This work brings self-made algebraic magic squares of order 11 for reduced entries. By reduced or less entries, we understand that instead of normal n2 entries of a magic square order n, we are using less number of entries. Moreover, in these situations the entries are no more sequential numbers. These entries are non-sequential positive and negative numbers. Sometimes, we call these kind of magic squares as self-made. It means that these are complete in themselves. Just put the values of entries and choose the magic sum, we get a magic square. In some cases, there maybe decimal or fractional values of the entries depending on the types of magic squares. Different kind of magic squares are used to bring these self-made magic squares. These are of type, block-wise, cornered, single-digit bordered, double-digit bordered, etc. In some cases, the idea of magic rectangles is also applied. In each case, the magic rectangles are considered with equal width and length. For similar kind of work for different orders the readers are suggested to see author’s work given in references.
Once again, self-made means that they are complete in themselves: once you choose the entries and the magic sum, a magic square will always result. These squares can contain integer, decimal, or fractional values.
For more details see the link given below:
Inder J. Taneja, Self-Made Algebraic Magic Squares of Order 11, Zenodo, October 12, 2025, pp. 1-58, https://doi.org/10.5281/zenodo.17330815.
Inder J. Taneja, Self-Made Algebraic Semi-Magic Squares of Order 11, Zenodo, October 12, 2025, pp. 1-77, https://doi.org/10.5281/zenodo.17330822.
See below the details of the work with Examples
Self-Made Algebraic Semi-Magic Squares of Order 11
Below are 23 self-made algebraic magic squares of order 11 for reduced entries.
Result 1: Double-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a double-digit bordered magic square of order 11 embedded with a single-digit bordered magic square of order 7 having pandiagonal magic square of order 5 in the middle. The magic rectangles of orders 2×7 are of equal width and length. The letters S, T and R represents the magic squares of orders 5, 7 and 11 respectively. The difference between R and T should be multiple of 4 to avoid decimal entries. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition T := (7/5)* S. Also the difference between R and T should be multiple of 4. Below are two examples. First one is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition T:=(7/5)* S, where S and T are the magic squares of orders 5 and 7. It contains the following magic squares:
Result 2: Double-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a double-digit bordered magic square of order 11 embedded with a single-digit bordered magic square of order 7. It again contains a cornered magic square of order 3 at the upper-left corner. The magic rectangles of orders 2×3 and 2×7 are of equal width and length in each case. The letters M, S, T and R represents the magic squares of orders 3, 5, 7 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition T:=(7/5)*S. To avoid decimal entries the magic square of order 3 should be multiple of 3. Also the difference between R and T should be multiple of 4. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition T:=(7/5)* S, where S and T are the magic squares of orders 5 and 7. It contains the following magic squares:
Result 3: Double-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a double-digit bordered magic square of order 11 embedded with a single-digit bordered magic squares of order 7 and 5 having magic square of order 3 in the middle. The magic rectangles of order 2×7 are of equal width and length. The letters M, S, T and R represents the magic squares of orders 3, 5, 7 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the conditions T:=(7/5)*S and S:=(5/3)*M. Moreover the magic square of order 3 should be multiple of 3 to avoid decimal entries. Also the difference between R and T should be multiple of 4. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the conditions T:=(7/5)*S and S:=(5/3)*M, where M, S and T are the magic squares of orders 3, 5 and 7. It contains the following magic squares:
Result 4: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a double-digit bordered magic squares of order 9 having a pandiagonal magic square of order 5 in the middle. The magic rectangles of order 2×5 are of equal width and length. The letters S, L and R represents the magic squares of orders 5, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)*L. To avoid decimal entries the difference between R and L should be multiple of 2. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition R:=(11/9)*L, where L and R are the magic squares of orders 9 and 11. It contains the following magic squares:
