Draw a small star at the end of each line of the original star.
Reduce the size of the pattern and draw the basic star at the end of each line of the original:
This is similar to what happens in nature. Water vapor forms into ice crystals where there is a particle of dust or a sharp point of a previous ice crystal.
Of course, the new version of the snow flake has many more sharp points than the original.
What is going to happen at these new sharp points?