http://blog.wolfram.com/2008/10/10/russell-towle-1949-2008/ News, views, & ideas from the front lines at Wolfram Research Fri, 10 Feb 2012 12:21:10 -0600 http://wordpress.org/?v=2.8.4 hourly 1 http://blog.wolfram.com/2008/10/10/russell-towle-1949-2008/comment-page-1/#comment-1557 Michael Thu, 01 Apr 2010 16:36:27 +0000 http://blog.wolfram.com/2008/10/10/russell-towle-1949-2008/#comment-1557 It would be interesting to generalize these designs in order to find a mathematical formula governing all the possible combinations of geometrical shapes given a bounded region. For example having a formula to show hexagons alone will form a sphere (soccer ball); bricks and half-bricks can be laid in a herringbone pattern to fill a rectangular space, etc. Is there any relationship Towle every found linking all of his designs? It would be interesting to generalize these designs in order to find a mathematical formula governing all the possible combinations of geometrical shapes given a bounded region. For example having a formula to show hexagons alone will form a sphere (soccer ball); bricks and half-bricks can be laid in a herringbone pattern to fill a rectangular space, etc.
Is there any relationship Towle every found linking all of his designs?

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