Take a long rope, tie it to the bottom of the goal post at one end of a football field....
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Hailstone Numbers
Start with any positive integer (an initial seed) and obtain a sequence of numbers by following these rules. 1. If the...
Continue reading...Fractional Dimensions
A point has dimension 0, a line has dimension 1, and a plane has dimension 2. But did you know...
Continue reading...Social Choice and the Condorcet Paradox
How should one select the winner of an election? If there are only two candidates, the answer is clear— choose the...
Continue reading...Shortest Pythagorean Proof?
Here is one of the shortest proofs of the Pythagorean Theorem. Suppose we are given any right triangle with sides of...
Continue reading...Four Fours Problem
Here’s a challenge that you may wish to try: can you express all the numbers from 1 to 100 using...
Continue reading...Regular Solids
A regular polygon is a polygon whose angles are equal and side lengths are equal. A 3-D polyhedron is said to be regular if all its faces are...
Continue reading...Scrabble Identity
Question: What positive integer, when spelled out, has a Scrabble score equal to that integer? Answer: see Figure 1. How...
Continue reading...Divisibility by Seven
Everyone learns in grade school some simple tests for divisibility by small numbers such as 2, 3, 5, and 9....
Continue reading...Zero to the Zero Power
It is commonly taught that any number to the zero power is 1, and zero to any power is 0....
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