This work brings representations of 24 and 2024 in diverse 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.
Below is a link of work for download:
Inder J. Taneja, Mathematical Aspects of 24 and 2024, Zenodo, December 19, 2023, pp. 1-40, https://doi.org/10.5281/zenodo.10406530.
This is also appeared in the newspaper “The Guardian”.
https://www.theguardian.com/science/2023/dec/25/can-yule-solve-it-we-need-to-talk-about-2024
https://www.theguardian.com/science/2023/dec/25/did-yule-solve-it-we-need-to-talk-about-2024
Whole work can be downloaded from the above link. Total there are twenty-four itens aborded in this work. These itens are represented individually for 24 and/or 2024 in different frames.
- Crazy Representations.
- Single Digit Representations and Patterns.
- Single Letter Representations and Patterns.
- Running Equalities Expressions.
- Embedded Palindromic Prime Patterns.
- Pythagorean Triples and Patterns.
- Selfie Representations.
- Narcissistic Type Representations.
- Power Representations.
- Permutable Bases and Powers.
- Selfie Fractions and Patterns.
- Equivalent Fractions.
- Power-Plus-Minus Equalities.
- Factorial-Power Equalities.
- Fixed Digits Repetitions Prime Patterns.
- Amicable Numbers.
- Semi-Selfie Representations.
- Palindromic-Type Patterns.
- Power Pattern.
- Upside-Down and Mirror Looking.
- Magic Squares.
- 2024 in Magic Squares of Order 4.
- Two-Colors Patterns.
- Numbers 1 to 200 in Terms of 2024-4204.
1. Crazy Representations
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-01.png)
2. Single Digit Representations and Patterns
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-02.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-03.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-04.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-05.png)
3. Single Letter Representations and Patterns
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-06.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-07-1.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-08.png)
4. Running Equalities Expressions
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-09.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-10.png)
5. Embedded Palindromic Prime Patterns
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-11.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-12.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-13.png)
6. Pythagorean Triples and Patterns
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-14.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-15.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-16.png)
7. Selfie Representations
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-17.png)
8. Narcissistic Type Representations
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-18.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-19-1.png)
9. Power Representations
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-20-1.png)
10. Permutable Bases and Powers
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-21-1.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-22.png)
11. Selfie Fractions and Patterns
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-23.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-24.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-25.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-26.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-27.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-28.png)
12. Equivalent Fractions
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-29.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-30.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-31.png)
13. Power-Plus-Minus Equalities
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-32-1.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-33.png)
14. Factorial-Power Equalities
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-34-1.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-35.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-36.png)
15. Fixed Digits Repetitions Prime Patterns
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-37.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-38.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-39.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-40.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-41.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-42.png)
16. Amicable Numbers
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-43.png)
17. Semi-Selfie Representations
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-44.png)
18. Palindromic-Type Patterns
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-45.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-46-1.png)
19. Power Pattern
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-47.png)
20. Upside-Down and Mirror Looking
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-48-1.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-49.png)
21. Magic Squares
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-50.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-51.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-52.png)
22. 2024 in Magic Squares of Order 4
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-53.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-54.png)
23. Two-Colors Patterns
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-55.png)
24. Numbers 1 to 200 in Terms of 2024-4204
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-56.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-57.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-58.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-59-1.png)
![](https://numbers-magic.com/wp-content/uploads/2023/12/2024-60.png)
References
- Inder J. Taneja, 2019 In Numbers, Zenodo, December 31, 2019, pp. 1-27, http://doi.org/10.5281/zenodo.2529103.
- Inder J. Taneja, 2020 In Numbers: Mathematical Style, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193.
- Inder J. Taneja, 21 Mathematical Highlights for 2021, Zenodo, December 26, 2020, pp. 1-75, http://doi.org/10.5281/zenodo.4394408.
- Inder J. Taneja, Geometrical, Numerical, and Symmetrical Representations for the Days of 2020, Zenodo, October 04, 2020, pp. 1-201, http://doi.org/10.5281/zenodo.4065069.
Also see the link: Inder J. Taneja, Geometrical, Numerical, and Symmetrical Representations for the Days of 2020, https://inderjtaneja.wordpress.com/2020/10/07/geometrical-numerical-and-symmetrical-representations-for-the-days-of-2020. - Inder J. Taneja, Hardy-Ramanujan Number – 1729, Zenodo, December 22, 2021, pp. 1-106, https://doi.org/10.5281/zenodo.5799640.
- Inder J. Taneja, Mathematical Beauty of 2022, Zenodo, December 26, 2021, pp. 1-78, https://doi.org/10.5281/zenodo.5805264.
- Inder J. Taneja, 23 and 2023 in Numbers and Patterns, Zenodo, December 22, 2022, pp. 1-51, https://doi.org/10.5281/zenodo.7473340.
- Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares with Magic Sum 2020, Zenodo, January 20, 2020, pp.1-25. http://doi.org/10.5281/zenodo.3613698.
- Inder J. Taneja, Block-Wise and Block-Bordered Magic and Bimagic Squares with Magic Sums 21, 21^2 and 2021, Zenodo, December 16, 2020, pp. 1-118, http://doi.org/10.5281/zenodo.4380343.
- Inder J. Taneja, Fractional and Decimal Type Bordered Magic Squares with Magic Sum 2021, Zenodo, December 16, 2020, pp. 1-33, http://doi.org/10.5281/zenodo.4327333.
- Inder J. Taneja, Block-Wise and Block-Bordered Magic Squares with Magic Sum 2022, Zenodo, December 28, 2021, pp. 1-38, https://doi.org/10.5281/zenodo.5807789.
- Inder J. Taneja, Mathematical Representations of the Last Day of the Year 23 Written American Style: 12.31.23 (123123), Zenodo, December 19, 2023, pp. 1-13, https://doi.org/10.5281/zenodo.10405771.
- Inder J. Taneja, Mathematical Aspects of 24 and 2024, Zenodo, December 19, 2023, pp. 1-40, https://doi.org/10.5281/zenodo.10406530.