in reply to Naming ordinals (directions/sides/faces) in the presence of 3D rotation?

Your description brought to mind a numbered cube. I would name each variable numerically as a set of parallel planes (e.g. left/right = #1/#3, front/back = 2#/#4, top/bottom = #5/#6), like a die. Thus, roll the die, if var planes1_3 becomes oriented such that it now represents the front/back, I can visualize either var planes2_4 or var planes5_6 as the new left/right.

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Re^2: Naming ordinals (directions/sides/faces) in the presence of 3D rotation?
by BrowserUk (Patriarch) on Apr 27, 2015 at 19:50 UTC

    Okay. So the view you have is:

    
  +-------+
  | o   o |
  |   o   |
  | o   o |
  +-------+

    [download]

    What number face is point right as you observe it?

    In general, substituting numbers/colours/directions/points of the compass doesn't change the problem.

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[d/l]

      Well, if I knew the initial layout prior to the applied rotation (e.g. left/right = #1/#3, front/back = #2/#4, top/bottom = #5/#6), then seeing #5 I could reason that the right frame is #3. But, mmm, it's not that easy is it?

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