What is a relationship of sums of triangles in a negative and positively curved shapes

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What is a relationship of sums of triangles in a negative and positively curved shapes

[From: ] [author: ] [Date: 11-05-22] [Hit: ]

but what is the relationships?-Im not a mathematician but I would think as the size of sphere increases sums add up closer and closer to 180 degrees, and vice verse.In a case of a saddle I think as the size of saddle increases the angles will get closer and closer to 180 degrees and vice verse.I dont know the mathematical formulas, but Im sure there are.......

What are the mathematical relationship of a two dimensional sphere and a two dimensional saddle in terms of the sums of the angle that those two dimensional objects produce?

I know that sums is always over 180 in a sphere and always less than 180 in a saddle, but what is the relationships?

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I'm not a mathematician but I would think as the size of sphere increases sums add up closer and closer to 180 degrees, and vice verse.

In a case of a saddle I think as the size of saddle increases the angles will get closer and closer to 180 degrees and vice verse.

I don't know the mathematical formulas, but I'm sure there are.

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