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

# Month: June 2020

# 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

# Universal Magic and Bimagic Squares of Orders 3 to 32 Using 1 and 8

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 1 and 8. The work for … Continue reading Universal Magic and Bimagic Squares of Orders 3 to 32 Using 1 and 8

# 157th, 158th, 159th and 160th Days of Year: 05.06.2020, 06.06.2020, 07.06.2020 and 08.06.2020 – 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 157th, 158th, 159th and 160th Days of Year: 05.06.2020, 06.06.2020, 07.06.2020 and 08.06.2020 – Parts 1, 2 and 3

# Factorial-Type Numerical Calendar

This short work brings factorial-type numerical representations of the Calendar. It is based on a functional equationa of two and three variables representing day, month and year. There are three ways os wring using either 5!, 6! or 8!. It is given for the years ending in 20 and 2020. The other years can be … Continue reading Factorial-Type Numerical Calendar

# 153rd, 154th, 155th and 156th Days of Year: 01.06.2020, 02.06.2020, 03.06.2020 and 04.06.2020 – 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, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. … Continue reading 153rd, 154th, 155th and 156th Days of Year: 01.06.2020, 02.06.2020, 03.06.2020 and 04.06.2020 – Parts 1, 2 and 3