Sphericon
(Redirected from Tetrasphericon)
Sphericon | |
---|---|
Rank | 3 |
Type | Developable roller |
Measures (radius 1) | |
Volume | |
Surface area | |
Central density | 1 |
Abstract & topological properties | |
Surface | Sphere |
Orientable | Yes |
Genus | 0 |
Properties | |
Convex | Yes |
Net count | 1 |
Nature | Tame |
The sphericon, or tetracon, is a developable roller. It has a single continuous, developable face such that it rolls along a plane with every point on its face touching plane. It is the simplest roller in both the polycon and prime polysphericon classes. It is also a two-disk roller.
It can be constructed from a bicone with an apex angle of , by dissecting it in half along a plane passing through both apexes, rotating one half by , and recombining the two halves along their square faces. It can also be constructed as the convex hull of two perpendicular half circles sharing a center.
It is visually similar to the oloid, which is also a developable roller.
External links[edit | edit source]
- Wikipedia contributors. "Sphericon".
- Weisstein, Eric W. "Sphericon" at MathWorld.