Qustion about 3D

[Tevin Chung from South Korea]

What is the best way to represent 3D in 2D?

There is a lot of ways to daw 3D in 2D and which one is the best?

[Soupspoon]

What is the best way to represent 3D in 2D?

There is a lot of ways to daw 3D in 2D and which one is the best?

(Decided to include quote, as this might end up being transferred to a "loads if little questions" thread (in coding), as with the ATP one kin Science), etc.. )

What are you wanting to represent? One/two/three-point perspectives have their own interesting features, isometric projection can be technically good, other obliques have their own uses, whilst front/top/side views (in US or UK formats, i.e. whether you 'rotate' the object above or below the paper) with the fourth quarter an optional perspective/isometric/oblique overview (or indeed any free-camera version, with the same decision tree as before) is good for conveying maximum information, at the expense of making the space for the details smaller.

But, with computing power behind the visualisation (without having to work it all out with set-square and rulers), camera-style perspective can be done with a 3x3 or 4x4 matrix transform of (modelled) x, y, z onto (displayed) x, y (and optional depth-of-field effects that one might want to apply).

[Flumble]

(x' = y' = 0 is trivial, so I'll assume it's not considered)
x' = tanh(x+1)*y*z+1.37+(x+z)*ln(1+x^2+y^2+z^2)
y' = tanh(x)*z-cos(z+x)*y

I dare you to give a better projection.

[Demki]

(x' = y' = 0 is trivial, so I'll assume it's not considered)
x' = tanh(x+1)*y*z+1.37+(x+z)*ln(1+x^2+y^2+z^2)
y' = tanh(x)*z-cos(z+x)*y

I dare you to give a better projection.

Please show how this projects the Utah teapot