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    ⚠️ Important | Libfredo 15.6b introduces important bugfixes for Fredo's Extensions Update

    Elusive angle in a few pencils

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    • TIGT Offline
      TIG Moderator
      last edited by

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

      TIG

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      • BoxB Online
        Box
        last edited by

        Tig, subtract 19.27 from 90. πŸ˜„

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        • TIGT Offline
          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 Online
            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 Offline
              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 Online
                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 Offline
                    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 Online
                      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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