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    Elusive angle in a few pencils

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    • BoxB Offline
      Box
      last edited by

      The mathematics escapes me at the moment, but I'm pretty sure the angle you need is 70deg.

      Edit: Come to think of it, I suspect it's going to be something like 70.333333333333 Deg

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      • TIGT Online
        TIG Moderator
        last edited by

        It's nearer 19.27...3HexPencils.PNG3HexPencils.skp

        TIG

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        • BoxB Offline
          Box
          last edited by

          Tig, subtract 19.27 from 90. πŸ˜„

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          • TIGT Online
            TIG Moderator
            last edited by

            @box said:

            Tig, subtract 19.27 from 90. πŸ˜„

            I know! πŸ˜‰ BUT ~19.27 IS much better that ~20.00... πŸ˜’

            TIG

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            • BoxB Offline
              Box
              last edited by

              True, but that's why I edited my post above and said 70.33333 deg.
              It struck me that 19 was too little and 20 was too much so it had to be one third of one deg which is usually .333333 recurring.

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              • TIGT Online
                TIG Moderator
                last edited by

                @box said:

                True, but that's why I edited my post above and said 70.33333 deg.
                It struck me that 19 was too little and 20 was too much so it had to be one third of one deg which is usually .333333 recurring.

                I posted without reading your updated post...
                No offense intended πŸ˜‰

                TIG

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                • BoxB Offline
                  Box
                  last edited by

                  None taken Tig, it's just one of those mathematic annoyances.
                  We were looking at it from different perspectives, me from the vertical and you the horizontal.

                  Either way I think the correct answer to jim4366's question is, in reality it's not possible to get all the connecting surfaces to be coplanar, even rotating all three, the original by .333333333333333deg (while connected to the next leg) and the other two by 70.333333333333333333 from the vertical or 19.333333333333333 from the horizontal, will still leave a none coplanar connection, albeit infinitesimal.

                  I imagine writing a plugin to do it would be annoying.

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                  • Wo3DanW Offline
                    Wo3Dan
                    last edited by

                    @tig said:

                    @box said:

                    Tig, subtract 19.27 from 90. πŸ˜„

                    I know! πŸ˜‰ BUT ~19.27 IS much better that ~20.00... πŸ˜’

                    I wonder where that came from.

                    arccos{ sqrt[ (3^2) - (1^2) ] /3 } = 19.47....degrees

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                    • TIGT Online
                      TIG Moderator
                      last edited by

                      I this is the definitive trig ?
                      Or of course sin(1/3)=19.471221


                      HexGeom.PNG

                      TIG

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                      • BoxB Offline
                        Box
                        last edited by

                        The mathematics is beyond my skill level, I still count by stamping my foot.

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                        • jason_marantoJ Offline
                          jason_maranto
                          last edited by

                          @box said:

                          The mathematics is beyond my skill level, I still count by stamping my foot.

                          +1 πŸ˜†

                          One of these days I'm going to have to dive into trig -- it seems alot of things I would like to be able to do rely on trig...

                          Best,
                          Jason.

                          I create video tutorial series about several 2D & 3D graphics programs.

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