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    Method for drawing an antiprism with equilateral sides

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    sketchup
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    • honoluludesktopH Offline
      honoluludesktop
      last edited by

      I think this is a way to do it without calculations, but because sketchup arcs are polygons, its impossible to do a perfectly accurate projection.Temp00.PNGI used a default arc (12 sides), if you did one with (say) 256 sides, you could get closer.

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      • TIGT Offline
        TIG Moderator
        last edited by

        I didn't do calculations either [except for the angle that I added]...
        You'll need a Circle with 1000 sides and then just draw/group/copy/rotate stuff... see the 'Steps' illustration...
        [I removed the illustration here in favor the the 'steps' set - see the next few posts along...]

        TIG

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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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