Sundials from Toroid Surfaces

Stephen Luecking
Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011)
Pages 605–608 Short Papers


The circadian and annual geometry of the sun's rays will simplify into what is termed the shadow planes model for sundial projection. The author employs this model within a 3-D modeling program to design a series of non-traditional sundials derived from toroidal surfaces. These include the standard torus, as well as one eccentric torus: the horn cyclide.