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    Method for drawing an antiprism with equilateral sides

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    sketchup
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    • S Offline
      sketchup_roolz
      last edited by

      Thanks for the detailed reply Tig. ๐Ÿค“

      Unfortunately I'm having trouble figuring out the proper sequence of steps to follow your instructions. ๐Ÿ˜ณ

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      • S Offline
        sketchup_roolz
        last edited by

        Hey what happened to all those steps you wrote out Tig? ๐Ÿ˜‰

        Anyway I guess the circle approximation is the best we can do...

        Thanks everyone

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        • TIGT Offline
          TIG Moderator
          last edited by

          Here's an improved version of the StepsantiprismSteps.PNG
          It works for any size 'cube'...

          TIG

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          • D Offline
            dedmin
            last edited by

            TIG - This Is Google

            ๐ŸŽ‰ ๐ŸŽ‰ ๐ŸŽ‰

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            • TIGT Offline
              TIG Moderator
              last edited by

              Much easier ๐Ÿ˜’antiprism2d.PNG

              TIG

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              • S Offline
                sketchup_roolz
                last edited by

                Thanks Tig. You're a genius. ๐Ÿ˜Ž

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                • S Offline
                  sketchup_roolz
                  last edited by

                  woops! ๐Ÿ˜ณ

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                  • TIGT Offline
                    TIG Moderator
                    last edited by

                    @sketchup_roolz said:

                    Not that anyone cares anymore but here's a my proper 2D method...
                    http://img573.imageshack.us/img573/272/68861221.png

                    I fixed your faulty link...
                    An interesting alternative approach... ๐Ÿ˜„
                    I am thinking how it might get converted to an 'algorithm'...
                    Which must be possible as it involves 45/30/15 degree triangles with known side length...
                    Sleeping on it now... ๐Ÿ˜‰

                    TIG

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                    • S Offline
                      sketchup_roolz
                      last edited by

                      Not that anyone cares anymore but here's a my proper 2D method...

                      http://img573.imageshack.us/img573/272/68861221.png

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                      • S Offline
                        sketchup_roolz
                        last edited by

                        Very clever Jeff. ๐Ÿค“

                        Much appreciation for all the hard work here.
                        I don't really have a practical need to get this level of precision/accuracy but problems like this totally consume me.
                        I figured the faster I could figure it out it the sooner I could move on to more important things! (or not)

                        SketchUp is an amazing piece of software and maybe one day I'll have a more concrete use for it. ๐Ÿ’š

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                        • pilouP Offline
                          pilou
                          last edited by

                          Why anybody save the SKP file "save as SU6"?
                          Like this anybody can reload easily any file! ๐Ÿ˜„

                          Frenchy Pilou
                          Is beautiful that please without concept!
                          My Little site :)

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                          • pilouP Offline
                            pilou
                            last edited by

                            PS :How many triangles must have the polyedra?
                            On the first post there are 8 on "the plan"
                            On the Xray Tig volume there are 7 ! ๐Ÿ˜ฎ

                            @unknownuser said:

                            Won't the file lose some of its v7, and v8 features. Did v6 have "dynamic components", etc.?

                            there are rarelly dynamic component in "hard geometry" like in this post or exotic functions ๐Ÿ˜„

                            Frenchy Pilou
                            Is beautiful that please without concept!
                            My Little site :)

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                            • honoluludesktopH Offline
                              honoluludesktop
                              last edited by

                              @unknownuser said:

                              Why anybody save the SKP file "save as SU6"?
                              Like this anybody can reload easily any file! ๐Ÿ™‚

                              Won't the file lose some of its v7, and v8 features. Did v6 have "dynamic components", etc.?

                              Btw, am I sticking my foot in my mouth? I didn't read all of the posts.

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                              • jeff hammondJ Offline
                                jeff hammond
                                last edited by

                                @unknownuser said:

                                Why anybody save the SKP file "save as SU6"?
                                Like this anybody can reload easily any file! ๐Ÿ˜„

                                oops, i try to remember to do this prior to uploading at scf but i just forget sometimes ๐Ÿ˜„
                                i added a v6 file to my earlier post

                                dotdotdot

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                                • honoluludesktopH Offline
                                  honoluludesktop
                                  last edited by

                                  ???????????

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                                  • honoluludesktopH Offline
                                    honoluludesktop
                                    last edited by

                                    ???????????

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                                    • jeff hammondJ Offline
                                      jeff hammond
                                      last edited by

                                      here's another solution that allows rotating without the mega-segment arc..


                                      antiprism.skp


                                      same file.. saved as su6

                                      dotdotdot

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                                      • jeff hammondJ Offline
                                        jeff hammond
                                        last edited by

                                        @unknownuser said:

                                        PS :How many triangles must have the polyedra?
                                        On the first post there are 8 on "the plan"
                                        On the Xray Tig volume there are 7 ! ๐Ÿ˜ฎ

                                        i don't think it matters.. here's an example using octagons with one of them rotated 22.5 degrees then using the same exact method i used for the squares.. resulting in 16 equal sides. (i think the people trying it though are using the wiki example which has 7 sides.)

                                        edit -- lol. the wiki one, the one i drew, the one tig drew..etc have 8 sides hah ๐Ÿ˜ณ

                                        octo.jpg

                                        dotdotdot

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                                        • TIGT Offline
                                          TIG Moderator
                                          last edited by

                                          @unknownuser said:

                                          PS :How many triangles must have the polyhedron?
                                          On the first post there are 8 on "the plan"
                                          On the Xray TIG volume there are 7 ! ๐Ÿ˜ฎ

                                          @unknownuser said:

                                          Won't the file lose some of its v7, and v8 features. Did v6 have "dynamic components", etc.?

                                          there are rarely dynamic component in "hard geometry" like in this post or exotic functions ๐Ÿ˜„

                                          In my Xray volume there are 8 triangles BUT the left-hand-most one is almost square to the camera ๐Ÿ˜’
                                          A very neat solution by Jeff BTW... ๐Ÿ˜„

                                          TIG

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                                          • TIGT Offline
                                            TIG Moderator
                                            last edited by

                                            If you think about it... as you increase the number of sides for the top and bottom faces the nearer they approximate the circles and the smaller the sides of the equilateral triangles forming the side facets so the 'height' decreases until with thousands of sides the top and bottom are approaching coplanarity...
                                            The simplest form has equilateral triangular faces, the next squares and so on.
                                            there are always twice as many sides as the edges to the faces: so the triangle solution has 3x2=6 sides, the square 4x2=8 sides and so on...

                                            TIG

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