Spherical packing of a tetrahedon

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If I put four spheres together to form a tetrahedon, what is the largest sphere that would fit in the interstitial site between them?
 

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OlderDan
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openminded said:
If I put four spheres together to form a tetrahedon, what is the largest sphere that would fit in the interstitial site between them?
What are your thoughts about how to approach this problem? Can you describe the location of the center of the interstitial sphere in relation to the centers of the other four spheres?

https://www.physicsforums.com/showthread.php?t=4825
 

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