Monday, October 19, 2020

Eye of Horus and unit fractions in ancient Egypt

 

The most interesting thing about Eye of Horus to me is its missing fragment. The legend says Horus' eye was broken into 6 pieces. Ancient Egyptians gave each of them a fraction as a unit of measurement. They are:  1/2,  1/4,  1/8,  1/16,  1/32,  1/64. In the legend, the eye of Horus was restored and made whole. So, the sum of these 6 unit friction should be equal to 1. However, we know the sum was short of 1 by 1/64. There was a fragment missing. 

There are some assumptions on this point. 

Some people believe that the missing part was withheld by Thoth's magic. 

Some people said it could mean that nothing is perfect. 

Some people explained that if we see 1/2,  1/4,  1/8,  1/16,  1/32,  1/64 as a well-known Calculus 'infinite sequence', then this infinite series can be added up to exactly 1. The missing 1/64 was supplied by Calculus. 

He Tu 河图 ( River Chart )--Chinese Cosmology

He Tu is also called Yellow River Map. "He" 河 means River, river of stars or galaxy. It is cosmological diagrams used in ancient China. It was used for the movement of the stars through the Nine Palaces.
The Nine Palaces were the groupings of stars that were identified
that traversed the heavens.  
It also used in geomancy. The table shows the meaning of numbers when it serves to explain the correlation of universe and human life. 

Reference:
https://thekongdanfoundation.com/lao-tzu/the-heru-luoshu-and-nine-palaces/

1 comment:

  1. Cheryl, I appreciate your thinking about the complete/incomplete nature of the Eye of Horus. And, thank you for sharing your knowledge of Chinese Cosmology.

    ReplyDelete

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