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Why triangles break the 180-degree rule

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Standard geometry forces the inner angles of a triangle to add up to exactly 180 degrees. But bend the surface into a saddle or a bowl, and all those rigid rules instantly disintegrate. Angles bloat, parallel lines collide or violently curve away from each other, and standard measurements become meaningless chaotic suggestions on a warped grid.

Why triangles break the 180-degree rule
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