This work brings representations of 2022 in different ways. These representations are of crazy-type, running numbers, single digit, single letter, Triangular, Fibonacci, palindromic-type, prime numbers, embedded, repeated digits, colored patterns, magic squares, patterned designs, etc. Interesting, this year there will be a day with 11 times repetition of single digit. It will happens on: 22h … Continue reading Mathematical Beauty of 2022

This paper brings representations of 1729, a famous Hardy-Ramanujan number in different situations. These representations are of crazy-type, single digit, single letter, Selfie-type, running expressions, selfie fractions, equivalent fractions, Triangular, Fibonacci, fixed digits repetitions prime numbers patterns , Pythagorean triples, palindromic-type, polygonal-type, prime numbers, embedded, repeated, etc. Ideas toward magic squares are also extended. Some … Continue reading Hardy-Ramanujan Number – 1729: Revised

References: I.J. TANEJA, Embedded Palindromic Prime Numbers – I, RGMIA Research Report Collection, 20(2017), Art. 121, pp. 1-86, http://rgmia.org/papers/v20/v20a121.pdf.I.J. TANEJA, Palindromic Prime Embedded Trees, RGMIA Research Report Collection, 20(2017), Art. 124, pp. 1-14, http://rgmia.org/papers/v20/v20a124.pdf.Inder J. Taneja, https://inderjtaneja.com/2018/08/16/embedded-palprimes-with-10-palindromic-days-of-august-18/.

References: Inder J. Taneja https://www.researchgate.net/publication/313143468_Hardy-Ramanujan_Number_-1729 (more than 4000 reads);Inder J. Taneja, https://www.researchgate.net/publication/316997853_Numbers_from_1_to_1729_Written_in_Terms_of_1729-1729

References: 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. Inder J. Taneja, Different Digits Magic Squares and Number Patterns, Zenodo, February 1, 2019, pp. 1-34, http://doi.org/10.5281/zenodo.2555327.

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.

Semi-Magic Squares of Order 21 With Digits 2 and 1 Above two magic square are semi-magic squares with locks of orders 3 and 7. The semi-magic sums of semi-magic squares is 35555555552. Instead of semi-magic we can construct magic square also, but in this it will be without blocks. Morever, the above magic squares are … Continue reading 21st Day, 21st Year and 21st Century: Upside-Down Semi-Magic Squares of Order 21 With Digits 2 and 1

Reference: Inder J. Taneja, 21 Mathematical Highlights for 2021, https://inderjtaneja.com/2020/12/28/21-mathematical-hightlights-for-2021/

This short work brings 21 main representations of 2021 in different ways. These representations are of crazy-type, running numbers, single digit, single letter, Triangular, Fibonacci, palindromic-type, prime numbers, embedded, repeated digits, colored patterns, magic squares, etc. For download this work please go to following link: Inder J. Taneja, 21 Mathematical Highlights for 2021, Zenodo, December … Continue reading 21 Mathematical Hightlights for 2021

This work is continuation of work on 2021 given at the following link: 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-9x9/ In this work we consider the same designs and put them as blocks of 9x9 (for designs) and 81x81 for small squares. The designs are symmetric as 90o and 180o … Continue reading Extended Colored Patterns With 2021 On a Board of 9×9

W E L C O M E - 2021

Reference: Inder J. Taneja, Hardy-Ramanujan Number -1729,  https://www.researchgate.net/publication/313143468_Hardy-Ramanujan_Number_-1729

Reference: Inder J. Taneja, Hardy-Ramanujan Number -1729, https://www.researchgate.net/publication/313143468_Hardy-Ramanujan_Number_-1729

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