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    An exercise: DRAWING A PARISIAN FENCE

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    • pilouP Offline
      pilou
      last edited by

      @unknownuser said:

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

        Another solution is maybe use a geometric formula 😉
        Somewhere in this incredible world 😲
        Or here in french 😉

        Edit: seems that is possible with the plug Draw helix 13 😉
        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! ☀
        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 😒
              Maybe it's an hard way because you must play with the Helix parameters! 😒
              So maybe not the best trick for this problem 💚
              But as said previous you can deform it for approch the Sphere as your just previous post ☀ 🤓

              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! 😮
                It was a trick for find the infinite closed path of the helix! ☀

                another trichky one : the Boy's surface 😄 By JPP

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

                http://www.poleditions.com/jeener/Gravures_sur_cuivre/Ecorch�_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 😆

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

                  60x60=3600 ! I must be wrong somewhere 😳

                  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 ! 👍 )
                  The torus spiral can be easily rearranged with FredoScale 👍


                  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 😆

                  *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! 😕

                    @unknownuser said:

                    But as said previous you can deform it for approch the Sphere as your just previous post
                    👍 😉

                    @Myself

                    @unknownuser said:

                    60x60=3600 ! I must be wrong somewhere 😳


                    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. 😄

                      (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) ❓ 😒

                      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 👍

                      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 360° 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 360° 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 360° 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!

                      🤓 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 😉

                        I have remarked that with my previous try above, I had must corrected by hand the join continuity! 😒 😉

                        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 😎 your solutions are refreshing 👍
                              SketchyFFD (Free Form Deformation) is a good deal for sure 👍 👍
                              [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 😄 )

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

                              @Taff

                              Hi Taff (I have noticed you are from the early morning, and I'm waiting my own awakening to read your posts 😉 ) 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 😉

                              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 👍 👍 👍

                              • and don't forget the "Help Group Discussion" 😉

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

                              ☀ 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!) 😆

                                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 "réussite" . 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.

                                    😉 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 360° 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 360° 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! 😎 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.) 😆

                                        -Taff

                                        "Information is not knowledge." -- Albert Einstein

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                                        • simon le bonS Offline
                                          simon le bon
                                          last edited by

                                          @taffgoch said:

                                          (Perhaps, if it were mid-winter, and I was snowed-in, then I would have time to wrestle with a precise definition.) 😆

                                          😆

                                          End of the exercise I suppose 😉

                                          simon!

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                                          • simon le bonS Offline
                                            simon le bon
                                            last edited by

                                            by Cosycat

                                            http://www.webdesignmash.com/trial/wp-content/uploads/2010/02/davidope10.gif

                                            👍 😉 sim

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