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
Welcome 2021: Mathematical Style Below are few symmetric patterns made on the board of 9x9. These patterns are with two colors put in an alternate positions. One color numbering 20 and another 21, welcoming 2021. Since these are made manually, there is great chance of repetitions. Below are only 76 patterns, but there are much … Continue reading PUZZLE: Alternate Colors Symmetric Patterns 2021
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
Below are some representations of 2020 in terms of numbers and embedded or bordered magic squares. For the full work see the following link: Inder J. Taneja, 2020 In Numbers: Mathematical Style - Revised, Zenodo, December 31, 2019, pp.1-37, http://doi.org/10.5281/zenodo.3596193 The work also appeared in Alex Bellos's column on puzzles in "The Guardian", 30 december, … Continue reading 2020 In Numbers – Mathematical Style
Reference: I.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
References: I.J. TANEJA, Selfie Fractions: Addable, Subtractable, Dottable and Potentiable, Zenodo, March 24, 2019, pp. 1-260, http://doi.org/10.5281/zenodo.2604531. I.J. TANEJA, Pandigital Equivalent Selfie Fractions, Zenodo, April 02, 2019, pp. 1-392, http://doi.org/10.5281/zenodo.2622028. I.J. TANEJA, Repeated Digits Selfie Fractions: Two and Three Digits Numerators, Zenodo, Septembr, 12, 2019, pp. 1-1091, http://doi.org/10.5281/zenodo.3406655. I.J. TANEJA, Different Digits Selfie Fractions: Two … Continue reading Three Digits Days: September, 19