Recent content by andrewvecsey

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    Graduate Formula for side ratio between truncated tetrahedron and enclosed tetrahedron

    Thanks for the great help Helios. I used the radius of the circumsphere for the tetrahedrons instead of their exsphere radius to calculate the proportions which was the key to solving this problem. The radius of the circumsphere for a tetrahedral (a circumscribed sphere of a polyhedron is a...
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    Graduate Formula for side ratio between truncated tetrahedron and enclosed tetrahedron

    OK. Now I have a "new big tetrahedral with side "3a" that encloses my "original truncated tetrahedral with side "a". Question1: How do I find the proportion between the 3a edge of this new big tetrahedron and the center to vertex length. Question2: Which vertex do you mean? The vertex if the...
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    Graduate Formula for side ratio between truncated tetrahedron and enclosed tetrahedron

    What is the mathematical formula to calculate "a" for a given "b" in the picture below of a tetrahedron with sides "b" inside of a truncated tetrahedron with sides "a". I think that this is a more challenging problem that what it appears to be.