The Insphere and Circumsphere of a Tetrahedron
The Insphere and Circumsphere of a Tetrahedron
This Demonstration shows a randomly generated tetrahedron together with its inscribed sphere, which is tangent to its faces, and its circumscribed sphere, which passes through its vertices. The points where the inscribed sphere touches the tetrahedron are shown as an internal tetrahedron. Occasionally, the figures are shown partially to enhance the detail involved.