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At the heart of Pythagorean philosophy is the triangular pattern of 10 dots or
points called the 'tetractys'. Mathematicians regard it as the fourth of the so-called 'triangular
numbers.' These are numbers that are the sums of triangular arrays of dots, each denoting the number 1.
For example, 1, 1+2=3, 1+2+3=6 and 1+2+3+4=10 are the first four triangular numbers. The tetractys,
however, meant far more than this to the followers of Pythagoras. In fact, so much did they honour
it that they swore to their teacher, who had recognised the meaning and importance of this pattern, an
oath of loyalty that mentioned the symbol as his discovery. Just as the number 1 is the source of all
number, so the Monad symbolized by a point or dot is the divine origin of all phenomena. Integers
increase until they attain their perfect completion in the number 10, the Decad. The tetractys is more
than just a representation of this number. It symbolizes the 10-fold nature of Divine Unity as it
manifests in existence — physical and superphysical. As such, it is the template for constructing
holistic objects that possess sacred geometry. By constructing them from tetractyses, objects are
revealed to express numbers — the numbers of dots needed to assemble them. When objects possess 'sacred
geometry' — not the vacuous label found in many books on the subject but the The 10 yods of the tetractys shown opposite consist of the three black yods
forming its corners, i.e., marking its |

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