Mathematical XYZ ? 2004-02-26 - By Kris Krieger
Back At 01:11 AM 26-02-04, RorrKonn wrote: >In the Math world they have Rules for every thing. >The rules change depending what Mode ya in but there Rules none the same. > >So there has to be a Mathematical XYZ Rule of where >xyz ? is up and Down. >xyz ? is left to right. >xyz ? is front back.
Z is Up/Down. In 2D geometry, X is to the right/left, Y is vertical, but in 3D, X and Y are perpindicular to each other and they both are perpendicular to Z. I don't know of any definition that correlates "Front/Back" or "Left/Right", but that doesn't mean one doesn't exist. If I was describing sometyhing to someone, I'd define X to be "Left/Right", but that's jsut a leftover from 2D geometry and I have no idea whether it's a definition or even accepted convention, rathr than just my own habit. IOW, I always thought that 2D geometry is basically "looking down the Z axis" at the plane bisected by X and Y, ergo, when I think of 3D, I perceive of myself as simply changing position along the imaginary plane created by Z and Y, which is why I think of X as being left/right (or side to side).
HTH
> >What Mode is 3D ? >Anyone know why every 3D App uses a deferent XYZ's ?
I haven't worked with that many, but my guess would be that either it's a matter of viewpoint (since X and Y are not necessarily designated as Front or Side). XFrog seems to present the thing as I described above. I've tried a little bit of Carrera and LW5, and either a littler bit of Rhino (which I couldn't make head nor tail of), but all I noted was that the first two have Z as vertical and I can't remember whetehr they had X as "side to side" or not.
Come to think of it, I have to check tS but I'm trying to render a scene right now - doesn't tS set X as being "front/back"...? It might because I keep getting screwed up with the axes of objects.
As for the reason, my guess (just a guess) is that 3D apps are not designed or written by mathemeticians. The people who write them seem to all agree that Z is "Up/Down", from what (admittedly little) I've seen, but the X and Y thing seems to be a point of disagreement.
HTH
- Kris
- Kris M. Krieger http://www.pterochromics.com
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