Vedic Star --- 印度占星术在教学中的应用

Vedic Square是一个9×9的表，与九九乘法表类似，只是表的每个格不是行列序号的乘积，而是乘积的数字根。下图是Vedic Square

1

2

3

4

5

6

7

8

9

18

27

36

45

Vedic Square: http://en.wikipedia.org/wiki/Vedic_square

Digital Root: http://en.wikipedia.org/wiki/Digital_root

Some properties of digital roots

• Digital root of a square is 1, 4, 7, or 9.
• Digital root of a perfect cube is 1, 8 or 9.
• Digital root of a prime number (except 3) is 1, 2, 4, 5, 7, or 8.
• Digital root of a power of 2 is 1, 2, 4, 5, 7, or 8. Digital roots of the powers of 2 progress in the sequence 1, 2, 4, 8, 7, 5, 1. This even applies to powers less than 1; for example, 2 to the power of 0 is 1; 2 to the power of -1 (minus one) is .5, with a digital root of 5; 2 to the power of -2 is .25, with a digital root of 7; and so on, ad infinitum in both directions.
• Digital root of an even perfect number (except 6) is 1.
• Digital root of a star number is 1 or 4.
• Digital root of a nonzero multiple of 9 is 9.
• Digital root of a nonzero multiple of 3 is 3, 6 or 9.
• Digital root of a triangular number is 1, 3, 6 or 9.
• Digital root of a factorial ≥ 6! is 9.
• Digital root of Fibonacci Series is a repeating pattern of 1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 9, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1, 9.
• Digital root of the product of twin primes, other than 3 and 5, is 8. The digital root of the product of 3 and 5 (twin primes) is 6.
• Digital root of a non-zero number is 9 if and only if the number is itself a multiple of 9

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