Bicone
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Bicone | |
---|---|
Rank | 3 |
Notation | |
Bracket notation | <(II)I> |
Elements | |
Faces | 2 nappes |
Edges | 1 circle |
Vertices | 2 |
Measures (radius r, height h) | |
Volume | |
Surface area | |
Height | |
Related polytopes | |
Dual | Cylinder |
Conjugate | None |
Abstract & topological properties | |
Surface | Sphere |
Orientable | Yes |
Genus | 0 |
Properties | |
Symmetry | O(2)×A1 |
Convex | Yes |
A bicone, also called a spindle, is a bipyramid based on a disk. As a result it can be formed by attaching two cones at the circular base, leaving only the lateral surfaces of the cones exposed. It is also the solid of revolution of a rhombus around one of its diagonals.
Coordinates[edit | edit source]
Where r is the radius of the base and h is the height:
The vertices of a bicone are
Points on the edge of a bicone are all points (x,y,0) such that
Points on the surface of a bicone are all points (x,y,z) such that
Points in the interior of a bicone are all points (x,y,z) such that