This turtle (synonymous with tortoise) is also referred to as the “Black Warrior” because of it’s strength, endurance and longevity.
It represents Winter and the direction North.
The turtle is ascribed to have the provided the first mathematical formula for cosmic energy inscribed on the back of it's shell, discovered by the legendary cultural hero Fu Xi.
Chinese literature dating from as early as 2800 BC tells the legend of Lo Shu or "scroll of the river Lo".
In ancient China, there was a huge flood. The people tried to offer some sacrifice to the river god of one of the flooding rivers, the Lo River, to calm his anger. Then, there emerged from the water a turtle with a curious figure/pattern on its shell; there were circular dots of numbers that were arranged in a three by three nine-grid pattern such that the sum of the numbers in each row, column and diagonal was the same: 15. This number is also equal to the 15 days in each of the 24 cycles of the Chinese solar year. These grids are also known as Magic Squares.
Magic Squares have fascinated humanity throughout the ages, and have been around for over 4,000 years. They were frequently found in a number of cultures, including Egypt and India, engraved on stone or metal and worn as talismans, the belief being that magic squares had astrological and divinatory qualities, their usage ensuring longevity and prevention of diseases.
The Kubera-Kolam is a floor painting used in India that is in the form of a magic square of order three. It is essentially the same as the Lo Shu Square, but with 19 added to each number, giving a magic constant of 72.