Published December 20, 2024 | Version v2
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Reflexive Year 25: Mathematics of 25 and 2025 in Numbers and Magic Squares

  • 1. Formerly, Professor of Mathematics, Federal University of Santa Catarina, 88040-400 Florianopolis, SC, Brazil

Description

This work brings numerical and magics squares representations for 25 and 2025 in different ways. The number representations are of crazy-type, pyramid-type3, 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 \textbf{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.

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2025 in Numbers and MS.pdf

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