###### Math

## The envelope of chords in a polygon

The envelope of chords in a circle has different pattern. By changing the circle to a polygon, we can have another version of envelope.

The envelope of chords in a circle has different pattern. By changing the circle to a polygon, we can have another version of envelope.

The envelope of chords in a circle, cardioid (k=2), nephroid (k=3) and other graphs from k = 1 to 129. This page shows 128 different chords patten in total.

There’s an fixed relationship between sin(x-y), sin(x) and sin(x+y). We can define a sequence from this. Moreover, we can draw some interesting figures.