This square was found in Lascaux and dated back to 15,000-12,000 BC. A rare abstractive figure for that time. Actually, once can notice the 9 squares (3x3) of the magic square.

Symetrical figures are created when numbers are linked orderely.

Lo Shu (it means book of the river) is part of the legacy of the most ancient Chinese mathematical and divinatory tradition (over 5000 years old). The odd and even numbers alternate in the periphery of the Lo Shu pattern, the 4 even numbers are at the four corners, and the 5 odd numbers(outnumbering the even numbers by one) form a cross in the center of the square. The sums in each of the 3 rows, in each of the 3 columns, and in both diagonals, are all 15 (fifteen is the number of days in each of the 24 cycles of the Chinese solar year). Since 5 is in the center cell, the sum of any two other cells that are directly through the 5 from each other is 10.

The magic square based on a binary system

Alquerque in the wall of a medieval mill in "Arroyo de los Molinos", Andalucia, Spain.

From the "Catedral de Ourense" (Orense), in Galicia, Spain.

Nine Men's Morris or Merels board

Supposedly, the first carved board ever discovered was found 3500 years ago at the temple of Kurna, Egypt. However, in 2006, archeologists have found a Men's Morris engraved stone dated back to the last Ice Age. The last Ice Age started about 50,000 years ago and ended around 8,000 BC.

This engraved rock is thought to be an early games board (Nen Men's Morris). Photo Creswell Heritage Trust. Creswell Crags, England is a Scheduled Ancient Monument and Site of Special Scientific Interest and could also become a World Heritage Site.

**Even, Earth and Underworld**

The science of trinity...

According to Bengt Hemtun, " This is the Gateway to Underworld made of clay to manifest the concept..."

"To that we can add this golden plate from a Stonehenge grave. The groves show the three steps to Underworld."

## 1 comment:

this is really amazing stuff!! shows us that people had a knowledge not only of maths but the power,logic and magic in maths a long time before the Pythagoreans.

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