Direct Isometries of the Hyperbolic Plane
Direct Isometries of the Hyperbolic Plane
Create some points, lines, triangles, and circles in the Poincaré disk model for the hyperbolic plane. Choose parameters and to map them by the direct (or orientation-preserving) isometry .
a
φ
z↦(z+a)/(1+z)
iφ
e
a