continue reading 43rd Day of Year – 12.02.2021: Palimdromic Day – Colored and Pythagorean Triples Patterns