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Kissing numbers

  1. May 14, 2008 #1

    jal

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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.
    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
     
  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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