Fabrication of Gorgeous Integer Quadruple V. Pandichelvi 1 P. Sandhya 2 1 Assistant Professor, PG & Research Department of Mathematics Urumu Dhanalakshmi College, Trichy, India. 2 Assistant Professor, PG & Research Department of Mathematics SRM Trichy Arts & Science College, Trichy, India. Abstract: In this paper, an elegant non-zero distinct integer quadruple (, , , ) in which addition of any three of them is a cubical integer is determined by exploiting the general solutions to a meticulous cubic Diophantine equation. Keywords: Diophantine triples, Ternary quadratic Diophantine equation. 1.Introduction Diophantus of Alexandria noted that the numbers   ,   ,   ,   had the property that the product of either of these two numbers increased by 1 is the square of a rational number. Sets of integers with a comparable property have been of concern for many years, and a sequence of non- negative integers, is verbalized to be a Diophantine m-tuple {  ,  ,…,  } with property () if each     + ( ≠ ) is the square of an integer [1-7.10]. A variety of integer solutions to different Diophantine equations are analysed in [8,9]. In this communication, the Diophantine quadruple consisting of non-zero distinct integers where the sum of any three elements is a cubic of an integer is discovered. 2. Method of Analysis Let , , ,  be four non-zero distinct integers such that the addition of any three of them is a perfect cube. Consider ++=  (1) ++=  (2) ISSN NO: 1934-7197 Page No: 115 Journal of Engineering, Computing and Architecture Volume 10, Issue 4, 2020