The Insphere and Circumsphere of a Tetrahedron
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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.
Contributed by: Jaime Rangel-Mondragon (July 2014)
Open content licensed under CC BY-NC-SA
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"The Insphere and Circumsphere of a Tetrahedron"
http://demonstrations.wolfram.com/TheInsphereAndCircumsphereOfATetrahedron/
Wolfram Demonstrations Project
Published: July 18 2014