In Koch Snowflake we saw an interesting fractal snowflake-like object that is obtained when gluing smaller triangles iteratively to the sides of...
Continue reading...triangles
Spherical Pythagorean Theorem
Did you know there is a version of the Pythagorean Theorem for right triangles on spheres? First, let’s define precisely what we...
Continue reading...Sperner’s Lemma
Divide a triangle T into lots of baby triangles, so that baby triangles only meet at a common edge or a common...
Continue reading...Spherical Geometry
Remember high school geometry? The sum of the angles of a planar triangle is always 180 degrees or Pi radians. However, triangles...
Continue reading...Behold! the Pythagorean Theorem
Figure 1 shows one of the simplest proofs of the Pythagorean Theorem. It is also perhaps the earliest recorded proof, known...
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...Shortest Pythagorean Proof?
Here is one of the shortest proofs of the Pythagorean Theorem. Suppose we are given any right triangle with sides of...
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