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Irregular hexagon drawing

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  • K Offline
    krunge11
    last edited by 29 Sept 2023, 10:42

    Hey!

    This is my first post here. I have been working with SketchUp about 6 years- mostly on hottubes and tubesaunas. Today i find something interesting in my office and now i´m in trouble. I can´t find out how can i draw those hexagons You see on picture. They are irregular (sort off), red sides is same legth and angle (120°), green sides also same length (but not same length as red sides). Same storu with yellow sides- they have same length but not same length as other color sides. Those pieces glued into plywood as tiles and as You can see they fit perfectly side to side and top-bottom. I think i need some mathematical or geometrical knowledge to draw those pieces in SketchUp. I have Trilateration plugin so i can make perfect triangles, but how to do it so they fit as on the picture?

    Any help would be greatly appreciated! Sorry for my english.

    Indrek.


    Margitud.jpg

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    • R Offline
      Rich O Brien Moderator
      last edited by 29 Sept 2023, 14:51

      All internal angles must total 720d.

      But if you know the lengths of each green and red edge can you get the length of the base. If you could then you can work out the angle

      https://i.imgur.com/7iaBZjf.png

      Then use some online tool to calculate the angles...

      Link Preview Image
      Triangle Angle. Calculator | Formula

      How to find the angle of a triangle? What's the sum of angles in a triangle? Check it out with this triangle angle calculator!

      favicon

      Omni Calculator (www.omnicalculator.com)

      https://i.imgur.com/GDuHL4G.png

      A hexagon is a triangle with 3 triangle attached the each edge...

      https://i.imgur.com/nyDo5ZB.png

      There's likely a very simple solution to this but my brain is too smooth to see it yet.

      Download the free D'oh Book for SketchUp

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      • G Offline
        Gus R
        last edited by 29 Sept 2023, 15:30

        Something like this?

        Random-Hexagons-01.jpg

        Random-Hexagons-02.jpg

        www.instagram.com/gusrobatto/

        www.flickr.com/photos/gusrobatto

        https://bsky.app/profile/gus-robatto.bsky.social

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        • G Offline
          Gus R
          last edited by 29 Sept 2023, 16:06

          Get the "Random Tools" extension either from here or using Extension Warehouse in Sketchup.

          I did this flat on the ground or a top view.

          Create a hexagon pattern like this.

          Random Vertex Positions B.jpg

          Select all and click the second icon (Random Vertex Positions) in the Random Tools menu.

          Random-Vertex-Positions-D.jpg

          Apply something like the following setting. You may have to play with it depending on the size and units of your model.

          Random Vertex Positions.jpg

          Results.

          Random Vertex Positions C.jpg

          You should be able to take it from there by adding random texture positions, border elements, etc.

          www.instagram.com/gusrobatto/

          www.flickr.com/photos/gusrobatto

          https://bsky.app/profile/gus-robatto.bsky.social

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          • G Offline
            Gus R
            last edited by 29 Sept 2023, 16:12

            You can dimension them all as needed and send it to your carpenter from there.

            Random-Vertex-Positions-E.jpg

            www.instagram.com/gusrobatto/

            www.flickr.com/photos/gusrobatto

            https://bsky.app/profile/gus-robatto.bsky.social

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            • G Offline
              Gus R
              last edited by 29 Sept 2023, 16:27

              I should mention that the hexagons are simply circles drawn with six (6) sides. If you're not familiar that's done by entering 6S (six "s" as in Sam) in the units field.

              www.instagram.com/gusrobatto/

              www.flickr.com/photos/gusrobatto

              https://bsky.app/profile/gus-robatto.bsky.social

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              • G Offline
                Gus R
                last edited by 29 Sept 2023, 19:15

                Thea Render in Presto with 512 passes.

                Random-Hexagons-2-Scene-A.jpg

                Random-Hexagons-2-Scene-B.jpg

                www.instagram.com/gusrobatto/

                www.flickr.com/photos/gusrobatto

                https://bsky.app/profile/gus-robatto.bsky.social

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                • R Offline
                  Rich O Brien Moderator
                  last edited by 29 Sept 2023, 21:38

                  I thought the original query was that they have this irregular hexagon shape that fits together in a certain pattern?

                  Download the free D'oh Book for SketchUp

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                  • G Offline
                    Gus R
                    last edited by 29 Sept 2023, 22:25

                    @rich o brien said:

                    I thought the original query was that they have this irregular hexagon shape that fits together in a certain pattern?

                    I don't know. 💚

                    www.instagram.com/gusrobatto/

                    www.flickr.com/photos/gusrobatto

                    https://bsky.app/profile/gus-robatto.bsky.social

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                    • U Offline
                      unearthed
                      last edited by unearthed 1 Oct 2023, 02:37

                      I wanted an irregular but repeatable tile recently and ended up using type 4 from here. I wanted to cut shapes from concrete waste, so I wanted a shape with not too tight angles to reduce breakage and simplify handling.

                      Angles amd tile variations here: page 15 https://arxiv.org/pdf/1708.00274.pdf

                      type 4 tile Growplan.JPG the dots are a visual guide for drawings to help place tiles.

                      Growplan - People ∩ Plants ∩ Place

                      windows 7 64b, 4GB RAM, SU 8.0.16846
                      Gimp, QGIS, Vectorworks 12, Bricscad 11

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                      • K Offline
                        krunge11
                        last edited by 2 Oct 2023, 06:05

                        Hey!

                        Thanks for You effort. Maybe i didn´t explain myself very correctly. All those irregular hexagons in tile is exactly the same. But they fit if You take same tile and place it on the side or top. I think i have to try this 3 triangle solution mentioned here. I also find some intresting pages from internet.

                        @rich o brien said:

                        I thought the original query was that they have this irregular hexagon shape that fits together in a certain pattern?

                        Thank You,
                        Indrek


                        Periodic and Non-Periodic Tiling.png


                        Margitud.jpg

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