Magic Square of Order 40 With 22

Below is a a magic square of order 40 made from consecutive number 1 to 1600. It contains 16 equal sums bordered magic squares of order 8 and 36 equal sums pandiagonal magic squares of order 4. If we consider 16 pandiagonal magic squares of order 4 appearing in 16 bordered magic squares of order 8, then there are 52 pandiagonal magic squares of order … Continue reading Magic Square of Order 40 With 22

Mathematical Beauty of 2022

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

Hardy-Ramanujan Number – 1729: Revised

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

Three Digits Embedded Prime Patterns for Three Days: 20.10.2021, 21.10.2021 and 22.10.2021

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/.

21st Day, 21st Year and 21st Century: Upside-Down Semi-Magic Squares of Order 21 With Digits 2 and 1

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

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

Extended Colored Patterns With 2021 On a Board of 9×9

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

PUZZLE: Alternate Colors Symmetric Patterns 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

2020 In Numbers – Mathematical Style

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