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a sphere inscribed in tetrahedron

Question asked by Jerome De San Nicolás on Aug 8, 2019
Latest reply on Aug 8, 2019 by Taylor Duran

Hi guys,

I got a riddle given by a friend.

 

How can I model a sphere inscribed in tetrahedron (i.e. a sphere tangent to all the faces) ? of course this have to be parametric (the goal is to find a "rule of thumb" for a relation between the volume of the tetrahedron and the radius of the sphere.)

 

At first I was like, "Ez", but one the tetrahedron made, I can't do the sphere.... I have try with a 3d sketch but it's was a failure.

 

 

 

How do you guys will do this kind of stuff ?

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