Topic
Sphericon
About: Sphericon is a research topic. Over the lifetime, 2 publications have been published within this topic receiving 8 citations.
Papers
18 Jul 2011
TL;DR: An interactive system for designing 3D objects with the same geometric characteristics as a sphericon is proposed, which used a conical voxel representation for defining these objects.
Abstract: 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.
6 citations
TL;DR: In this paper, a new family of solids called polycons, which generalise the sphericon in a natural way, are introduced and the static properties of the polycons are derived, and their rolling behaviour is compared to that of other developable rollers such as the oloid and particular polysphericons.
Abstract: This paper introduces a new family of solids, which we call \textit{polycons}, which generalise the sphericon in a natural way. The static properties of the polycons are derived, and their rolling behaviour is described and compared to that of other developable rollers such as the oloid and particular polysphericons. The paper concludes with a discussion of the polycons as stationary and kinetic works of art.
2 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2019 | 1 |
| 2011 | 1 |