Re: Sphere inside a pyramid

"odin" <ragnarok@xxxxxxxxx> writes:
>>> What is the equation of the sphere inside a pyramid of unequal sides such
>>> that each surface of the pyramid is tangent to the sphere?
>>
>> In general there won't be one.

>True. It would be like asking what circle fits in an arbitrary rectangle
>such that each side is a tangent to the circle. Only squares work.

But the original poster didn't really specify that the "pyramid"
was made up of five faces.

With 4 faces, i.e. a tetrahedron, it seems like he can satisfy the
conditions, for any arbitrary triangular faces. And I might even
suspect the solution would be a generalization of inscribing a
circle inside a triangle.
.

Relevant Pages

  • Re: Sphere inside a pyramid
    ... >>> What is the equation of the sphere inside a pyramid of unequal sides such ... It would be like asking what circle fits in an arbitrary rectangle ... > such that each side is a tangent to the circle. ...
    (sci.math)
  • Re: Sphere inside a pyramid
    ... > What is the equation of the sphere inside a pyramid of unequal sides such that each surface of the pyramid is tangent to the sphere? ... Prev by Date: ...
    (sci.math)
  • Sphere inside a pyramid
    ... What is the equation of the sphere inside a pyramid of unequal sides such that each surface of the pyramid is tangent to the sphere? ... Prev by Date: ...
    (sci.math)
Quantcast