Cubinder
Cubinder | |
---|---|
Rank | 4 |
Notation | |
Tapertopic notation | 211 |
Toratopic notation | (II)II |
Bracket notation | [(II)II] |
Elements | |
Cells | 4 cylinders, 1 solid square torus |
Faces | 4 disks, 4 hoses |
Edges | 4 circles |
Measures (edge length 1) | |
Circumradius | |
Volume | |
Height | |
Related polytopes | |
Dual | Dibicone |
Conjugate | None |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | O(2)×B2 |
Convex | Yes |
A cubinder is a prism based on a cylinder. As such, it is the Cartesian product of a circle and a square, and the limit of n,4-duoprisms as n goes to infinity. It consists of a ring of 4 cylinders joined at their circles, joined to a lateral surface similar to a square torus.
It can roll on its square torus surcell; it rolls like a circle and covers the space of a line.
It is a rotatope, thus it is also a toratope, a tapertope, and a bracketope.
Coordinates[edit | edit source]
Where r is the radius of the base and h is the height:
Points on the edges of a cubinder are all points (x,y,z,w) such that
Points on the faces of a cubinder are all points (x,y,z,w) such that
- (circles)
- (hoses)
- (hoses)
Points on the surcell of a cubinder are all points (x,y,z,w) such that
- (cylinders)
- (cylinders)
- (solid square torus)
Points in the interior of a cubinder are all points (x,y,z,w) such that
External links[edit | edit source]
- Wikipedia contributors. "Cubinder".
- Hi.gher.Space Wiki Contributors. "Cubinder".
- Quickfur. "The Cubinder".