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Slicing dice and cutting corners

  1. Oct 12, 2004 #1
    A dice has 6 sides.
    If you cut the corners of a dice you get 6 + 8 = 14 sides.
    If you cut again, the minimum number of sides you get is 6 + 8 + 12.
    If you cut n times, what is the minimum number of sides you get?
  2. jcsd
  3. Oct 12, 2004 #2


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    Perhaps you could try to figure this out for a tetrahedron (a triangular pyramid) first?
    Can you predict how many vertices the resulting shape will have after each cut?
    Does it matter how many edges meet at each vertex?
  4. Oct 16, 2004 #3
    Good idea!
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