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    Cassini Oval

    How To... ?
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    • crystalhorizon
      crystalhorizon Beta Platinum last edited by

      Hi you math geniuses. How can I do a cassini oval like this gif https://commons.wikimedia.org/wiki/File:Animated_Line_of_Cassini.gif in Isadora? Would like to use the burning points interactivly.

      Alexander Nantschev | http://www.crystalhorizon.at | located in Vienna Austria

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      • Michel
        Michel Izzy Guru last edited by

        @crystalhorizon
        how about starting with this shader? :-)
        Best Michel

        Michel Weber | www.filmprojekt.ch | rMBP (2019) i9, 16gig, AMD 5500M 8 GB, OS X 10.15 | located in Winterthur Switzerland.

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        • jhoepffner
          jhoepffner last edited by

          Directly in Isadora, for the moment, no way (for my knowing)

          – you can try with shader, but can be difficult
          – you can try with Processing but not exactly easy neither
          – You can do it with Mathematica or Maplesoft…
          Jacques

          Jacques Hoepffner http://hoepffner.info
          GigaByte 550b / Ryzen 7 3800X / Ram 64 Go / RTX 3090 24 Go / SSD 2 To / raid0 32 To
          MBP 13' i5 2.6 Ghz 16 Go / Intel Iris / macOs 10.11.6 / izzy 2.6.1 + 3.0.3b2
          MBP 15' i7 2.6 Ghz 16 Go / GTX 650M 1Go/ MacOs10.13.3 / Izzy 2.6.1
          MSI GS65 i7 3.6 Ghz 32 Go / GTX 1070 8 Go / Windows 10 / Izzy 3.0.3b2

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          • jhoepffner
            jhoepffner last edited by

            You can begin to study the function in Grapher (MacOs)

            I think it's doable in GLSL fragment shader, like
            if (![](webkit-fake-url://889f2f2f-5097-409e-8742-bac4002237ac/application.pdf)){
            color is black;}
            else if {
            color is white}
            with T an uniform variable between 0 and 2 changed in Isadora.
            Too late to do it now, bed time here in Paris :-)
            Jacques

            8a7f8c-lignedecassini.jpg 360b8a-lignedecassini.gcx.zip

            Jacques Hoepffner http://hoepffner.info
            GigaByte 550b / Ryzen 7 3800X / Ram 64 Go / RTX 3090 24 Go / SSD 2 To / raid0 32 To
            MBP 13' i5 2.6 Ghz 16 Go / Intel Iris / macOs 10.11.6 / izzy 2.6.1 + 3.0.3b2
            MBP 15' i7 2.6 Ghz 16 Go / GTX 650M 1Go/ MacOs10.13.3 / Izzy 2.6.1
            MSI GS65 i7 3.6 Ghz 32 Go / GTX 1070 8 Go / Windows 10 / Izzy 3.0.3b2

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            • crystalhorizon
              crystalhorizon Beta Platinum last edited by

              @Michel a shader would be great, but where to find?

              Alexander Nantschev | http://www.crystalhorizon.at | located in Vienna Austria

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              • crystalhorizon
                crystalhorizon Beta Platinum last edited by

                @[jhoepffner](/troikatronixforum/profile/15/jhoepffner) 
                Thanx for the comment. Is Grapher 389 dollars? Thats a lot now...
                http://www.goldensoftware.com/products/grapher
                Can´t see some of your post, see screenshot

                205b49-screenshot-2016-10-26-23.24.28.png

                Alexander Nantschev | http://www.crystalhorizon.at | located in Vienna Austria

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                • Michel
                  Michel Izzy Guru last edited by

                  @crystalhorizon

                  oh I forgot to post the link: https://www.shadertoy.com/view/4d33Rf

                  Michel Weber | www.filmprojekt.ch | rMBP (2019) i9, 16gig, AMD 5500M 8 GB, OS X 10.15 | located in Winterthur Switzerland.

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                  • crystalhorizon
                    crystalhorizon Beta Platinum last edited by

                    @Michel thank you!

                    Alexander Nantschev | http://www.crystalhorizon.at | located in Vienna Austria

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                    • jhoepffner
                      jhoepffner last edited by

                      Hello,

                      No Grapher is free and included with every Macos…
                      Maplesoft and Mathematica are not free.
                      I make a little exploration of your problem. In Processing it's possible to work on it, first you have ro use the parametric equation, not the cartesian.
                      But no time to finish and present it.
                      Jacques

                      Jacques Hoepffner http://hoepffner.info
                      GigaByte 550b / Ryzen 7 3800X / Ram 64 Go / RTX 3090 24 Go / SSD 2 To / raid0 32 To
                      MBP 13' i5 2.6 Ghz 16 Go / Intel Iris / macOs 10.11.6 / izzy 2.6.1 + 3.0.3b2
                      MBP 15' i7 2.6 Ghz 16 Go / GTX 650M 1Go/ MacOs10.13.3 / Izzy 2.6.1
                      MSI GS65 i7 3.6 Ghz 32 Go / GTX 1070 8 Go / Windows 10 / Izzy 3.0.3b2

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                      • jhoepffner
                        jhoepffner last edited by

                        I just take a look to the Michel example, it's exactly that inside the for loop, two separate equation for x and y with t as parameter.

                        Jacques Hoepffner http://hoepffner.info
                        GigaByte 550b / Ryzen 7 3800X / Ram 64 Go / RTX 3090 24 Go / SSD 2 To / raid0 32 To
                        MBP 13' i5 2.6 Ghz 16 Go / Intel Iris / macOs 10.11.6 / izzy 2.6.1 + 3.0.3b2
                        MBP 15' i7 2.6 Ghz 16 Go / GTX 650M 1Go/ MacOs10.13.3 / Izzy 2.6.1
                        MSI GS65 i7 3.6 Ghz 32 Go / GTX 1070 8 Go / Windows 10 / Izzy 3.0.3b2

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                        • jhoepffner
                          jhoepffner last edited by

                          @[crystalhorizon](/troikatronixforum/profile/371/crystalhorizon)  Hello,
                          I take some time to try Cassini line in shader. Here are the result. At the moment you see only the central part (between the two centers), but I hope to find a solution for the complete view.
                          Here is the patch with commented glsl shader.
                          It's a beginning, up to you to continue!
                          Jacques

                          46b5ca-shadercassini.izz

                          Jacques Hoepffner http://hoepffner.info
                          GigaByte 550b / Ryzen 7 3800X / Ram 64 Go / RTX 3090 24 Go / SSD 2 To / raid0 32 To
                          MBP 13' i5 2.6 Ghz 16 Go / Intel Iris / macOs 10.11.6 / izzy 2.6.1 + 3.0.3b2
                          MBP 15' i7 2.6 Ghz 16 Go / GTX 650M 1Go/ MacOs10.13.3 / Izzy 2.6.1
                          MSI GS65 i7 3.6 Ghz 32 Go / GTX 1070 8 Go / Windows 10 / Izzy 3.0.3b2

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                          • crystalhorizon
                            crystalhorizon Beta Platinum last edited by

                            @jhoepffner

                            Oh that is wonderful. Thank you! I will go deeper into that one ))

                            Alexander Nantschev | http://www.crystalhorizon.at | located in Vienna Austria

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