PATTERN OF (x, y, z) ON THE SPHERE SURFACE WITH RADIUS IS A POSITIVE INTEGER

Abstract

For any (x, y, z) in three dimensional space where x, y, z are integers, there is a sphere which has a center at the origin and (x, y, z) is on it’s surface. It turns out that the sphere’s radius need not to be an integer. The purpose of this article is to determine the pattern of such coordinate (x, y, z) that resulted the sphere’s radius is a positive integer. Moreover, we found some interconnection between such (x, y, z) and the sphere’s radius.