cubical and odd numbers

[FireRose]

Here's an interesting tidbit of information I came across accidentally... but I didn't know this! Ya learn something new every day!

Anyway, thought this may be useful to know.


" In the first century A.D. the question How can the cubes be represented in terms of the natural numbers? was answered by the statement: Cubical numbers are always equal to the sum of successive odd numbers and can be represented this way.

A few examples show what this means:

1(cubed) = 1 = 1
2(cubed) = 8 = 3 + 5
3(cubed) = 7 + 9 + 11
4(cubed) = 13 + 15 + 17 + 19 "  


peace  :smt002