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If a point equally distant of the vertices of a regular tetrahedron, does this mean it is the center of the sphere circumscribed in that tetrahedron?

Hope one of you can help me! Thank you!

IONELA BUCIU
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  • Yes.................. – D S Feb 15 '24 at 16:18
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    for calculations: place the vertices at half the corners of a cube around the origin, $(1,1,1); (1,-1,-1); (-1,1,-1); (-1,-1,1)$ where the pairwise distance (edge length) is $2 \sqrt 2$ this way. – Will Jagy Feb 15 '24 at 16:34
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    Create spheres centered around each vertex. If the only intersection point of all 4 spheres is the center of the tetrahedron's circumsphere, then yes. – Nate Feb 16 '24 at 03:41

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