# Septenary system (II). 22/7

USD 1500

039

Oil, canvas

19.7" x 19.7" (50 x 50 cm)

Kyiv, 2015

Septenary system can be presented in a shape of small stones following the pattern of classic “curl of wave”. Seven stones, then six, then five etc. as shown on the painting. If we count the stones laid down this way, we get not 28 (the sum of the numbers from 1 to 7), but 22 stones only. In septenary system, 22 means 3 times 7 plus 1/7^{th}.

22 = 3 x 7 + 1/7^{th}

3 and 1/7 are equal to 3.142857…, e.g, represent very good approximation to π (3,141592…). In fact, Archimedes recommended 3 and 1/7^{th} as the best practical tool for all the related calculations. No doubt, 3 and 1/7^{th} had very high importance in ancient mathematics.

Here it is.

Another key to better understanding of the harmony of septenary system.