This paper examines the basic properties of perspective drawings, the history of perspective drawings, and the basic mathematics of perspective. Using a side view and a top view of a three-dimensional projection, similar triangles can be used to ﬁnd distances from the axes and vanishing point in a projection. By breaking the three-dimensional projection into two, two-dimensional planes, one can recreate projections based on actual ﬁgures, or create placements of ﬁgures in real space based on a projection. Using this method, one 'can change a projection based on the changing position of the vanishing point. This simple approach to perspective makes it accessible to students of different ability levels, as well as creating a strong connection between art and mathematics.
© Virginia Mathematics and Science Coalition, licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0) (https://creativecommons.org/licenses/by/4.0/)
"The Perfect Perspective: A Mathematical Analysis of Perspective Using Tools Available to Middle School Students,"
Journal of Mathematics and Science: Collaborative Explorations: Vol. 6
, Article 21.
Available at: https://scholarscompass.vcu.edu/jmsce_vamsc/vol6/iss1/21