I'm interested in illustrating a hyperbolic plane for a report I'm writing. Here's the metric that I'm using:
$$ds^2=dr^2+\sqrt{\lvert k\rvert}^{-1}\sinh\left(r\sqrt{\lvert k\rvert}\right)\left( d\theta^2+\sin^2\theta\space d\phi^2 \right)$$
And I'd like it to look like this:
Marco's answer below is a good start:
Plot3D[Sinh[x] Sinh[y], {x, y} \[Element] Disk[], BoxRatios -> {1, 1, 1}, Boxed -> False, Axes -> False]
I'd like to do basically this, but using radial coordinates (like in the picture).
Plot3D[Sinh[x] Sinh[y], {x, y} \[Element] Disk[], BoxRatios -> {1, 1, 1}, Boxed -> False, Axes -> False]
plus appropriate formatting modifications. $\endgroup$FrenetSerretSystem
function. $\endgroup$MeshFunctions -> {Norm[{#1, #2}] &, ArcTan[#1, #2] &}
. Give me a ping if the question gets reopened and I'll write a proper answer. $\endgroup$