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Author Archives: Simon
Pythagoras and Agrippa
Of right triangles and odd squares 3^2 + 4^2 = 5^2 5^2 + 12^2 = 13^27^2 + 24^2 = 25^29^2 + 40^2 = 41^2…27^2 + 364^2 = 365^2…
Posted in Uncategorized
Tagged Agrippa, Odd Square, Pythagoras, Triangle
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Hexes
Lovely pattern T( 6) = 21T( 66) = 2211T( 666) = 222111T( 6666) = 22221111T( 66666) = 2222211111…
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.
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
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.
Posted in China, Taijitu
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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
Posted in Bagua, China, Square, Trigrams
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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
Posted in China, Square, Trigrams
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Taijitu as a mnemonic for LuoShu
While the LuoShu (3×3 magic square) is simple to memorize by itself, one visual trick to remember the layout of the nine numbers is the Taijitu (yinyang symbol). Write down the numbers from one to nine following the swirling pattern … Continue reading
Posted in China, Square, Taijitu
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SHALL WE PLAY A GAME?
A riddle: I cast dices, pick dominoes, play roulette, draw tarot cards and mahjong tiles but always find the same numbers… … Triangular numbers. T( 3) = 6T( 7) = 28T( 8) = 36T( 12) = 78T( 16) = 136