  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.
