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    An exercise: DRAWING A PARISIAN FENCE

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    • simon le bonS Offline
      simon le bon
      last edited by

      Here is my slow method ๐Ÿ˜•


      http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_002_th.jpg


      http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_003_th.jpg


      http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_004_th.jpg


      http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_005_th.jpg


      http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_006_th.jpg


      http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_007_th.jpg

      ๐Ÿ˜„ simon

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      • simon le bonS Offline
        simon le bon
        last edited by

        Dear Pilou,

        I don't know how you do to deliver always those sensitive links ๐Ÿ‘ ๐Ÿ‘

        http://www.mathcurve.com/courbes2d/mascotte/mascotteanime.gif

        @unknownuser said:

        Seems make an half bowl with an helix in 2 parts (vertical internal & external )deformed by the Fredo Scale can make the trick
        please if you have time, try it and show us, each solution is a benefit for everybody in this place. โ˜€
        *s

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        • pilouP Offline
          pilou
          last edited by

          @unknownuser said:

          those sensitive links
          ๐Ÿ˜„
          So you miss my final little try (crossing message, so I post there ๐Ÿ˜„
          Without Fredoscale, only Draw helix13 by Peter Brown, 4 parts as explain above, and rotate, Scale -1/ symetry ๐Ÿ˜‰
          From the image above + Didier Bur line to cylinder
          If it's not realy perfect spherical you can deform it ๐Ÿ˜‰
          I have made a speedy test ๐Ÿ˜’
          (petit bricolage juste pour le fun ๐Ÿ˜‰
          volume.jpg

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

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          • pilouP Offline
            pilou
            last edited by

            Seems make an half bowl with an helix in 2 parts (vertical internal & external )deformed by the Fredo Scale can make the trick ๐Ÿ˜‰
            Then past a mirror one

            Another solution is maybe use a geometric formula ๐Ÿ˜‰
            Somewhere in this incredible world ๐Ÿ˜ฒ
            Or here in french ๐Ÿ˜‰

            Edit: seems that is possible with the plug Draw helix 13 ๐Ÿ˜‰
            Just take same start/end radius between each parts
            and make some vertical symetry and rotation
            With training I believe that you can make that in one minute! โ˜€
            spirale 13.jpg

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

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            • TaffGochT Offline
              TaffGoch
              last edited by

              This attempt was a "proof of concept" model, to try out a technique I had in mind.

              Torus_spiral.png
              The same technique could be used to precisely match the frequency and repetition of the original posted images, with the right count of torus and circle segments. (I doubt I'll pursue that further, but thought others might be interested in the technique.)

              Turn on viewing of "hidden geometry," to see how the follow-me path was drawn with the "Line" tool. (Model attached.)

              -Taff


              Torus_spiral.skp

              "Information is not knowledge." -- Albert Einstein

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              • ArcA Offline
                Arc
                last edited by

                Hi, guys, try the tours plugin (http://regularpolygon.blogspot.com/2010/07/plugin-torus-10.html)

                tours01.jpg
                tours02.jpg

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                • pilouP Offline
                  pilou
                  last edited by

                  @unknownuser said:

                  It seems to me that you may find an intermediate process to produce a really round shape, am I wrong?

                  I had not search to have a perfect round form ๐Ÿ˜’
                  Maybe it's an hard way because you must play with the Helix parameters! ๐Ÿ˜’
                  So maybe not the best trick for this problem ๐Ÿ’š
                  But as said previous you can deform it for approch the Sphere as your just previous post โ˜€ ๐Ÿค“

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

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                  • pilouP Offline
                    pilou
                    last edited by

                    @unknownuser said:

                    but this is the exercise!

                    Not for me! Form is secondary! ๐Ÿ˜ฎ
                    It was a trick for find the infinite closed path of the helix! โ˜€

                    another trichky one : the Boy's surface ๐Ÿ˜„ By JPP

                    http://www.jp-petit.org/science/maths_f/Retournement_sphere/Boy1.gif

                    http://www.poleditions.com/jeener/Gravures_sur_cuivre/Ecorch๏ฟฝ_de_la_surface_de_Boy.jpg

                    http://mathworld.wolfram.com/images/gifs/boy.jpg

                    http://www.jp-petit.org/science/maths_f/Retournement_sphere/couverture_Topologicon.jpg

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

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                    • simon le bonS Offline
                      simon le bon
                      last edited by

                      @Pilou

                      http://forums.sketchucation.com/download/file.php?id=51629

                      It seems to me that you may find an intermediate process to produce a really round shape, am I wrong?

