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    Geosphere?

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    • thomthomT Offline
      thomthom
      last edited by

      Isn't that a sphere with poles? The points would not be evenly spaced.

      sphere.png
      I'm looking to generate the points for the sphere on the right.

      Thomas Thomassen β€” SketchUp Monkey & Coding addict
      List of my plugins and link to the CookieWare fund

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      • T Offline
        tml
        last edited by

        @thomthom said:

        I'm looking to generate the points for the sphere on the right.

        Start with a octahedron, divide each edge into half and thus each face into four equal smaller triangles, move the new vertices to the desired radius, repeat.

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        • T Offline
          tml
          last edited by

          Note that the above results in just a fairly nice approximation, though. (And I don't know if it matches the subdivision used in your example image.) Only for the (not really sphere-like, as they have so few faces) Platonic solids are the vertices in a strict sense evenly distributed, though. See http://www.cgafaq.info/wiki/Evenly_distributed_points_on_sphere and especially http://www.math.niu.edu/~rusin/known-math/95/sphere.faq .

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          • thomthomT Offline
            thomthom
            last edited by

            Approximation is ok. Just just want to take a fixed number of points and distribute them approximately evenly. Doesn't matter if they need to be rounded to a number that fit some geometric restriction.

            Thanks for the links - I'll look into them.

            Thomas Thomassen β€” SketchUp Monkey & Coding addict
            List of my plugins and link to the CookieWare fund

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            • thomthomT Offline
              thomthom
              last edited by

              Excellent - the spiral methods works great for my use! πŸ‘

              Thomas Thomassen β€” SketchUp Monkey & Coding addict
              List of my plugins and link to the CookieWare fund

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              • AdamBA Offline
                AdamB
                last edited by

                Its pretty common to subdivide a cube and then project onto a sphere.

                If you want evenly distributed but not a regular mesh, you could use a Hammersley point set.

                Developer of LightUp Click for website

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                • thomthomT Offline
                  thomthom
                  last edited by

                  @adamb said:

                  Its pretty common to subdivide a cube and then project onto a sphere.

                  Would that give a even-ish distribution?

                  @adamb said:

                  If you want evenly distributed but not a regular mesh, you could use a Hammersley point set.

                  Thanks for the pointer - will look it up. πŸ‘

                  Thomas Thomassen β€” SketchUp Monkey & Coding addict
                  List of my plugins and link to the CookieWare fund

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                  • david_hD Offline
                    david_h
                    last edited by

                    @unknownuser said:

                    A sphere with a center (x0,y0,z0) with diameter r
                    has all points x,y,z like

                    http://upload.wikimedia.org/math/3/3/0/33031c82e871501422b05455c81d2680.png

                    with

                    http://upload.wikimedia.org/math/e/b/9/eb91f8174391d023015dedf9beb94e5d.png

                    http://upload.wikimedia.org/math/9/0/1/9011474548ae3216019a280ff95d25a3.png
                    = Latitude

                    http://upload.wikimedia.org/math/1/9/6/1964adc54d7dc608fd9f63a46cae422b.png
                    = longitude

                    That is just how I would do it! πŸ˜’ πŸ’š

                    If I make it look easy...It is probably easy

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                    • pilouP Offline
                      pilou
                      last edited by

                      Me too πŸ˜„

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

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                      • thomthomT Offline
                        thomthom
                        last edited by

                        Google are really quick to index this site!
                        I did a search for "Hammersley point set sphere" and this thread came up as #3 already. πŸ˜’

                        Thomas Thomassen β€” SketchUp Monkey & Coding addict
                        List of my plugins and link to the CookieWare fund

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                        • mitcorbM Offline
                          mitcorb
                          last edited by

                          Not busy enough elsewhere, eh tml?
                          Thank you for your talents, also.

                          I take the slow, deliberate approach in my aimless wandering.

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                          • AdamBA Offline
                            AdamB
                            last edited by

                            There you go.

                            http://forums.sketchucation.com/viewtopic.php?f=180&t=30694&p=269864#p269864

                            Developer of LightUp Click for website

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