Polyhedron Circumscribed About a Sphere

Polyhedron Circumscribed About a Sphere

Polyhedron in which all the faces are tangent to a sphere.

  • A polyhedron that can be circumscribed about a sphere is called a circumscribable polyhedron.
  • All regular convex polyhedra can be circumscribed about a sphere.

Example

This is a cube circumscribed about a sphere:

Polyèdre Circonscrit à une Sphère-B

The sphere is tangent to the cube at six points of tangency.

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