A Novel Skiagraphic Method of Casting Shade of a Torus

Abstract

This paper introduces a novel skiagraphic method for shading toroidal forms in architectural illustrations, addressing the challenges of traditional techniques. Skiagraphy projects 3D objects onto 2D surfaces to display geometric properties. Traditional shading of tori involves extensive manual calculations and multiple projections, leading to high complexity and inaccuracies. The proposed method simplifies this by focusing on the elevation view, eliminating the need for multiple projections and complex math. Utilizing descriptive geometry, it reduces labor and complexity. Accuracy was validated through comparisons with SketchUp-generated shading and various torus configurations. This technique streamlines shading toroidal shapes while maintaining the artistic value of traditional illustration. Additionally, it has potential applications in 3D model generation from architectural shade casts, contributing to the evolving field of architectural visualization and representation.