Trigram Squares

The Luoshu layout follows the  traditional convention of chinese maps, where North is at the bottom and South at the top, so number one is drawn at the bottom center and number nine at the top center. Still, this is not the only possible layout for a 3×3 magic square and we can take avantage of this to make a link to another chinese concept, the trigrams.

We can use the trigrams as binary encoding of the three transformations: rotation, horizontal mirroring and vertical mirroring. Thus assigning each one of the eight trigrams to one of the eight 3×3 magic squares.

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