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…
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…
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…
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:…
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?
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…