Spheres are examples of surfaces with positive curvature. Negative curvature (where the angles of a triangle add up to less than 180 degrees) is represented by this saddle shape:
knightly the Sneptaur
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Cake day: July 5th, 2023
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3·22 days agoI played Vanu for a while, but live service games just rub the wtong way lately.
Yup! That saddle is a shape of constant negative curvature. On a toroid, the inside of the hole would have negative curvature and the outside would have positive curvature.