Complexified Pseudosphere
Complexified Pseudosphere
The parametrized surface is called a pseudosphere. This Demonstration plots a linear combination of the real and imaginary parts of (ϑ,φ), where (ϑ,φ)=r(αϑ+β,γφ+δ), where .
r(ϑ,φ)={x,y,z}=Re({ϑ-tanh(ϑ),cos(φ)sech(ϑ),sin(φ)sech(ϑ)})
r
r
α,β,γ,δ∈