183-192 Days of Year: 01.07.2020-10.07.2020 – Part 2: Patterned Single Letter and Digits Representations

References: Inder J. Taneja. (2019). Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893.Inder J. Taneja. (2019). Single Digit Representations of Numbers From 10001 to 15000, Zenodo, January, 26, 2019, pp. 1-510, http://doi.org/10.5281/zenodo.2550414. Inder J. Taneja. (2019). Single Digit Representations of Numbers From 15001 to 20000, Zenodo, January, 26, … Continue reading 183-192 Days of Year: 01.07.2020-10.07.2020 – Part 2: Patterned Single Letter and Digits Representations

180th, 181st and 182nd Days of Year: 28.06.20, 29.06.20 and 30.06.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised,   Zenodo, December 31, 2019, pp. 1-37,  http://doi.org/10.5281/zenodo.3596193.Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203, http://doi.org/10.5281/zenodo.2556902.Inder J. Taneja, Single Digits Representations of Numbers from 1 to 20000,  https://inderjtaneja.com/2019/01/01/single-letter-representations-of-numbers-from-1-to-20000/Inder J. Taneja, Patterns in Selfie and Semi-Selfie … Continue reading 180th, 181st and 182nd Days of Year: 28.06.20, 29.06.20 and 30.06.20

170-179 Days of Year: 18.06.2020-27.06.2020 – Six Parts

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised,   Zenodo, December 31, 2019, pp. 1-37,  http://doi.org/10.5281/zenodo.3596193.Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203, http://doi.org/10.5281/zenodo.2556902.Inder J. Taneja, Single Digits Representations of Numbers from 1 to 20000,  https://inderjtaneja.com/2019/01/01/single-letter-representations-of-numbers-from-1-to-20000/Inder J. Taneja, Fixed and Flexible Powers Narcissistic … Continue reading 170-179 Days of Year: 18.06.2020-27.06.2020 – Six Parts

169th Day of Year: 17.06.20 – Upside-Down Magic and Bimagic Squares With Digits 1, 6 and 9

References: 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.Inder J. Taneja, All Digits Flexible Power Representations of Natural Numbers From 11112 to 30000, Zenodo, January 14, 2019, pp. 1-140, http://doi.org/10.5281/zenodo.2539203Inder J. Taneja, Permutable Power Minimum Length Representations of Natural Numbers from 0 … Continue reading 169th Day of Year: 17.06.20 – Upside-Down Magic and Bimagic Squares With Digits 1, 6 and 9

165th, 166th, 167th and 168th Days of Year: 13.06.2020, 14.06.2020, 15.06.2020 and 16.06.2020

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised,   Zenodo, December 31, 2019, pp. 1-37,  http://doi.org/10.5281/zenodo.3596193.Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203, http://doi.org/10.5281/zenodo.2556902.Inder J. Taneja, Single Digits Representations of Numbers from 1 to 20000,  https://inderjtaneja.com/2019/01/01/single-letter-representations-of-numbers-from-1-to-20000/Inder J. Taneja, Fixed and Flexible Powers Narcissistic … Continue reading 165th, 166th, 167th and 168th Days of Year: 13.06.2020, 14.06.2020, 15.06.2020 and 16.06.2020

161st, 162nd, 163rd and 164th Days of Year: 09.06.2020, 10.06.2020, 11.06.2020 and 12.06.2020 – Parts 1, 2 and 3

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised,   Zenodo, December 31, 2019, pp. 1-37,  http://doi.org/10.5281/zenodo.3596193.Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203, http://doi.org/10.5281/zenodo.2556902.Inder J. Taneja, Single Digits Representations of Numbers from 1 to 20000,  https://inderjtaneja.com/2019/01/01/single-letter-representations-of-numbers-from-1-to-20000/Inder J. Taneja, Fixed and Flexible Powers Narcissistic … Continue reading 161st, 162nd, 163rd and 164th Days of Year: 09.06.2020, 10.06.2020, 11.06.2020 and 12.06.2020 – Parts 1, 2 and 3

Upside-Down Magic and Bimagic Squares of Orders 3 to 32 Using 6 and 9

This work brings, magic squares of order 3 to 32 just with two digits in such a way that the magic squares are upside-down independent of magic sums. This is done only with two digits 6 and 9. The works for the digits 1 and 8, and 2 and 5 are given separately. In case of 2 and 5, the … Continue reading Upside-Down Magic and Bimagic Squares of Orders 3 to 32 Using 6 and 9

Universal Magic and Bimagic Squares of Orders 3 to 32 Using 2 and 5

This work brings, magic squares of order 3 to 32 just with two digits in such a way that the magic squares are upside-down and mirror looking independent of magic sums. These types of magic squares we call as universal magic squares. This is done only with two digits 2 and 5. In this case the numbers 2 and 5 are written in digital form. … Continue reading Universal Magic and Bimagic Squares of Orders 3 to 32 Using 2 and 5