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According to ancient Chinese legends, a giant tortoise surfaced from the River Luo in central China around 4,000 years ago. The ancients found a pattern on a tortoise shell (see picture above). There were circular dots of numbers that were arranged in a three by three nine-grid pattern on its shell.

The pattern of numbers in any given direction - horizontal, vertical or diagonal add up to a total of 15 (see middle picture above). This is equal to the 15 days in each of the 24 cycles of the Chinese solar year.

The significance of the arrangements of the numbers on the giant tortoise feature prominently in the following:

• The Chinese system of time dimension also takes into account number 9.
• Time is divided into 9 ages, each lasting 20 years.
• Three 20-year ages make up one period. A full cycle takes 180 years. Each period is assigned a number, from one to nine.

The Luo Shu Square

The Luo Shu Square with its 3 x 3 grid or nine sectors is used in Compass School Feng Shui called The Flying Star Theory (Xuan Kong Fei Xing). The Luo Shu Square helps the Feng Shui practitioner to analyze a site, a house and/or an office space or building. It is used to unlock the time dimension of Feng Shui and allows the practitioner to accurately know when is the best time to make changes to the site, the home or the interior decoration.

There exists mathematic patterns in nature (the macrocosmic) that we (the microcosmic) conform to. An example of this is known as the Fibonacci Sequence (0,1,1,2,3,5,8,13,21...). This is a sequence of numbers in which each number in the series is the sum of the two previous numbers. For example, 3 + 5 = 8; 5 + 8 = 13, and so forth to infinity. You can find the Fibonacci Sequence on many flowers. The number of petals is a Fibonacci number: buttercups 5; lily and iris, 3; daisies, 8,13, 21, 34, 55 or 89. We all have Fibonacci fingers: 2 hands, each of which has 5 fingers broken up into 3 parts of 2 knuckles. In fact, please know that Feng Shui's fundamental principles correspond to the numbers of the Fibonacci Sequence: Yin and Yang (2), the Luoshu (3), Five Phases (5), and Eight Trigrams (8). To sum up, the Fibonacci Sequence, the Golden Ratio and Pi are examples of mathematical patterns found in nature and our bodies. They have influenced art, architecture, and music.

The ancient Chinese recognised these patterns in nature and recorded their findings in the Zhouyi. Now, what's the Zhouyi you ask? During the Han dynasty (206 BC - AD 220) scholars set about collecting the great texts of their culture. Before the Han dynasty the Yijing (I Ching/Book of Changes) was known as the Zhouyi, a oracle of all cosmic and human conditions. Commentaries called the Ten Wings were attached to the Zhouyi and the new compilation was called the Yijing. The origin of the Zhouyi remains a mystery. Modern scholars believe it was most likely an accumulative text written by many people. Although the mythical sage-king Fuxi, King Wen (the founder of the Zhou dynasty) and his son the Duke of Zhou are often credited with writing the Zhouyi, there is no proof.

Anyway, the ancients recorded their observations of nature symbolically in the form of solid (yang) and broken (yin) lines. However, in 1980, a scholar named Zhang Zhengland discovered that the lines of the trigrams and hexagrams were actually not part of the Zhouyi. Oracle bones and bronze sacrificial containers dating from 1500 - 1000 BC record trigrams and hexagrams in numeric form, proving that originally, the Zhouyi/Yijing was based on numerological divination. Zhengland theorized that over time the odd numbers became the solid yang lines; even numbers, the broken yin lines as we now know them.