An Interactive Design System for Sphericon-Based Geometric Toys Using Conical Voxels

In this paper, we focus on a unique solid, named a "sphericon", which has geometric properties that cause it to roll down a slope while swinging from side to side. We propose an interactive system for designing 3D objects with the same geometric characteristics as a sphericon. For high system efficiency, we used a conical voxel representation for defining these objects. The system allows the user to concentrate on the design while itself ensuring that the geometrical constraints of a sphericon are satisfied. The user can also preview the rolling motion of the object. To evaluate the effectiveness of the proposed system, we fabricated the designed models using a 3D printer, and confirmed that they rolled as smoothly as a standard sphericon.