Category: Magic Numbers

Block-Wise Bordered Magic Squares Multiples of Magic and Bordered Magic Squares of Order 6

During past years author worked with block-wise, bordered and block-bordered magic squares. This work make connection between block-wise and bordered magic squares. We started with block-wise bordered magic squares of orders 108 and 102. Based on these two big magic squares inner order magic squares multiples of 6 are studied. By inner order we understand that magic squares of […]

87th Day of Year – 28.03.2021: Colored and Selfie Fractions Patterns

References: 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-9×9/ Inder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem,  https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/ Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31,  http://doi.org/10.5281/zenodo.4329889 Inder J. Taneja, Selfie Fractions: Addable, Subtractable, Dottable and Potentiable, Zenodo, March 24, […]

Different Digits Selfie Fractions: Four and Five Digits Numerators

The addable fractions are proper fractions, where addition can be inserted into numerator and denominator, and the resulting fraction is equal to the original. The same is true for other operations, such as, addition, subtraction, multiplication, potentiation, etc. These types of fractions, we call selfie-fractions. This work brings selfie fractions with single and/or multiple representations in […]

August 2020 in Numbers: Part 4 – Patterned Single Letter 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 […]

176th Day of Year: 25.06.19

References: Inder J. Taneja. (2019). Palindromic-Type Palindromes – I, Zenodo, January 15, 2019, pp. 1-99,    http://doi.org/10.5281/zenodo.2541174 Inder J. Taneja. (2019). Palindromic-Type Non-Palindromes – I, Zenodo, January 15, 2019, pp. 1-117,    http://doi.org/10.5281/zenodo.2541187 Inder J. Taneja. (2019). Amicable Numbers With Patterns in Products and Powers, Zenodo, March 05, 2019, pp. 1-25,   http://doi.org/10.5281/zenodo.2583306 […]

Multiple-Type Pythagorean Triples Patterns

Pythagorean patterns are well-known in the literature of mathematics. This work brings  patterns obtained by mutiplications with natural numbers to known patterns. It is done in two parts. One without final sum. Second with final sum. In some cases after multiplications, initial lines don’t obey the pattern, but the […]

Multi-Digits Magic Squares

In this work, magic squares are written in multi-digits formats. In some situations, different digits are considered according to order of magic squares. Magic squares related to combination with repetitions are also considered. In each case study is extended to palindromic magic squares. Full Work: Multi-Digits Magic Squares