Exsphere (polyhedra): Difference between revisions
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The exsphere of a face of a regular polyhedron is the sphere outside the polyhedron which touches the face and the planes defined by extending the adjacent faces outwards. It is tangent to the face externally and tangent to the adjacent faces internally.
It is the 3d equivalent of the excircle.
See also
External links
- Gerber, Leon (1977). "Associated and skew-orthologic simplexes". Trans. Am. Math. Soc. 231 (1): 47–63. doi:10.1090/S0002-9947-1977-0445393-6. JSTOR 1997867. MR 0445393.
- Hajja, Mowaffaq (2005). "The Gergonne and Nagel centers of an n-dimensional simplex". J. Geom. 83 (1–2): 46–56. doi:10.1007/s00022-005-0011-3.