Re: I'm hear with some geometry... again!
Yeah, Braille 3d diagrams are terrible, because there is no reason for the brain to comprehend perspective in that format.
Visually, it makes a ton of sense, if you think about how the light from the images reach the viewer. Light is usually sufficiently ambient that it will be bouncing around at all the angles, only a small number of which will lead to the eyes. It could be helpful to think of it as taking a cardboard box, then flattening it, though that's not completely accurate.
There are several styles of drawing 3d shapes, depending on how realistic one needs it to appear. Small or narrowly focused images can get away with cabinet projection, which gets weird with lots of depth or parallel surfaces, but is mathematically simple:
x2 = x3 + (z * cos(theta))
y2 = y3 + (z * sin(theta))
Where theta is the viewing angle, usually 30, 45, or 60 degrees (pi/6, pi/4, and pi/3 radians, respectively).
Really, though, things look smaller when they're farther away, so cabinet projection only really works on scales where the depth-scaling is insignificant. Most of what you'd be working with is small enough that depth-scaling is insignificant, I expect.
So, yeah, like squishing a box.
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