Result 5: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a double-digit bordered magic squares of order 9 having a cornered magic square of order 5 in the middle. It contains magic square of order 3 at the upper-left corner. The magic rectangles of order 2×3 and 2×5 are of equal width and length in each case. The letters M, S, L and R represents the magic squares of orders 3, 5, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)* L. To avoid decimal entries the difference between S and L should be multiple of 4. Moreover, the magic square of order 3 should be multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition R:=(11/9)* L, where L and R are the magic squares of orders 9and 11. It contains the following magic squares:
Result 6: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a double-digit bordered magic squares of order 9 having again a single-digit bordered magic square of order 5, where magic square of order 3 is in the middle. The magic rectangles of order 2×5 are of equal width and length. The letters M, S, L and R represents the magic squares of orders 3, 5, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the conditions R:=(11/9)* L and S:=(5/3)*M. To avoid decimal entries the difference between S and L should be multiple of 4. Moreover, the magic square of order 3 should be multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the conditions R:=(11/9)* L and S:=(5/3)*M, where S, M, L and R are the magic squares of orders 3, 5, 9 and 11. It contains the following magic squares:
Result 7: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a cornered magic squares of order 9 having a double-digit bordered magic square of order 7 at the upper-left corner. It contains magic square of order 3 in the middle. The magic rectangles of orders 2×3 and 2×7 are of equal width and length in each case. The letters M, T, L and R represents the magic squares of orders 3, 7, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)*L. To avoid decimal entries the difference between T and S should be multiple of 4. Moreover, the magic square of order 3 should be multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition R:=(11/9)*L, where L and R are the magic squares of orders 9 and 11 respectively. It contains the following magic squares:
Result 8: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a cornered magic squares of order 9 and 7 having a pandiagonal magic square of order 5 at the upper-left corner. The magic rectangles of orders 2×5 and 2×7 are of equal width and length in each case. The letters S, T, L and R represents the magic squares of orders 5, 7, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)*L. To avoid decimal entries the difference between T and L, and L and R should be multiple of 2. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition R:=(11/9)*L, where S and T are the magic squares of orders 5 and 7. It contains the following magic squares:
Result 9: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a cornered magic squares of order 9, 7 and 5 having a magic square of order 3 at the upper-left corner. The magic rectangles of orders 2×3, 2×5 and 2×7 are of equal width and length in each case. The letters M, S, T, L and R represents the magic squares of orders 3, 5, 7, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)*L. To avoid decimal entries the pairs (M, S), (S, T) and (T, L) should be multiple of 2. Moreover, the magic sum of order 3 should be multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition R:=(11/9)*L, where S and T are the magic squares of orders 5 and 7. It contains the following magic squares:
Result 10: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a cornered magic squares of order 9 and 7 having a single-digit bordered magic square of order 5 at the upper-left corner. It contains a magic square of order 3 in the middle. The magic rectangles of orders 2×5 and 2×7 are of equal width and length in each case. The letters M, S, T, L and R represents the magic squares of orders 3, 5, 7, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)*L. To avoid decimal entries the pairs (M, S), (S, T) and (T, L) should be multiple of 2. Moreover, the magic sum of order 3 should be multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition R:=(11/9)*L, where L and R are the magic squares of orders 9 and 11. It contains the following magic squares:
Result 11: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a cornered magic squares of order 9 having a magic square of order 7 at the upper-left corner. The magic rectangles of order 2×7 are of equal width and length. The letters T, L and R represents the magic squares of orders 7, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)*L. To avoid decimal entries the pairs (T, L) should be multiple of 2. See below two examples. One is semi-magic square, and the second one is a magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition R:=(11/9)*L, where L and R are the magic squares of orders 9 and 11. It contains the following magic squares:
