Math Stars

Features Math Stars

Note that this is a very small app!We all know the 5-pointed golden star that can be drawn with just straight lines without leaving the paper.
In this app you choose how many points your star should have, and how far the lines should be drawn at a time.
Then the app shows what such a star looks like - if it actually has the number of points you wanted it to have.From a mathematical point of view prime numbers and the so-called Greatest Common Divisor (GCD) play important parts whether it is possible to draw the given star in one go or not.
Can you figure out the maths behind it?