Kissing numbers

  • Thread starter jal
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  • #1
jal
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Main Question or Discussion Point

I am looking for info on kissing numbers.
If all the spheres are of one unit then there are 12 spheres in 3d that can kiss the center sphere.
Question:
If the outer spheres are smaller by say 1/4, 1/2 etc. what would be the kissing numbers?
I assume that this has already been done but my search has not found anything.
jal
 

Answers and Replies

  • #2
655
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The reason it works out nice for spheres of equal size is because the dodecahedron has 12 faces. I think the answer is going to be ugly for sphere kissings that don't correspond to platonic solids.
 
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