Result 12: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a cornered magic squares of order 9 having a single-digit bordered magic square of order 7 at the upper-left corner embedded with a pandiagonal magic square of order 5 in the middle. The magic rectangles of order 2×7 are of equal width and length. The letters S, T, L and R represents the magic squares of orders 5, 7, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)*L. To avoid decimal entries the pairs (T, L) should be multiple of 2. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition R:=(11/9)*L, where R and L are the magic squares of orders 11 and 9. An extra conditon T:=(7/5)*S is also used to bring block of order 7 as a magic square. This magic square of order 11 contains the following magic squares:
Result 13: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a cornered magic squares of order 9 having a single-digit bordered magic square of order 7 at the upper-left corner. It is again embedded with a cornered magic square of order 5 having a magic square of order 3 at the upper-lelft corner. The magic rectangles of orders 2×3 and 2×7 are of equal width and length in each case. The letters M, S, T, L and R represents the magic squares of orders 3, 5, 7, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)*L. To avoid decimal entries the pairs (M, S) and (T, L) should be multiple of 2. The magic square of order 3 should also be multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic or semi-magic squares:
Second Example: Magic Square
It is obtained by applying the condition S:=(11/9)*L, where S and T are the magic squares of orders 5 and 7. An extra conditon T:=(7/5)*S is also used to bring block of order 7 as a magic square. It contains the following magic squares:
Result 14: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a cornered magic squares of order 9 having a single digit bordered magic squares of orders 7 and 5 at the upper-left corner embedded with a magic square of order 3 in the middle. The magic rectangles of order 2×7 are of equal width and length. The letters M, S, T, L and R represents the magic squares of orders 3, 5, 7, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)* L. To avoid decimal entries the pairs (T, L) should be multiple of 2. Moreover, the magic square of order 3 should be multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition R:=(11/9)*L, where R and L are the magic squares of orders 11 and 9. Extra conditons T:=(7/5)*S and An extra conditon S:=(5/3)*M are considered to bring block of order 7 as a magic square. The magic square of order 11 contains the following magic squares:
Result 15: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of order 11 embedded with a block-wise magic squares of order 9 having nine equal sums semi-magic magic squares of order 3. It is a semi-magic square at one diagonal. It becomes magic square by applying the condition R:=(11/9)*L. The letter M, L and R represents the magic squares of orders 3, 9 and 11 respectively, where L:=3*M. The equal sums blocks of order 3 as semi-magic squares are considered to avoid considering magic square of order 3 as multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the condition R:=(11/9)*L, where R and L are the magic squares of orders 11 and 9. It contains the following magic squares:
Result 16: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of orders 11 and 9 embedded with a double-digit bordered magic squares of order 7 having a magic square of order 3 in the middle. It is a semi-magic square at one diagonal. It becomes magic square by applying the conditions R:=11/9)*L and L:=(9/7)*T. The letter M, T, L and R represents the magic squares of orders 3, 7, 9 and 11 respectively. To avoid decimal entries we must have the pairs (T, L) and (L, R) as multiple of 2. Also magic square of order 3 as a multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the conditions R:=11/9)*L and L:=(9/7)*T, where R, L and T are the magic squares of orders 11, 9 and 7 respectively. It contains the following magic squares:
Result 17: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of orders 11 and 9 embedded with a magic squares of order 7. It is a semi-magic square at one diagonal. It becomes magic square by applying the conditions R:=(11/9)*L and L:=(9/7)*T. The letter T, L and R represents the magic squares of orders 7, 9 and 11 respectively. To avoid decimal entries we must have the pairs (T, L) and (L, R) as multiple of 2. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the conditions R:=(11/9)*L and L:=(9/7)*T. The letter T, L and R represents the magic squares of orders 7, 9 and 11 respectively. . It contains the following magic squares:
Result 18: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of orders 11 and 9 embedded with a cornered magic squares of order 7. It contains a pandiagonal magic square of order 5 at the upper-left corner. The magic rectangles of order 2×5 are of equal width and length. The letter S, T, L and R represents the magic squares of orders 5, 7, 9 and 11 respectively. It is a semi-magic square at one diagonal. It becomes magic square by applying the conditions R:=11/9)*L and L:=(9/7)*T. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the conditions R:=11/9)*L and L:=(9/7)*T, where T, L and R are the magic squares of orders 7, 9 and 11. It contains the following magic squares:
