A126649 -id:A126649 - cp's OEIS frontend

A126709 The Loh-Shu 3 x 3 magic square, variant 2.

4, 9, 2, 3, 5, 7, 8, 1, 6

Offset: 1

Parthasarathy Nambi, Feb 12 2007

The magic sum is 15. See Figure 1.2 on page 10 in Maya Ahmed's PhD thesis. This magic square is referred to Loh-Shu magic square and is attributed to the legendary Fu Xi (Fuh-Hi).

Sequence A033812 lists the same magic square with rows in reversed order, i.e., vertically flipped. - M. F. Hasler, Jan 26 2019

			The magic square is:
  4 9 2
  3 5 7
  8 1 6

Maya Mohsin Ahmed, Algebraic Combinatorics of Magic Squares, arXiv:math/0405476 [math.CO], 2004.
Alexander Poddiakov, Self-Similar Structures of Nontransitive Dice Sets: Examples of Nested "Rock-Paper-Scissors" Relations Based on Numbers from The Lo Shu Magic Square,
Index entries for sequences related to magic squares

A033812 is the same magic square with rows listed in reverse order.
Other magic 3 X 3 squares: A126648, A126652, A126653, A126654.
Larger magic squares: A126647, A126649, A126651, A126650.

Edited by M. F. Hasler, Jan 26 2019

A126710 A 4 x 4 magic square.

Original entry on oeis.org

7, 12, 1, 14, 2, 13, 8, 11, 16, 3, 10, 5, 9, 6, 15, 4

Offset: 1

Parthasarathy Nambi, Feb 12 2007

The magic sum is 34. See Figure 1.2 on page 10 in Maya Ahmed's PhD thesis. This magic square is found in a Jaina inscription of the twelfth or thirteenth century in the city of Khajuraho, India (as mentioned in Maya Ahmed's thesis).

The inscription is in the Parsvanatha Temple and may date back to its construction, estimated at 954. - Charles R Greathouse IV, Dec 24 2018

			The magic square is:
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4

Maya Mohsin Ahmed, Algebraic combinatorics of magic squares, PhD thesis UC Davis, arXiv:math/0405476 [math.CO], 2004.
W. S. Andrews, Magic Squares And Cubes, 1917, pp. 124-126.
Rainer Typke, Magic Square at the Parsvanatha Temple, Khajuraho, Eastern Group, 2008.

Cf. A126654, A126653, A126652, A126651, A126650, A126649, A126648, A126647.

A116198 A 3 x 3 magic square read by rows.

Original entry on oeis.org

7, 0, 5, 2, 4, 6, 3, 8, 1

Offset: 1

Parthasarathy Nambi, Apr 08 2007

The magic sum is 12.

			The magic square is:
7 0 5
2 4 6
3 8 1

Guoce Xin, Constructing All Magic Squares of Order Three.

Cf. A126710, A126976, A126977, A126647, A126648, A126649, A126650, A126651, A126652, A126653, A126654, A126709.

A127907 A 5 x 5 magic square read by rows.

Original entry on oeis.org

17, 24, 1, 8, 15, 23, 5, 7, 14, 16, 4, 6, 13, 20, 22, 10, 12, 19, 21, 3, 11, 18, 25, 2, 9

Offset: 1

Parthasarathy Nambi, Apr 05 2007

The magic sum is 65.

			The magic square is:
17 24 1 8 15
23 5 7 14 16
4 6 13 20 22
10 12 19 21 3
11 18 25 2 9

Wacław Sierpiński, Czym sie zajmuje teoria liczb. Warsaw: PW "Wiedza Powszechna", 1957, p. 17.

Colm Mulcahy, Quasi-Masked Forcing Kind of Magic Squares.

Cf. A126647, A126648, A126649, A126650, A126651, A126652, A126653, A126654, A126709, A126710, A126976, A126977.

A128883 A 4 X 4 magic square with sum 33 read by rows.

Original entry on oeis.org

1, 14, 14, 4, 11, 7, 6, 9, 8, 10, 10, 5, 13, 2, 3, 15

Offset: 1

Parthasarathy Nambi, Apr 18 2007

			The magic square is:
1 14 14 4
11 7 6 9
8 10 10 5
13 2 3 15

A. Skalli, Magic cube with Gaudi's square
Wikipedia, The Sagrada Familia magic square.

Cf. A126710, A126976, A126977, A126647, A126648, A126649, A126650, A126651, A126652, A126653, A126654, A126709.

cp's OEIS Frontend

A126709 The Loh-Shu 3 x 3 magic square, variant 2.

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A126710 A 4 x 4 magic square.

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A116198 A 3 x 3 magic square read by rows.

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A127907 A 5 x 5 magic square read by rows.

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A128883 A 4 X 4 magic square with sum 33 read by rows.

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