The unit circle can be parametrized by (cos w, sin w). Given a point on it, the region cut out...
Continue reading...geometry
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...Football Field
Take a long rope, tie it to the bottom of the goal post at one end of a football field....
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...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...
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...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...Morley’s Theorem
Take any triangle. Mark the 3 points which are the intersections of adjacent angle trisectors. No matter what triangle you...
Continue reading...Nine Point Circle
Draw a triangle, any triangle (although it may be best to start with an acute triangle). I will instruct you...
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