268th and 269th Days of Year: 25.09.2021 and 26.09.2021 – Semi-Selfie, Single Letter and Selfie Fraction Patterns

References: Inder J. Taneja, Patterned Single Letter Representations of Natural Numbers, Zenodo, July 02, 2020, pp. 1-110, http://doi.org/10.5281/zenodo.3928507Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130,  http://doi.org/10.5281/zenodo.3338366

266th and 267th Days of Year: 23.09.2021 and 24.09.2021 – Crazy, Single Letter and Selfie Fractions 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, 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, Patterned Single Letter Representations of Natural Numbers, Zenodo, July 02, 2020, pp. 1-110, http://doi.org/10.5281/zenodo.3928507Inder J. Taneja, Patterned … Continue reading 266th and 267th Days of Year: 23.09.2021 and 24.09.2021 – Crazy, Single Letter and Selfie Fractions Patterns

264th and 265th Days of Year: 21.09.2021 and 22.09.2021 – Crazy, Semi-Selfie and Selfie Fractions Representations

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, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130,  http://doi.org/10.5281/zenodo.3338366Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096

262nd and 263rd Days of Year: 19.09.2021 and 20.09.2021 – Crazy, Semi-Selfie and Selfie Fractions Representations

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, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130,  http://doi.org/10.5281/zenodo.3338366Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096

Block-Wise Bordered Magic Squares Multiples of Magic and Bordered Magic Squares of Order 6

During past years author worked with block-wise, bordered and block-bordered magic squares. This work make connection between block-wise and bordered magic squares. We started with block-wise bordered magic squares of orders 108 and 102. Based on these two big magic squares inner order magic squares multiples of 6 are studied. By inner order we understand that magic squares of orders 96, 90, 84, etc. Instead of … Continue reading Block-Wise Bordered Magic Squares Multiples of Magic and Bordered Magic Squares of Order 6

260th and 261st Days of Year: 17.09.2021 and 18.09.2021 – Crazy, Single Letter 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, 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 Pythagorean Triples, Zenodo, January 19, 2019, pp.1-53,  http://doi.org/10.5281/zenodo.2544527Inder J. Taneja, Palindromic-Type Pandigital Patterns in … Continue reading 260th and 261st Days of Year: 17.09.2021 and 18.09.2021 – Crazy, Single Letter and Pythagorean Triples Patterns

258th and 259th Days of Year: 15.09.21 and 16.09.21 – Crazy, Semi-Selfie and Single Letter Representations

References: 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, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130,  http://doi.org/10.5281/zenodo.3338366Inder J. Taneja, Patterned Single Letter Representations of Natural Numbers, Zenodo, July 02, 2020, pp. 1-110, http://doi.org/10.5281/zenodo.3928507

256th and 257th Days of Year: 13.09.2021 and 14.09.2021 – Crazy Representations 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, 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 Pythagorean Triples, Zenodo, January 19, 2019, pp.1-53,  http://doi.org/10.5281/zenodo.2544527Inder J. Taneja, Palindromic-Type Pandigital Patterns in … Continue reading 256th and 257th Days of Year: 13.09.2021 and 14.09.2021 – Crazy Representations and Pythagorean Triples Patterns

254th and 255th Days of Year – 11.09.2021 and 12.09.2021: Crazy and Semi-Selfie Representations

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, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130,  http://doi.org/10.5281/zenodo.3338366

252nd and 253rd Days of Year – 09.09.2021 and 10.09.2021: Crazy Representations and Selfie Fractions 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, Selfie Fractions: Addable, Subtractable, Dottable and Potentiable, Zenodo, March 24, 2019, pp. 1-260, http://doi.org/10.5281/zenodo.2604531Inder J. Taneja, Pandigital Equivalent Selfie Fractions, Zenodo, April 02, 2019, pp. 1-392,  http://doi.org/10.5281/zenodo.2622028Inder J. Taneja, Repeated Digits Selfie Fractions: Two and Three … Continue reading 252nd and 253rd Days of Year – 09.09.2021 and 10.09.2021: Crazy Representations and Selfie Fractions Patterns