The unit circle can be parametrized by (cos w, sin w). Given a point on it, the region cut out...
Continue reading...easy
tamreF’s Last Theorem
Here’s an amusing theorem that is very easy to prove, which we’ll call tamreF’s Last Theorem. In fact it is tamreF’s...
Continue reading...Hugging the Equator
Suppose that you have a rope around the equator of a basketball. How much longer would you have to make...
Continue reading...Gaps in Primes
We know there are infinitely many primes, so are many interesting questions you can ask about the distribution of primes, i.e., how...
Continue reading...Football Field
Take a long rope, tie it to the bottom of the goal post at one end of a football field....
Continue reading...Repeating Digits
You already know that the decimal expansion of a rational number eventually repeats or terminates (which can be viewed as a repeating...
Continue reading...Napoleon’s Theorem
Take any generic triangle, and construct equilateral triangles on each side whose side lengths are the same as the length...
Continue reading...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...Euler’s Formula
The five most important numbers in mathematics all appear in a single equation!ei*Pi + 1 = 0.In fact, this is a...
Continue reading...Fractional Dimensions
A point has dimension 0, a line has dimension 1, and a plane has dimension 2. But did you know...
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