Spinning Kite on desmos.com

.See the graph here:

https://www.desmos.com/calculator/p0kmep6r3s

Variables

I was working in radians so I used π but you can set the range to 360 and change π/2 to 90.

Functions

1. Blue triangles

\(\operatorname{polygon}\left(\left(1,\cos a\right),\left(2,\sin b\right),\left(2,-\sin b\right),\left(3,\sin a\right)\right)\)

2. Orange triangle

\(\operatorname{polygon}\left(\left(1,\sin b\right),\left(2,-\sin b\right),\left(2,\sin b\right),\left(3,\sin a\right)\right)\)

3. Red triangle

\(\operatorname{polygon}\left(\left(2,\sin b\right),\left(3,\sin a\right),\left(2,-\sin b\right)\right)\)

4. Black string (the repeated coordinates in reverse order are to create a line)

   \(\operatorname{polygon}\left(\left(1,\sin b\right),\left(0.5,\sin b+\frac{1}{10}\sin a\right),\left(0,\sin b+\frac{2}{10}\sin a\right),\left(-0.5,\sin b+\frac{4}{10}\sin a\right),\left(-1,\sin b+\frac{7}{10}\sin a\right),\left(-0.5,\sin b+\frac{4}{10}\sin a\right),\left(0,\sin b+\frac{2}{10}\sin a\right),\left(0.5,\sin b+\frac{1}{10}\sin a\right),\left(1,\sin b\right)\right)\)

5. Red decoration thing

   \(\operatorname{polygon}\left(\left(2,\sin b\right),\left(1.5,\sin b+\frac{1}{2}\sin a\right),\left(1.25,\sin b+\frac{2}{3}\sin a\right)\right)\left\{\sin b+2>\sin a>0\right\}\)

6. Blue decoration thing

   \(\operatorname{polygon}\left(\left(2,-\sin b\right),\left(1.5,-\sin b-\frac{1}{2}\sin a\right),\left(1.25,-\sin b-\frac{2}{3}\sin a\right)\right)\)