a = The number of vertices in the polyhedron.
b = The number of edges.
c = The number of faces (sides)
What do you notice now about the Euler Characteristic?
If h is the number of holes in the object, can you make a conjecture about the Euler Characteristic in terms of h? Try objects with more holes to confirm your suspicions!
— Problems like this are extremely important to mathematicians, since they can give intuitions about objects we can't see in our universe.
— Maryam Mirzakhani was one the great mathematicians who worked on the study of geometry of mathematical objects. She was the first woman who received the Fields medal (the world's most prestigious math award) in 2014 for her work on these topics.
— Maryam passed away in 2017 due to cancer at the age of 40 in 2017. Her birthday, May 12, is recognized as Women in Mathematics Day.