                      @TaffGoch
                      It seems to me that we follow about the same method, and the sewing grows easily to a hard polycount ๐Ÿ˜†

                      http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_008_th.jpg

                      60x60=3600 ! I must be wrong somewhere ๐Ÿ˜ณ

                      http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_009_th.jpg

                      (picture coming from a study of TaffGoch model)

                      @Arc
                      Thank you to have discovered for us this Regular Polygon's plugin (Hello Regular ! ๐Ÿ‘ )
                      The torus spiral can be easily rearranged with FredoScale ๐Ÿ‘


                      http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_010_th.jpg


                      http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_011_th.jpg

                      @Ely
                      Guy, You can't but come now to show us your way ๐Ÿ˜†

                      *s

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                      • simon le bonS Offline
                        simon le bon
                        last edited by

                        @Pilou

                        @unknownuser said:

                        I had not search to have a perfect round form
                        but this is the exercise! ๐Ÿ˜•

                        @unknownuser said:

                        But as said previous you can deform it for approch the Sphere as your just previous post
                        ๐Ÿ‘ ๐Ÿ˜‰

                        @Myself

                        @unknownuser said:

                        60x60=3600 ! I must be wrong somewhere ๐Ÿ˜ณ


                        http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_012_th.jpg

                        (picture coming from a study of TaffGoch model)

                        I don't understand everything but i get an element of answer:

                        http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_013_th.jpg

                        (picture coming from a study of TaffGoch model)

                        *s

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                        • simon le bonS Offline
                          simon le bon
                          last edited by

                          Dear Pilou,
                          thanks for this Jean Pierre Petit's link. ๐Ÿ˜„

                          (When I was young, I was a wild and rebel, and bad student. I don't know why I want to understand everything like I do by now) โ“ ๐Ÿ˜’

                          First a trick concerning a problem I have met: When I wanted to reconstruct the complex set of spirals by copy/rotate the basic section, that produced here and there some micro-cuts in the continuity of the lines.
                          I have used StrayLines to locate and label them ๐Ÿ‘

                          http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_014_th.jpg

                          Repair,

                          http://i274.photobucket.com/albums/jj245/Spendauballet/videos/StrayLIneRepair.gif

                          >I want to understand better how the spiral works:
                          1)taking back my model
                          24 sided circle; 32 segmented face shape; each segment is 24 subdivided.
                          Each 360ยฐ turn of the shape describes completely one of the 32 face's segments.
                          24 single edges are necessary to achieve this single revolution.

                          Consequently, the entire spiral is made by 32 turns and no edge is used two times.
                          and we find effectively 32X24=768 edges

                          http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_015_th.jpg

                          1)taking back Taff's model

                          Each 360ยฐ turn of the shape uses 60 edges (because of the 60 sided based circle).

                          The entire spiral needs 3 complete turns of the shape to be totally described.

                          3X60= 180 edges of the spiral.

                          Each edge of the basic section (90 edges) is used two times.

                          2X90= 180 edges of the spiral.

                          As I can understand the law of this:

                          1. the shape must make a number of entire 360ยฐ turns
                          2. the complet set of edges(included into the basic section) must be used a complete number of times.
                          3. the number of edges used in the number of complete turns must meet the number of edges constituting the basic section used to produce the spiral.

                          here: 60X3=180=90x2


                          http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_016_th.jpg

                          to be verified!

                          ๐Ÿค“ simon

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                          • pilouP Offline
                            pilou
                            last edited by

                            I believe that is the same problem for what Tig had made his True Tangents plug
                            Circles or helix ar not real circle, just polysegments aproximation , so in the 3D space there are some losses of precision after some turns ๐Ÿ˜‰

                            I have remarked that with my previous try above, I had must corrected by hand the join continuity! ๐Ÿ˜’ ๐Ÿ˜‰

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

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                            • ely862meE Offline
                              ely862me
                              last edited by

                              Hmm so much theory ..what i did was simple,make a spring,make a copy of it,take a spring and adjust it with ffd(remember to let the top and bottom points untouched) in order to make from it the inside part of the spiral, after this take the other one and flip it along in order to continue(descend on the outside) the first one,then play with ffd on it in order to make the exterior part of the spiral(remember to let the top and the bottom points untouched).Then i used lines to tube plugin. And that s kind of it!
                              Ah..and before working them with ffd i flattened(with ffd) the top and bottom spires of the springs to make a smooth transition from a spire to another.


