"Every third number is a multiple of three; yet no power of ten, no matter how high one multiplies, is ever also a multiple of three. Similarly, every fourth nu

"Every third number is a multiple of three; yet no power of ten, no matter how high one multiplies, is ever also a multiple of three. Similarly, every fourth number is a multiple of four; but one must get to 102 before the fourth becomes an even divisor. Every power of ten also misses six as an even factor, and one must wait until 103 (1000) before eight divides in evenly. All told, ten simply skips many of the most important fractions, and those it does catch it generally catches imperfectly. Ten is certainly a poor base from this perspective." and "This shows that all bases have irregular wholenumber fractions; for example, the reciprocal of the base less one is always 0.1. However, it also shows that one base stands out in the regularity of the most common and important fractions (1/2, 1/3, 1/4, 1/6, 1/8): that is the base of twelve."