Mathematical Interpretation of Perspective in a Combine Painting Composed of Multilayer Cuboids

Abstract

Cuboids are one of the most common geometries, and the multilayer cuboid is often used in various sculpture and science. Combine painting is an art that incorporates 3D sculpture into 2D painting and produces various visual effects. A significant component of 2D painting is perspective, and the geometric variation of sculpture affects the visual effect of the art through harmony with the perspective of painting. A geometrical analysis was conducted according to the tilting angle variation of a multilayer cuboid. It was proven that as the angle increases, the overall length and area of the multilayer cuboid in the perpendicular view increase. In the vertical view, the lengths of each cuboid must overlap under a certain condition, and the overlap frequency increases with increasing tilt angles. These geometric analyses can aid in designing multilayer cuboid sculptures that fit the perspective of the 2D art works in the combine painting.



Author Information
Claire H. Shin, St. Bernard’s Academy, United States

Paper Information
Conference: ECAH2024
Stream: Arts - Teaching and Learning the Arts

This paper is part of the ECAH2024 Conference Proceedings (View)
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To cite this article:
Shin C. (2024) Mathematical Interpretation of Perspective in a Combine Painting Composed of Multilayer Cuboids ISSN: 2188-1111 – The European Conference on Arts & Humanities 2024: Official Conference Proceedings (pp. 345-354) https://doi.org/10.22492/issn.2188-1111.2024.30
To link to this article: https://doi.org/10.22492/issn.2188-1111.2024.30


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Posted by James Alexander Gordon