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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021 … Continue reading 13th Day of Year – 13.01.2021: Colored Patterns and Magic Square

# Month: January 2021

# 12th Day of Year – 12.01.2021: Colored Patterns and Magic Square

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum … Continue reading 12th Day of Year – 12.01.2021: Colored Patterns and Magic Square

# 11th Day of Year – 11.01.2021: Colored Patterns and Magic Square

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum … Continue reading 11th Day of Year – 11.01.2021: Colored Patterns and Magic Square

# 10th Day of Year – 10.01.2021: Colored Patterns and Magic Square

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021 4. Inder … Continue reading 10th Day of Year – 10.01.2021: Colored Patterns and Magic Square

# 9th Day of Year – 09.01.2021: Colored Patterns and Magic Square

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021 4. Inder … Continue reading 9th Day of Year – 09.01.2021: Colored Patterns and Magic Square

# Pandigital Equivalent Fractions

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 bring mixed selfie fractions with all basic operations using all the 10 digits, i.e., … Continue reading Pandigital Equivalent Fractions

# 8th Day of Year 2021: 08.01.2021

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021 4. Inder … Continue reading 8th Day of Year 2021: 08.01.2021

# 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 different digits with all basic operations. The … Continue reading Different Digits Selfie Fractions: Four and Five Digits Numerators

# Patterned Selfie Fractions

By selfie fractions, we understand that a fraction, where numerators and denominators are represented by same digits, with basic operation. This paper brings patterned selfie fractions. Patterned selfie fractions are understand as selfie fractions extendable in symmetric way. This work is with repeated digits. Below is a link for download the work: Inder J. Taneja, Patterned … Continue reading Patterned Selfie Fractions

# Different Digits Selfie Fractions: Two and Three 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 … Continue reading Different Digits Selfie Fractions: Two and Three Digits Numerators

# Repeated Digits Selfie Fractions: Two and Three 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. This work brings selfie fractions with single and/or multiple representations having repetition of digits using basic operations without subtraction. The numerator values are … Continue reading Repeated Digits Selfie Fractions: Two and Three Digits Numerators

# 7th Day of Year – 07.01.2021: Colored Patterns and Magic Square

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021 4. Inder … Continue reading 7th Day of Year – 07.01.2021: Colored Patterns and Magic Square

# 2-Digits Universal Magic Squares Up To Orders 128

The whole work is without use of any programming language.It is just based on the number's combinations. Part I: Orders 128, 126 and 120 This work brings magic squares multiples of 4, 6 and 12 using only two digits: (1,8), (2,5) and (6,9). Each magic square contains 14-digits in each cell. Just with two digits, … Continue reading 2-Digits Universal Magic Squares Up To Orders 128

# 6th Day of Year – 06.01.2021: Colored Patterns and Magic Square

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum … Continue reading 6th Day of Year – 06.01.2021: Colored Patterns and Magic Square

# 5th Day of Year – 05.01.2021: Colored Patterns and Magic Square

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021 4. … Continue reading 5th Day of Year – 05.01.2021: Colored Patterns and Magic Square

# 4th Day of Year – 04.01.2021: Colored Patterns and Magic Square

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021 4. … Continue reading 4th Day of Year – 04.01.2021: Colored Patterns and Magic Square

# 3rd Day of Year – 03.01.2021: Colored Patterns and Magic Square

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021 4. … Continue reading 3rd Day of Year – 03.01.2021: Colored Patterns and Magic Square

# More on 2021

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

# 2nd Day of Year – 02.01.2021: Colored Patterns and Magic Square

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, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021 4. … Continue reading 2nd Day of Year – 02.01.2021: Colored Patterns and Magic Square

# 1st Day of Year – 01.01.2021: Colored Patterns and Magic Square

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-9x9/Inder J. Taneja, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021, https://inderjtaneja.com/2020/12/20/block-wise-and-block-bordered-magic-and-bimagic-squares-with-magic-sums-21-212-and-2021/Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2021, https://inderjtaneja.com/2020/12/18/fractional-and-decimal-type-bordered-magic-squares-with-magic-sum-2021/ . Also refers: Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares With … Continue reading 1st Day of Year – 01.01.2021: Colored Patterns and Magic Square