Number Three as a Noble Number

According to Pythagoras and the Pythagorean school, the number 3, which they called triad, is the noblest of all digits, as it is the only number to equal the sum of all the terms below it, and the only number whose sum with those below equals the product of them and itself.

Montana's #3 birthday card

A noble number is defined as an irrational number having a continued fraction that becomes an infinite sequence of 1s at some point, The prototype is the inverse of the golden ratio , whose continued fraction is composed entirely of 1s (except for the term), .

Noble Number -- from Wolfram MathWorldf

mathworld.wolfram.com/NobleNumber.html

Images @ Eminpee Fotography