omg
omg
Hey look, an equilateral right triangle!
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Actually, for a right triangle to be equilateral, it could not exist in flat euclidean space. Instead, it would have to be drawn in curved space, such as on a globe.
The bottom of the triangle would go around one quarter of the globe on the equator, and the two other sides would go straight up at right angles to the equator, up lines of longitude, to meet at the north pole.
Also, the total of the angles of each corner would add up to 270, instead of 180 for euclidean triangles. Angles in negatively curves space triangles add up to < 180°. Negatively curved space can be represented by a saddle shaped space.
The bottom of the triangle would go around one quarter of the globe on the equator, and the two other sides would go straight up at right angles to the equator, up lines of longitude, to meet at the north pole.
Also, the total of the angles of each corner would add up to 270, instead of 180 for euclidean triangles. Angles in negatively curves space triangles add up to < 180°. Negatively curved space can be represented by a saddle shaped space.
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