Polyhedral Waltz

Here is a new video Polyhedral Waltz.  I made the animation, and Maurice Page composed the music.   The video shows how Platonic Solids (regular polyhedra) inscribed in the same sphere fit together. If you click on the “cc” button … Read More

Farey Fraction Visual Patterns

The Farey Sequence, \(F_{n}\) is the list of all simplified fractions between \(\dfrac{0}{1}\) and \(\dfrac{1}{1}\) with denominator less than or equal to \(n\). For example,   \( \large F_{5}=\dfrac{0}{1},\dfrac{1}{5},\dfrac{1}{4},\dfrac{1}{3},\dfrac{2}{5},\dfrac{1}{2},\dfrac{3}{5},\dfrac{2}{3},\dfrac{3}{4},\dfrac{4}{5},\dfrac{1}{1}\)