Construction of parametric equation for equilateral triangle vertices with integer coordinates

M. Yumia, H. Tasman

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper we explore equilateral triangles with integer coordinates vertices lying on the plane a x + b y + c z = 0 where coefficients a, b, c satisfy the Diophantine equation a2 + b2 + c2 = 3d2 for some integer!. If the plane is translated with any integer translation vector, we find planes which also containing equilateral triangles with integer coordinates vertices. Based on that knowledge from some previous studies, another parametric equations for integer coordinates vertices of equilateral triangle in 3 are constructed.

Original languageEnglish
Article number012037
JournalJournal of Physics: Conference Series
Volume1442
Issue number1
DOIs
Publication statusPublished - 29 Jan 2020
EventBasic and Applied Sciences Interdisciplinary Conference 2017, BASIC 2017 - , Indonesia
Duration: 18 Aug 201719 Aug 2017

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