This work brings dates and days of the year 2025 in terms of magic squares of order 11 for the months of June, September and November 2025. It is based on reduced entries magic squares of order 11. In this work we have considered ten types of magic squares of order 11. The details are as given below:

The first type is a double-digit bordered magic square of order 11 embedded with cornered magic square of order 7. The internal magic square of order 7 contains a pandiagonal magic square of order 5 and two equal sums magic rectangles of order 2×5. The external parte is with four equal sums magic rectangles of order 2×7.
The second type is a cornered magic square of order 11, where the magic squares of order 9, 7 and 5 are in the left upper corner. The magic rectangles of orders 2×5, 2×7 and 2×9 are of equal width and length for each case.
The third type is a cornered magic square of order 11 with double-digit bordered magic square of order 9 at the upper left corner embedded with a pandiagonal magic square of order 5. The four magic rectangles of orders 2×5 are of equal width and length. The two magic rectangles of orders 2×9 are also of equal width and length.
The forth type is a cornered magic square of order 11 with single-digit bordered magic square of order 9 at the upper left corner embedded with cornered magic square of order 7. It contains two equal sums magic rectangles of order 2×5 and a pandiagonal magic square of order 5. The magic rectangles of order 2×9 are also of equal width and length. Even though the magic square of order 9 is semi-magic at one diagonal, but it allows to write a magic square of order 11.
The fifth type is also a cornered magic square of order 11 with single digit bordered magic square of order 7 at the upper left corner embedded with magic square of order 5. The magic square of order 9 is also a part of cornered magic square of order 11. The magic rectangles of orders 2×7 and 2×9 are of equal sums in each case. Even though the magic square of order 7 is semi-magic but still we have orders 9 and 11 as magic squares.
The sixth type is also a cornered magic square of order 11 with single-digit bordered magic square of order 9 at the upper left corner embedded with magic squares of orders 5 and 7. The magic square of order 5 is pandiagonal. The two magic rectangles of order 2×9 are of equal width and length. Even though the we have a semi-magic square at one diagonal of order 9, but still the order 11 is a magic square.
The seventh type is a double-digit bordered magic square of order 11 embedded with double digits magic squares of order 7. The internal part is a magic square of order 3. The four magic rectangles of orders 2×3 and 2×7 in each case are of equal width and length. To avoid fractional entries the difference between the sums of magic squares is considered as multiple of 4. Moreover, the magic sum of magic squares of order 3 is considered as multiple of 3, otherwise it gives decimal entries. In this case, an alternative approach based on width of magic rectangles is also suggested.
The eight type is a cornered magic square of order 11, where the magic squares of orders 3, 5, 7 and 9 are at the left upper corner of magic square of order 11. In each case the magic rectangles of orders 2×3, 2×5, 2×7 and 2×9 are of equal width and length. Here also to avoid fractional and decimal entries the width of magic rectangles is considered multiples of 2 and magic sum of order 3 should is considered as multiple of 3.
The ninth type is a cornered magic square of order 11, where at upper left corner there is a double-digit bordered magic square of order 7 embedded with magic square of order 3. In this case the four magic rectangles of order 2×3 are of equal width and length. It also contains a magic square of order 9. The magic rectangles of orders 2×7 and 2×9 are also of equal width and length in each case. Again here to avoid fractional values, the magic sum of order 3 should be multiple of 3.
The tenth type is a cornered magic square of order 11, where at upper left corner there is a single-digit bordered magic square of order 9 embedded with double-digit bordered magic square of order 7. It also contains magic square of order 3. In this case the four magic rectangles of order 2×3 are of equal width and length. The two magic rectangles of order 2×9 are also of equal width and length. Even though the magic square of order 9 is a semi-magic at one diagonal, but still we have order 11 as a magic square.
The eleventh type is a cornered magic square of order 11, where at upper left corner there is a single-digit bordered magic square of order 7 embedded with magic square of orders 3. In this case the two magic rectangles of order 2×7 are of equal width and length. The magic rectangles of order 2×9 are also of equal width and length. Even though the magic square of order 7 is semi-magic at one diagonal, but still we have order 11 as a magic square. In order to have order 7 as a magic square, we must have the condition M/5=S/7, where M and S are sum of magic squares of orders 5 and 7.
The twelfth type is a cornered magic square of order 11, where at upper left corner there is a single-digit bordered magic square of order 9 embedded with magic square of orders 3. In this case the two magic rectangles of order 2×9 are of equal width and length. Even though the magic square of order 9 is semi-magic at one diagonal, but still we have order 11 as a magic square. In order to have order 9 as a magic square, we must have the condition M/5=S/7=T/9.

The pdf files of whole the work are given at the end. The whole work with details can be accessed at the following link:

Inder J. Taneja, Magic Squares of Order 11 Representing Days and Dates of the Year 2025, Zenodo, June 02, 2025, pp. 1-111, https://doi.org/10.5281/zenodo.15576562.

June – 2025: Dates and Days of the Year

Below are examples reduced entries magic squares of order 11 for the the month June, 2025. For each date there are 12 different magic squares of order 11. It is divided in two parts:
1. The first part is with padiagonal magic square of order 5.
2. The second part is with magic squares of order 3.
The second with magic square of order 3 requires a special attention as the entries are fractional values when the magic sum is not a multiple of 3.
Each example brings the dates written in two different ways.