A triangle whose interior angles sum to zero

>In spherical geometry, the interior angles of a triangle add up to more than π. And in fact you can determine the area of a spherical triangle by how much the angle sum exceeds π. On a sphere of radius 1, the area equals the triangle excess

To all the flat earthers out there, this property can be used to find out earth is not flat, just by drawing a giant triangle on the surface, without leaving the earth. Historically, to prove the earth is round, people have relied on the sun shining directly overhead on wells in different cities. But this approach proves it without the need to refer the sun.

Spherical geometers: the trolls of the math world

> Note also that the triangle has infinite perimeter but finite area.

How common is this property in geometry? I know that fractals like the Koch Snowflake also have infinite perimeter over finite area, but I don't know what else does.

Girard's Theorem - Spherical Geometry - Deriving The Formula For The Area Of A Spherical Triangle: https://youtu.be/Y8VgvoEx7HY T = r^2 (alpha + beta + gamma - pi)

Triangle Man hates Person Man

> infinite perimeter

I don’t follow, how/why?

That's not a fucking triangle.

(It's Friday night people it's a joke and I have no idea what the article is talking about just looked at the picture)