Result 19: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of orders 11 and 9 embedded with a cornered magic squares of order 7 and 5. It contains a magic square of order 3 at the upper-left corner. It is a semi-magic square at one diagonal. It becomes magic square by applying the conditions R:=11/9)*L and L:=(9/7)*T. The magic rectangles of orders 2×3 and 2×5 are of equal width and length in each case. The letter M, S, T, L and R represents the magic squares of orders 3, 5, 7, 9 and 11 respectively. To avoid decimal entries we must have the pair (S, T) as multiple of 2. Also the magic square of order 3 should be multiple of order 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the conditions R:=11/9)*L and L:=(9/7)*T, whereT, L and R are the magic squares of orders 7, 9 and 11. It contains the following magic squares:
Result 20: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of orders 11 and 9 embedded with a cornered magic squares of order 7. It contains a single-digit bordered magic square of order 5 embedded with a magic square of order 3 in the middle. It is a semi-magic square at one diagonal. It becomes magic square by applying the conditions R:=(11/9)*L and L:=9/7)*T. The magic rectangles of order 2×5 are of equal width and length. The letter M, S, T, L and R represents the magic squares of orders 3, 5, 7, 9 and 11 respectively. To avoid decimal entries we must have the pair (S, T) as multiple of 2. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the conditions R:=11/9)*L and L:=(9/7)*T, whereT, L and R are the magic squares of orders 7, 9 and 11. Also we applied an extra condition S:=(5/3)*M bring a magic square of order 5, where M and S are magic squares of orders 3 and 5 respectively. This magic square of order 11 contains the following sub-magic squares:
Result 21: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of orders 11, 9 and 7 embedded with a pandiagonal magic squares of order 5. It is a semi-magic square at one diagonal. It becomes magic square by applying the conditions R:=(11/9)*L, L:=(9/7)*T and T:=7/5)*S. The letters S, T, L and R represents the magic squares of orders 5, 7, 9 and 11 respectively. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the conditions R:=(11/9)*L, L:=(9/7)*T and T:=7/5)*S, where S, T, L and R represents the magic squares of orders 5, 7, 9 and 11 respectively. It contains the following magic squares:
Result 22: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of orders 11, 9 and 7 embedded with a cornered magic squares of order 5. It contains a magic square of order 3 at the upper- left corner. It is a semi-magic square at one diagonal. It becomes magic square by applying the conditions R:=(11/9)*L, L:=(9/7)*T and T:=7/5)*S. The letters S, T, L and R represents the magic squares of orders 5, 7, 9 and 11 respectively. To avoid decimal entries we must have the (S,M) as multiple of 2. Moreover, the magic square of order 3 should also be multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the conditions R:=(11/9)*L, L:=(9/7)*T and T:=7/5)*S, where S, T, L and R represents the magic squares of orders 5, 7, 9 and 11 respectively. It contains the following magic squares:
Result 23: Single-Digit Bordered Algebraic Semi-Magic Square of Order 11
It is a single-digit bordered magic square of orders 11, 9, 7 and 5 embedded with a magic square of order 3. It is a semi-magic square at one diagonal. The letters M, S, T, L and R represents the magic squares of orders 3, 5, 7, 9 and 11 respectively. It becomes magic square by applying the conditions R:=(11/9)*L, L:=(9/7)*T, T:=7/5)*S and S:=(5/3)*M. The letters M, S, T, L and R represents the magic squares of orders 3, 5, 7, 9 and 11 respectively. . To avoid decimal entries the magic square of order 3 should be multiple of 3. See below two examples. One is semi-magic square, and the second one is magic square.
First Example: Semi-Magic Square
It contains the following magic squares:
Second Example: Magic Square
It is obtained by applying the conditions R:=(11/9)*L, L:=(9/7)*T, T:=7/5)*S and S:=(5/3)*M, where M, S, T, L and R represents the magic squares of orders 3, 5, 7, 9 and 11 respectively. . It contains the following magic squares:
References
Part 1: Day and Dates of the Year – 2025 in Terms of Magic Squares
- Inder J. Taneja, Magic Squares of Orders 3 to 7 in Representing Dates and Days of the Year 2025, Zenodo, May 04, 2025, pp. 1-474, https://doi.org/10.5281/zenodo.15338142.
- Site Link: Magic Squares of Orders 3 to 7 Representing Dates and Days of the Year 2025 (new site)
- Site Link: Magic Squares of Orders 3 to 7 Representing Dates and Days of the Year 2025 (old site)
- Inder J. Taneja, Magic Squares of Order 8 Representing Days and Dates of the Year 2025, Zenodo, May 04, 2025, pp. 1-134, https://doi.org/10.5281/zenodo.15338246.
- Site Link: Magic Squares of Order 8 Representing Days and Dates of the Year 2025 (new site)
- Site Link: Magic Squares of Order 8 Representing Days and Dates of the Year 2025 (old site)
- Inder J. Taneja, Magic Squares of Order 9 Representing Days and Dates of the Year 2025, Zenodo, May 09, 2025, pp. 1-132, https://doi.org/10.5281/zenodo.15375349.
