A Classification of Rectangles in Connection with Two Fascinating Number Patterns

Abstract

            This paper has two sections I and II. Section I exhibits rectangles, where, in each rectangle, the area added with its semi-perimeter is represented either by a Gopa-Vidh number or by a Gopa-Shan number. Section II exhibits rectangles, where, in each rectangle, the area minus its semi-perimeter is represented either by a Gopa-Vidh number or by a Gopa- Shan number. The total number of primitive and non-primitive rectangles is also given.