bonanova Posted July 17, 2009 Report Share Posted July 17, 2009 It's trivial to determine the maximum number of unit squares that can be arranged in such a way that each square shares a portion of an edge with each of the others. So let's up the ante. What is the maximum number of unit cubes that can be arranged in such a way that each cube shares a portion of a surface with each of the others. A common surface need not be an entire face, but it must not be merely a line or a point. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 17, 2009 Report Share Posted July 17, 2009 6? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 17, 2009 Report Share Posted July 17, 2009 6 cubes Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted July 17, 2009 Author Report Share Posted July 17, 2009 6 cubes p_m and DG have it. Scratching my head for a puzzle that will last longer than 8 minutes ... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 17, 2009 Report Share Posted July 17, 2009 Aww darn work got in the way and made me miss this one hehe good puzzle Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 17, 2009 Report Share Posted July 17, 2009 (edited) sorry, misread the OP. Edited July 17, 2009 by peeJ Quote Link to comment Share on other sites More sharing options...
Question
bonanova
It's trivial to determine the maximum number of unit squares that can be arranged
in such a way that each square shares a portion of an edge with each of the others.
So let's up the ante.
What is the maximum number of unit cubes that can be arranged in such a way
that each cube shares a portion of a surface with each of the others. A common
surface need not be an entire face, but it must not be merely a line or a point.
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