Here's a deep question: When we draw a star, why do we draw it with points, even when we know spheres don't have points? It's a question I hadn't thought to ask, and the answer frankly surprised me; the super-short version is that we see them as pointy, due to various optical properties. Set aside three minutes for Minute Physics to explain:
Minute Physics also points to this research paper (PDF) entitled Shape of stars and optical quality of the human eye, which is full of interesting illustrations. Note: please do not shine lasers into your eyes in order to test this; squinting is acceptable. Thank you.