Insphere

Insphere[{p1,,pn+1}]

returns the largest Sphere that can be inscribed in the simplex (triangle, tetrahedron, etc.) defined by points pi in .

Details

  • Insphere is also known as incircle, inscribed circle, or inscribed disk.
  • Insphere evaluates to a Sphere[c,r], where the center c is known as the incenter and radius r is known as the inradius for the related simplex.
  • Insphere is defined for and affinely independent.

Examples

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Basic Examples  (2)

An insphere in 2D:

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And in 3D:

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Surface area of an insphere in 3D:

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Centroid:

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Scope  (17)

Applications  (3)

Properties & Relations  (2)

Neat Examples  (1)

See Also

Circumsphere  Sphere  Ball  Line  Triangle  Tetrahedron  Simplex

Introduced in 2015
(10.2)