Bicone

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Bicone
Rank3
Notation
Bracket notation<(II)I>
Elements
Faces2 nappes
Edges1 circle
Vertices2
Measures (radius r, height h)
Volume
Surface area
Height
Related polytopes
DualCylinder
ConjugateNone
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryO(2)×A1
ConvexYes

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

External links[edit | edit source]