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Taijitu Variation

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A calendar: The 120 days of Sodom

You may have read or decided not to read the 120 days of Sodom by Sade. But have you ever wondered why he settled for that number of 120? Expanding on the path laid out by Boccacio and Chaucer, he … Continue reading

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Daoist Magic Talisman

Daoist magic talisman to ward off the evil influences of the “Five Poisonous Animals”. The luoshu numbers are in dotted form, overlayed on a bagua pattern.

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Pythagoras and Agrippa

Of right triangles and odd squares If we look at the center of the odd sized squares in Agrippa’s magic squares (Saturn, Mars, Mercury, Moon), we can spot lengths of the sides of right triangles. By extension, this holds for … Continue reading

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Hexes

Lovely pattern T( 6) = 21T( 66) = 2211T( 666) = 222111T( 6666) = 22221111T( 66666) = 2222211111…

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Goetic Squares

Putting together the trigram and the hexagram squares we now have a complete set of 72 Goetic squares. It is left as an exercise to map each one to its corresponding demon.

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Hexagram or I Ching Squares

After the trigram squares, looking for a further transformation of the LuoShu, we can relax the constraint on the sum of the diagonals. This gives us 64 extra squares that could be mapped on the 64 hexagrams of the I … Continue reading

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Taijitu Transformations

Taijitu and LuoShu are symbols of balance and harmony. We can apply the same three basic transformations to the Taijitu as we did to the LuoShu: rotation, horizontal mirroring and vertical mirroring.

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Trigrams on a Square!

Let’s place the eight trigrams on a LuoShu square. First let’s associate the trigrams to a value according to their binary representation equivalent. We need nine numbers and zero was not much in use when the LuoShu was designed. So let’s … Continue reading

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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 … Continue reading

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