In triangle ABC with:
BC = 1;
angle B=45 degrees;
D is on AB such that DC =1;
E and H are on segment AC and EH = 1;
F is on segment AD such that EF=.5;
G is on segment CD;
EFGH is a rectangle.

Find angle A

http://www.stetson.edu/%7Eefriedma/mathmagic/1105/p1-4p.gif

http://www.stetson.edu/%7Eefriedma/mathmagic/1105.html

It appears to take 48 squares to have each touching exactly 4 others at one point.

I wondered why less than 48 could not be arranged this way.  The solution to this problem (the radial angle is what this problem finds the upper limit of)

 

 

Posted by Jer on 2006-01-19 07:39:25