@inbook{10.2307/j.ctt7rjgk.12,
ISBN = {9780691154565},
URL = {http://www.jstor.org/stable/j.ctt7rjgk.12},
abstract = {This chapter tells an interesting story on how playing with a bicycle wheel can connect to a fundamental theorem from differential geometry. The internal angles in a planar triangle add up to 180°. This fact can be restated in a more general and yet more basic way: if I walk around a closed curve in the plane, then my nose, treated as a vector, will rotate by 2π(provided that I always look straight ahead).¹Does the same hold for an inhabitant of a curved surface? Figure 10.1 shows a triangular path on the sphere. Two of the sides lie},
bookauthor = {MARK LEVI},
booktitle = {The Mathematical Mechanic: Using Physical Reasoning to Solve Problems},
pages = {133--147},
publisher = {Princeton University Press},
title = {A BICYCLE WHEEL AND THE GAUSS-BONNET THEOREM},
year = {2009}
}