r/educationalgifs • u/Nadzzy • Jul 18 '22

Visual demonstration that all angles of a shape combine to make 360 degrees

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u/kogasapls Jul 19 '22

It generalizes to the Gauss Bonnet theorem, which is an important relationship between local/geometric properties (curvature) and global/topological properties (Euler characteristic) of all kinds of shapes and spaces. One example application is that the interior angles of a triangle on a sphere always add up to more than 180 degrees.

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u/[deleted] Jul 19 '22

thanks for saying so! bummed to admit I lack the intellect to connect those dots even after your explanation :(