Even Order Magic Squares Using Bordered Magic Rectangles

Below are the links of the work as well as sites for the even order magic squares of orders 6, 8, 10, 12, 14, 16, 18 and 20. Inder J. Taneja, Different Styles of Magic Squares of Orders 6, 8, 10 and 12 Using Bordered Magic Rectangles, Zenodo, November 14, 2022, pp. 1-26, https://doi.org/10.5281/zenodo.7319985. Site … Continue reading Even Order Magic Squares Using Bordered Magic Rectangles

320th to 327th Days of Year: 16.11.22 to 23.11.22 – Crazy Representations and Pythagorean Triples Patterns

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 320th to 327th Days of Year: 16.11.22 to 23.11.22 – Crazy Representations and Pythagorean Triples Patterns

313th to 319th Days of Year: 09.11.22 to 15.11.22 – Crazy and Power-Plus Equality Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 313th to 319th Days of Year: 09.11.22 to 15.11.22 – Crazy and Power-Plus Equality Representations

306th to 313th Days of Year: 01.11.22 to 08.10.22 – Crazy and Patterned Selfie Fractions Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 306th to 313th Days of Year: 01.11.22 to 08.10.22 – Crazy and Patterned Selfie Fractions Representations

299th to 305th Days of Year: 25.10.22 to 31.10.22 – Crazy, Power-Plus Equality and Semi-Selfie Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 299th to 305th Days of Year: 25.10.22 to 31.10.22 – Crazy, Power-Plus Equality and Semi-Selfie Representations

291st to 298th Days of Year: 17.10.22 to 24.10.22 – Crazy, Selfie-Fraction Pattern and Semi-Selfie Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 291st to 298th Days of Year: 17.10.22 to 24.10.22 – Crazy, Selfie-Fraction Pattern and Semi-Selfie Representations

283rd to 290th Days of Year: 09.10.22 to 16.10.22 – Crazy, Selfie-Fractions Patterns and Power-Plus Equality Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 283rd to 290th Days of Year: 09.10.22 to 16.10.22 – Crazy, Selfie-Fractions Patterns and Power-Plus Equality Representations

275th to 282nd Days of Year: 01.10.22 to 08.10.22 – Crazy and Power-Plus Equality Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 275th to 282nd Days of Year: 01.10.22 to 08.10.22 – Crazy and Power-Plus Equality Representations

267th to 274th Days of Year: 24.09.22 to 30.09.22 – Crazy and Power-Plus Equality Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 267th to 274th Days of Year: 24.09.22 to 30.09.22 – Crazy and Power-Plus Equality Representations

Different Styles of Magic Squares of Orders 8 and 10 Using Bordered Magic Rectangles and the Formula (a+b)^2

For the first time in this work, two new concepts in construction of magic square are considered: Using small blocks of magic or bordered magic rectangles. It is not always possible to write bordered magic rectangles for the non-sequential entries. In this case, the simple magic rectangles are considered. Using algebraic formula (a+b)2. The whole work contains magic squares of even … Continue reading Different Styles of Magic Squares of Orders 8 and 10 Using Bordered Magic Rectangles and the Formula (a+b)^2

259th to 266th Days of Year: 16.09.22 to 23.09.22 – Crazy Representations and Patterned Selfie Fractions

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 259th to 266th Days of Year: 16.09.22 to 23.09.22 – Crazy Representations and Patterned Selfie Fractions

251st to 258th Days of Year: 08.09.22 to 15.09.22 – Crazy and Power-Plus Equality Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 251st to 258th Days of Year: 08.09.22 to 15.09.22 – Crazy and Power-Plus Equality Representations

244th to 250th Days of Year: 01.09.22 to 07.09.22 – Crazy and Semi-Selfie Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096 Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July … Continue reading 244th to 250th Days of Year: 01.09.22 to 07.09.22 – Crazy and Semi-Selfie Representations

229tt to 236th Days of Year: 17.08.22 to 24.08.22 – Crazy and Semi-Selfie Representations

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  http://doi.org/10.5281/zenodo.3520096Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, … Continue reading 229tt to 236th Days of Year: 17.08.22 to 24.08.22 – Crazy and Semi-Selfie Representations

221st to 228th Days of Year: 09.08.22 to 16.08.22 – Crazy and Semi-Selfie Representations

ByInder J. Taneja  AUG 11, 2022 References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267, http://doi.org/10.5281/zenodo.3520096Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, … Continue reading 221st to 228th Days of Year: 09.08.22 to 16.08.22 – Crazy and Semi-Selfie Representations

213th to 220th Days of Year: 01.08.22 to 08.08.22 – Crazy Representations and Patterns in Selfie Fractions

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267, http://doi.org/10.5281/zenodo.3520096

206th, 207th, 208th, 209th, 210th, 211th and 212th Days of Year: 25.07.22, 26.07.22, 27.07.22, 28.07.22, 29.07.22, 30.07.22 and 31.07.22 – Crazy Representations and Power Plus Equalities

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Same Digits Equality Expressions: Power and Plus, Zenodo, January 03, 1-1729,  https://doi.org/10.5281/zenodo.3597506.

186th, 187th, 188th and 189th Days of Year: 05.07.22, 06.07.22, 07.07.22 and 08.07.22 – Crazy, Pythagorean Triples and Selfie Fractions

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January … Continue reading 186th, 187th, 188th and 189th Days of Year: 05.07.22, 06.07.22, 07.07.22 and 08.07.22 – Crazy, Pythagorean Triples and Selfie Fractions

182nd, 183rd, 184th and 185th Days of Year: 01.07.22, 02.07.22, 03.07.22 and 04.07.22 – Crazy, Pythagorean Triples and Semi-Selfie Representations

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January … Continue reading 182nd, 183rd, 184th and 185th Days of Year: 01.07.22, 02.07.22, 03.07.22 and 04.07.22 – Crazy, Pythagorean Triples and Semi-Selfie Representations

178th, 179th, 180th and 181st Days of Year: 27.06.22, 28.06.22, 29.06.22 and 30.06.22 – Crazy, Pandigital Type, and Pythagorean Triples Patterns

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January … Continue reading 178th, 179th, 180th and 181st Days of Year: 27.06.22, 28.06.22, 29.06.22 and 30.06.22 – Crazy, Pandigital Type, and Pythagorean Triples Patterns