- Site Link: Magic Squares of Order 9 Representing Days and Dates of the Year 2025 (new site)
- Site Link: Magic Squares of Order 9 Representing Days and Dates of the Year 2025 (old site)
- Inder J. Taneja, Magic Squares of Order 10 Representing Days and Dates of the Year 2025, Zenodo, May 21, 2025, pp. 1-59, https://doi.org/10.5281/zenodo.15481738.
- Inder J. Taneja, Magic Squares of Order 12 Representing Days and Dates of the Year 2025 Zenodo, June 10, 2025, pp. 1-43, https://doi.org/10.5281/zenodo.15631884.
Part 2: Reduced Entries Agebraic Magic Squares
- Inder J. Taneja, Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Orders 3 to 7, Zenodo, September 29, 2025, pp. 1-59, https://doi.org/10.5281/zenodo.17219769.
- Site Link: Reduced Entries Algebraic Magic Squares of Orders 3, 5, 7 and 9 (new site)
- Site Link: Reduced Entries Algebraic Pandiagonal Magic Squares of Orders 4 to 8 (new site)
- Site Link: Reduced Entries Algebraic Magic Squares of Orders 3, 5, 7 and 9 (old site)
- Site Link: Reduced Entries Algebraic Pandiagonal Magic Squares of Orders 4 to 8 (old site)
- Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Order 8, Zenodo, September 23, 2025, pp. 1-65, https://doi.org/10.5281/zenodo.17186001.
- Site Link: Reduced Entries Algebraic Magic Squares of Orders 4, 6, 8 and 10 (new site)
- Site Link: Reduced Entries Algebraic Pandiagonal Magic Squares of Orders 4 to 8 (new site)
- Site Link: Reduced Entries Algebraic Pandiagonal Magic Squares of Orders 4 to 8 (old site)
- Inder J. Taneja, Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Order 9, Zenodo, August 27, 2025, pp. 1-92, https://doi.org/10.5281/zenodo.16955571.
- Site Link: Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Order 9 (new site)
- Site Link: Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Order 9 (old site)
- Inder J. Taneja. Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Order 10, Zenodo, September 18, 2025, pp. 1-112, https://doi.org/10.5281/zenodo.17149185
- Site Link: Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Order 10 (new site)
- Site Link: Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Order 10 (old site)
- Inder J. Taneja, Reduced Entries Algebraic Magic and PanMagic Squares of Order 12, Zenodo, July 23, 2025, pp. 1-74, https://doi.org/10.5281/zenodo.16370556.
- Site Link: Reduced Entries Algebraic Magic and Panmagic Squares of Order 12 (new site)
- Site Link: Reduced Entries Algebraic Magic and Panmagic Squares of Order 12 (old site)
- Inder J. Taneja, Self-Made Algebraic Magic Squares of Order 11, Zenodo, October 12, 2025, pp. 1-58, https://doi.org/10.5281/zenodo.17330815 .
- Site Link: Self-Made Algebraic Magic Squares of Order 11 (new site)
- Site Link: Self-Made Algebraic Magic Squares of Order 11 (old site)
- Inder J. Taneja, Self-Made Algebraic Semi-Magic Squares of Order 11, Zenodo, October 12, 2025, pp. 1-77, https://doi.org/10.5281/zenodo.17330822.
- Site Link: Self-Made Algebraic Semi-Magic Squares of Order 11 (new site)
- Site Link: Self-Made Algebraic Semi-Magic Squares of Order 11 (old site)
- Inder J. Taneja, Reduced Entries Algebraic Magic and PanMagic Squares of Order 12, Zenodo, July 23, 2025, pp. 1-74, https://doi.org/10.5281/zenodo.16370556.
- Site Link: Reduced Entries Algebraic Magic and Panmagic Squares of Order 12 (new site)
- Site Link: Reduced Entries Algebraic Magic and Panmagic Squares of Order 12 (old site)
- Inder J. Taneja, Reduced Entries Algebraic Semi-Magic Squares of Order 12, Zenodo, July 23, 2025, pp. 1-60, https://doi.org/10.5281/zenodo.15692014.
- Site Link: Reduced Entries Algebraic Semi-Magic Squares of Order 12 (old site)
- Site Link: Reduced Entries Algebraic Semi-Magic Squares of Order 12 (old site)