Tag Archives: optimization

Bouncing in a U-Shaped Gallery

Posted on September 29, 2012 by

Consider the U-shaped hallway illustrated above. All angles are right angles and the numbers indicate the lengths of various walls. The figure is not drawn to scale. The problem is to send a point sized billiard ball located at the … Continue reading →

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Two Lady Bug Path Problems

Posted on September 7, 2012 by

The other day, I noticed a bunch of lady bugs walking in the grooves of a tiled floor.

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Greedy Clams – Solution

Posted on November 6, 2011 by

Here’s a solution to the Greedy Clam problem that was inspired by Luyi’s “Satiated Clam” geometry problem.

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Greedy Clams

Posted on November 2, 2011 by

Here’s a problem inspired by Luyi’s “Satiated Clam” problem.  (Her problem makes me think of a clam with the biggest possible pearl inside.) The problem begins with the same setup as hers. Let ABCDEF and ABC’D’E’F’ be two regular hexagons with unit … Continue reading →

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