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math.AP2025
Napoleonic Constructions in the Hyperbolic Plane
Serena Dipierro, Lyle Noakes, Enrico Valdinoci
In the Euclidean setting, Napoleon's Theorem states that if one constructs an equilateral triangle on either the outside or the inside of each side of a given triangle and then con…
math.AP2024
Napoleonic triangles on the sphere
Serena Dipierro, Lyle Noakes, Enrico Valdinoci
As is well-known, numerical experiments show that Napoleon's Theorem for planar triangles does not extend to a similar statement for triangles on the unit sphere . Spherical t…