Orbiting planets - "Pentagram of Venus"

After seeing a questionable (at the time) diagram showing the five petal flower pattern created between Venus and Earth's orbits around the sun, I decided to recreate it and verify the pattern for myself. It would be later that I learned that an 'n' petal pattern emerges based on the following numbers of a fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, ...etc

For example: for every 13 orbits Venus does around the sun, Earth orbits 8 times. The numbers 13 and 8 are after the number 5, resulting in a 5 petal pattern:

1, 1, 2, 3, 5, 8, 13, 21, 34

For two planets, orbit ratios 5 and 8 yield a 3 petal pattern:

1, 1, 2, 3, 5, 8, 13, 21, 34

While a ratio of 21 and 34 yield a 13 petal pattern:

1, 1, 2, 3, 5, 8, 13, 21, 34

The pattern is also mentioned here. Can also note that the pattern in the wiki page is drawn by using a point on the middle of the line between the planets as the 'pen' rather then plotting the line itself.

Later, I added a ui i to make it easier to experiment with multiple planets with any number of orbit ratios.