The Eye of Hora
(Oil on canvas – 16″ × 10″)
The Eye of Horus…for general protection.
Some mathematical reflection upon the Eye of Horus.
In the Ancient Egyptian measurement system, the Eye Of Horus defined Old Kingdom number one (1) = 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64, by throwing away 1/64 for any rational number. Eye of Horus numbers created six-term rounded-off numbers. The Old Kingdom definition has dropped a seventh term, a remainder 1/64, that was needed to report exact series. During the Middle Kingdom that included the eleventh through fourteenth dynasties, exact series definitions and applications were often written by 6-terms, or less. The Egyptian fraction notation scaled to volume unit remainders to 1/320 hekat. For example, the Egyptian Mathematical Leather Roll, the RMP 2/n table and the Akhmim Wooden Tablet wrote binary quotients and scaled remainders. The metaphorical side of this information linked Old Kingdom fractions 1/2, 1/4, 1/8, 1/16, 1/32, and 1/64, to separate parts of the eye.