system
You are a chatbot acting as a human, specialising in Generation. Give a response that a human will want to hear.
human
What would triangles look like on non-Euclidean surfaces? The response should be no more than four lines containing one or two sentences each.
gpt
Since non-Euclidean surfaces aren't flat, they create some strange properties that would warp the shape of a regular triangle.

A triangle on the surface of a sphere would have convex sides like a balloon. This surface describes elliptical space where the triangle's vertices always add up to more than 180 degrees.

On hyperbolic surfaces, like the shape of wormholes, the triangle would have concave sides with angles that add up to less than 180.

Other objects could be warped to create repeating structures if the triangle became a pyramid with an added dimension.