Reflexive Year 25: Mathematics of 25 and 2025 in Numbers and Magic Squares – Part 2

Part 1: Mathematics of 25 and 2025 in Numbers
Part 2: Mathematics of 25 and 2025 in Magic Squares

This work brings numerical and magics squares representations for 25 and 2025 in different ways. The number representations are of crazy-type, pyramid-type, single digit, single letter, running numbers, Triangular, Fibonacci, palindromic-type, prime numbers, embedded prime patterns, repeated digits prime patterns, selfie, semi-selfie, narcissistic, etc. Some interesting patterns for 25 and 2025 are also included in the work. The magic square representations are of there are three types. One is universal magic squares with 25 and 2025. By universal, we understand that the magic square is upside-down and mirror looking. In this case, we have constructed magic squares of orders 3, 4, 5, 6, 7, 8, 9 and 10. The second types of magic squares are with magic sums 25. In this case, there are only three types of magic squares, i.e., of orders 5, 10 and 25. The third type is magic squares with magic sum 2025. In this case, the magic squares constructed are of orders 3, 5, 6, 9, 10, 15, 18 and 25. In second and third type we have used the sequential entries with positive and/or negative numbers. Below is whole work availabe online:

Inder J. Taneja, Reflexive Year 25: Mathematics of 25 and 2025 in Numbers and Magic Squares, Zenodo, December 20, 2024, pp. 1-94, https://doi.org/10.5281/zenodo.14533193.

Whole work is divided in two parts. One on recreation of numbers and another on Magic squares. See the links as given below:
- Site Links:
  - Part 1: Reflexive Year 25: Mathematics of 25 and 2025 in Numbers and Magic Squares – Part 1 (new site) or
    Part 1: Reflexive Year 25: Mathematics of 25 and 2025 in Numbers and Magic Squares – Part 1 (old site)
  - Part 2: Reflexive Year 25: Mathematics of 25 and 2025 in Numbers and Magic Squares – Part 2 (new site) or
    Part 2: Reflexive Year 25: Mathematics of 25 and 2025 in Numbers and Magic Squares – Part 2 (old site)

This is also appeared in the newspaper “The Guardian”.
Can you solve it? All you need to know about 2025

Part 2: Mathematics of 25 and 2025 in Magic Squares

Below are the classications of the magic squares constructed in this part.

Numbers in Magic Squares: Magic Squares of Order 4
- Magic Square for 25
- Magic Square for 25
- Magic Square for 2025
Univesal (Upside-Down and Mirror Looking) Magic Squares
- Universal Magic Squares of Order 3
- Universal Magic Squares of Order 4
- Universal Magic Squares of Order 5
- Universal Magic Squares of Order 7
- Universal Magic Squares of Order 8
- Universal Magic Squares of Order 9
- Universal Magic Squares of Order 10
Magic Squares with Magic Sum 25
- Magic Squares of Order 5
- Magic Squares of Order 10
- Magic Squares of Order 25
Magic Squares with Magic Sum 2025
- Magic Squares of Order 3
- Magic Squares of Order 5
- Magic Squares of Order 6
- Magic Squares of Order 9
- Magic Squares of Order 10
- Magic Squares of Order 15
- Magic Squares of Order 18
- Magic Squares of Order 15