                              infinite spiral a.skp

                              Elisei (sketchupper)


                              Before no life was done on Earth it was THE LIFE ITSELF...GOD
                              Come and See EliseiDesign

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                              • TaffGochT Offline
                                TaffGoch
                                last edited by

                                Colors help identify the six separate (yet identical) loop components:

                                Rainbow_spiral_toroid.png

                                -Taff

                                "Information is not knowledge." -- Albert Einstein

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                                • simon le bonS Offline
                                  simon le bon
                                  last edited by

                                  @Ely,

                                  Hi Ely, I like your way: searching for simple and quick processes ๐Ÿ˜Ž your solutions are refreshing ๐Ÿ‘
                                  SketchyFFD (Free Form Deformation) is a good deal for sure ๐Ÿ‘ ๐Ÿ‘
                                  [Plugin] SketchyFFD (Updated Aug 22, 2009) by CPhillips
                                  SketchyFFD (Updated 9 Feb 2010) revisited by gbabcock
                                  Making springs:
                                  How to make spiral 02 by SketchUp
                                  SketchUp: KitoRaupp_Pottery
                                  (May be you can do a little more effort to explain in few several steps in your Skp rather than just show the result ๐Ÿ˜„ )

                                  http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/ElySoluce.jpg
                                  ๐Ÿ‘

                                  @Taff

                                  Hi Taff (I have noticed you are from the early morning, and I'm waiting my own awakening to read your posts ๐Ÿ˜‰ ) Thank you for your colored exemples. I guess the same treatment as you've done with your Geodesic Weave Ball should be also very great ๐Ÿ˜‰

                                  http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/th_Weave_chipped.jpg

                                  Additionally, I would invite people to visit carefully your warehouse collections they are mines ๐Ÿ‘ ๐Ÿ‘ ๐Ÿ‘

                                  • and don't forget the "Help Group Discussion" ๐Ÿ˜‰

                                    http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/th_TaffGochWareh.jpg

                                  โ˜€ simon
                                  re: what a great thread!!

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                                  • TaffGochT Offline
                                    TaffGoch
                                    last edited by

                                    More torus segments produce results that better approximate the original images.
                                    (Well, duh!) ๐Ÿ˜†

                                    Torus_spiral.jpg
                                    Model available at 3D Warehouse

                                    -Taff

                                    "Information is not knowledge." -- Albert Einstein

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                                    • TaffGochT Offline
                                      TaffGoch
                                      last edited by

                                      Simon,

                                      I tried the chipped-paint texture, but it was too "busy," and was a visual distraction.

                                      A simple texture looks good though, when rendered:

                                      SpiralRender.jpg
                                      -Taff

                                      "Information is not knowledge." -- Albert Einstein

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                                      • simon le bonS Offline
                                        simon le bon
                                        last edited by

                                        Dear Taff,

                                        Simple is the best; it is a "rรฉussite" . I see it in 2D, spirit relaxing.
                                        (But is it so simple? I mean about the discrete raw of light)

                                        'Cause you seem also from late in the night, I wish U a good one.

                                        ๐Ÿ˜‰ simon

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                                        • simon le bonS Offline
                                          simon le bon
                                          last edited by

                                          @simon le bon said:

                                          As I can understand the law of this:

                                          1. the shape must make a number of entire 360ยฐ turns
                                          2. the complet set of edges(included into the basic section) must be used a complete number of times.
                                          3. the number of edges used in the number of complete turns must meet the number of edges constituting the basic section used to produce the spiral.

                                          and
                                          4)the number of entire 360ยฐ turns of the shape must be the minimum one (sorry for bad explanation. I think it is the meaning of :"Least common multiple" )
                                          (It doesn't make sens for the basic shape to go around more than the necessary number!)

                                          @unknownuser said:

                                          to be verified!!!!

                                          I take back Taff's model to make a try to validate my thoughts


                                          http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_017_th.jpg


                                          http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_018_th.jpg


                                          http://i274.photobucket.com/albums/jj245/Spendauballet/SketchUp/EndlessBowl_019_th.jpg

                                          Not bad what do you think! ๐Ÿ˜Ž slb

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                                          • TaffGochT Offline
                                            TaffGoch
                                            last edited by

                                            Simon,

                                            I didn't pursue the precise defining of the calculations, but I sensed the general concept of the relationships.

                                            When I started on my second model, I roughly estimated a "longitude-to-latitude" ratio that should (might) produce a more-complex, tighter spiral with less slope, and six loops.

                                            As an intellectual pursuit, yours is a good mental exercise. (Perhaps, if it were mid-winter, and I was snowed-in, then I would have time to wrestle with a precise definition.) ๐Ÿ˜†

                                            -Taff

                                            "Information is not knowledge." -- Albert Einstein

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