Monthly Archives: July 2013

Riding a Bicycle

Imagine riding a bike round from position A back to position A so that both wheels traverse closed paths. Further, the front wheel never crosses the rear track. Thus the front wheel traces an outer closed curve while the inner

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Dissecting a Square

Given a square (on a 2 dimensional plane, of course), dissect it into n square pieces. The pieces can be of different sizes. n > 5. There are several ways to do this, but there is a simple procedure that

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Points in a Plane

Each point of a plane is colored one of three colors – Red, Green, or Blue. Prove that there is at least one pair of points that are a unit distance apart and both points have the same color. Warning:

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002 What is wrong with this picture?

This is a picture of a poster that hangs on the wall of a well-known builder. The artists may have their own reasons, but an engineer or scientist would find something wrong here. What could that be?

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001 Blind King And Queen

You might have heard of blindfold chess, but what would it be like to play a game where positions of the opponent’s pieces are not known at all? Here is a minimalistic game  played on a 1 x n board

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