Create a triangle with specific angles in Hyperbolic space, eg., Upper Halfspace Plane

asked 2024-03-11 15:19:53 +0200

Rowing0914 gravatar image

I'm trying to create a triangle in hyperbolic space, specifically in the Upper Halfspace Plane, using SageMath. I would like to specify the angles of the triangle and generate its corresponding geometric representation.

Could anyone provide guidance on how to achieve this using SageMath? Any example code or resources would be greatly appreciated. Thank you!


rotations = [pi / 3, pi / 3, pi / 4]
base_point = CC(0.5 + 0.5 * I)
pts = [base_point]
_z = base_point
for _phi in rotations:
    _z = e ^ (I * _phi) * _z

P = Graphics()
g = hyperbolic_polygon(pts=pts, model="PD", fill=True)
P += g.plot()
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Rowing0914 gravatar imageRowing0914 ( 2024-03-11 15:21:01 +0200 )edit