geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...

, a bicone or dicone (from , and Greek: ''di-'', both meaning "two") is the three-dimensional surface of revolution of a

rhombus In plane Euclidean geometry, a rhombus (: rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. The rhom ...

around one of its axes of symmetry. Equivalently, a bicone is the surface created by joining two congruent right circular cones at their bases. A bicone has

circular symmetry In geometry, circular symmetry is a type of continuous symmetry for a Plane (geometry), planar object that can be rotational symmetry, rotated by any arbitrary angle and map onto itself. Rotational circular symmetry is isomorphic with the circl ...

and orthogonal

bilateral symmetry Symmetry in biology refers to the symmetry observed in organisms, including plants, animals, fungi, and bacteria. External symmetry can be easily seen by just looking at an organism. For example, the face of a human being has a plane of symme ...

Geometry

For a bicone with radius

r

and half-height

h

, the volume is :

V = \frac \pi r^2 h

and the surface area is :

A =2\pi r \ell\,

where :

\ell = \sqrt

is the slant height.

References

External links

* Elementary geometry Surfaces {{Elementary-geometry-stub

Geometry

See also

References

External links