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Kissing numbers

  1. May 14, 2008 #1


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    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.
    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.
  2. jcsd
  3. May 14, 2008 #2
    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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