Hi everyone,
for a thesis I am trying to draw a 3D torus to visualize some trajectories on there. I am trying to achieve something similar-looking as the peeps over on the Tex side did here: tex.stackexchange
So far I have a working prototype:
#let torus(θ, φ) = (
(R + r * calc.cos(φ)) * calc.cos(θ),
(R + r * calc.cos(φ)) * calc.sin(θ),
r * calc.sin(φ),
)
#cz.canvas({
import cz.draw: *
ortho(x: 70deg, y: 0deg, sorted: true, {
// “longitude” rings (constant θ)
for i in range(0, n_major) {
let θ = i * 2 * calc.pi / n_major
let pts = (range(0, n_samples + 1)).map(j => {
let φ = j * 2* calc.pi / n_samples
torus(θ, φ)
})
line(..pts, close: true)
}
// “latitude” rings (constant φ)
for k in range(0, n_minor) {
let φ = k * 2 * calc.pi / n_minor
let pts = (range(0, n_samples + 1)).map(j => {
let θ = j * 2 * calc.pi / n_samples
torus(θ, φ)
})
line(..pts, close: true)
}
})
})
This achieves the look of a wire-frame torus, but it is not quite the look I am trying to get. It is a bit straining to look at. I would love to see as few lines as possible, i.e. mainly just the silhouette with some extra “shading” lines that make it clear it is a torus (see above link for references).
Does anybode here have some ideas of how I could achieve the desired look? I would be grateful for any input!
Thank you!
