- Graphing a quadrilateral using a single Cartesian equation

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# Graphing a quadrilateral using a single Cartesian equation

Citation

Lai, W., & Ho, W. K. (2017). Graphing a quadrilateral using a single Cartesian equation. In W.-C. Yang, D. Meade, & Y. Yuan (Eds.), Electronic Proceedings of the 22nd Asian Technology Conference in Mathematics. Mathematics and Technology, LLC. https://atcm.mathandtech.org/EP2017/contributed/4202017_21456.pdf

Abstract

In this paper, we show that it is possible to graph an arbitrarily given quadrilateral (with known vertices) using only a single Cartesian equation. Crucially, we rely on matrix algebra; in particular, projective mappings which are commonly exploited in computer graphics but seldom mentioned in high school lessons or undergraduate matrix algebra courses. Our exploration is also helped by the use of a graphing calculator. Assuming no prior knowledge of matrices on the part of the reader, this paper introduces the necessary matrix-related machinery that our discussion requires.

Date Issued

2017

ISBN

9780997280715