We can measure the angle the spot subtends in the night sky — one of the three angles of the triangle. Then we can check whether the combination of side lengths and angle measure is a good fit for ...

Complex hyperbolic geometry studies spaces that combine ... that explore geometric deformations and trace identities in triangle groups [3, 4]. Together, these studies reveal an intricate ...

Hyperbolic space is a Pringle-like alternative to flat, Euclidean geometry where the normal rules don’t apply: angles of a triangle add up to less than 180 degrees and Euclid’s parallel ...

Negative, or hyperbolic curvature is more difficult to imagine ... This lattice is characterised by six-pointed stars (hexagons surrounded by equilateral triangles). “Curved-space versions of this ...

Spherical geometry offers one example — if you draw a triangle on a sphere (like, say, connecting the North Pole to Honolulu to Miami), the angles sum to a number larger than 180. Hyperbolic geometry ...