in reply to Re^4: (OT) moving points from one plane to another
in thread (OT) moving points from one plane to another

I have just tried both cases my creating planes from each set of co-ordinates given.
Interestingly the first case worked fine by rotating points about the x-axis.
The second case failed (and was trapped) since these planes are parallel.
  • Comment on Re^5: (OT) moving points from one plane to another

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Re^6: (OT) moving points from one plane to another
by tilly (Archbishop) on Jul 10, 2009 at 16:09 UTC
    Please define "worked fine". Did the 3 specified starting points actually go to the 3 specified target points? If not, then I don't think you've solved your stated problem.

    For the first example, if you rotate about the x-axis, then all points on the x-axis have to go back to the x-axis. But in the specification I gave for that example (1, 0, 0) which starts on the x-axis is supposed to wind up at (0, 0, 1) on the z-axis. So you can't possibly do that by rotating around the x-axis.

[reply]
      Thanks for your continued interest.
      I was a bit overstating the result!
      what I meant was, the points had been rotated to the correct plane.
      I do have to position them correctly in that plane.
      However, as I know how to do this it is not a problem for me.
[reply]
        Yes, that approach will put the points in the correct plane. However the approach that I suggested puts the points in the correct plane, and in the correct position, in one step. Better yet, it works even if the planes are parallel. And its higher dimensional analogs work in any number of dimensions.
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