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It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.
Difficulty: 3 of 5 Latest: Dots in a Cube
Let there be a cube with edge length of 9 units. Inside this cube there are 1981 points.
1. Prove that among these points there are at least 2 with the distance between them of less than 1 unit.
2. What's the biggest number of points that do not have the property stated at (1)?
2.1. How many points for the distance of 2 - 8 units?

(No Solution Yet, 2 Comments) Submitted on 2010-01-27 by TheKPAXian   
Page 1 of 21   next >>    
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