{ "X3D": {
    "encoding":"UTF-8",
    "@profile":"Immersive",
    "@version":"3.3",
    "@xsd:noNamespaceSchemaLocation":"https://www.web3d.org/specifications/x3d-3.3.xsd",
    "JSON schema":"https://www.web3d.org/specifications/x3d-4.0-JSONSchema.autogenerated.json",
    "head": {
        "meta": [
          {
            "@name":"title",
            "@content":"MobiusExtrusion.x3d"
          },
          {
            "@name":"description",
            "@content":"Mobius (or Mobius) is a surface with only one side and only one boundary component."
          },
          {
            "@name":"creator",
            "@content":"Don Brutzman"
          },
          {
            "@name":"created",
            "@content":"14 January 2012"
          },
          {
            "@name":"modified",
            "@content":"20 October 2019"
          },
          {
            "@name":"Image",
            "@content":"MobiusStrip-01.png"
          },
          {
            "@name":"Image",
            "@content":"MobiusExtrusionsInternalLighting.png"
          },
          {
            "@name":"TODO",
            "@content":"properly handle special characters in \"Möbius\" during catalog creation"
          },
          {
            "@name":"reference",
            "@content":"https://en.wikipedia.org/wiki/M%C3%B6bius_strip"
          },
          {
            "@name":"reference",
            "@content":"https://www.web3d.org/x3d/content/examples/Basic/NURBS/MobiusNurbs.x3d"
          },
          {
            "@name":"subject",
            "@content":"Mobius strip modeled with Extrusion"
          },
          {
            "@name":"info",
            "@content":"Development of this scene added new features to X3D-Edit"
          },
          {
            "@name":"reference",
            "@content":"https://www.web3d.org/x3d/content/examples/X3dResources.html"
          },
          {
            "@name":"identifier",
            "@content":"https://www.web3d.org/x3d/content/examples/X3dForAdvancedModeling/GeometricShapes/MobiusExtrusion.x3d"
          },
          {
            "@name":"generator",
            "@content":"X3D-Edit 3.3, https://www.web3d.org/x3d/tools/X3D-Edit"
          },
          {
            "@name":"license",
            "@content":"../license.html"
          },
          {
            "@name":"translated",
            "@content":"16 April 2026"
          },
          {
            "@name":"generator",
            "@content":"X3dToJson.xslt, https://www.web3d.org/x3d/stylesheets/X3dToJson.html"
          },
          {
            "@name":"reference",
            "@content":"X3D JSON encoding: https://www.web3d.org/wiki/index.php/X3D_JSON_Encoding"
          }
        ]
    },
    "Scene": {
        "-children":[
          {
            "#comment":"TODO clockwise or counterclockwise"
          },
          { "WorldInfo":
            {
              "@title":"MobiusExtrusion.x3d"
            }
          },
          { "Background":
            {
              "@skyColor":[0,0.6784314,0.8]
            }
          },
          { "Viewpoint":
            {
              "@description":"Mobius strip extrusion, plus cross-sectional view",
              "@orientation":[1,0,0,-0.46365],
              "@position":[0,5,10]
            }
          },
          { "Viewpoint":
            {
              "@description":"Mobius strip from above",
              "@orientation":[1,0,0,-1.5707999],
              "@position":[0,10,0]
            }
          },
          { "Viewpoint":
            {
              "@description":"Mobius strip from side"
            }
          },
          { "Transform":
            {
              "@DEF":"MobiusStrip",
              "@scale":[2,2,2],
              "@translation":[-3,2,0],
              "-children":[
                { "PointLight":
                  {
                    "@DEF":"InteriorLight",
                    "@global":false
                  }
                },
                { "Shape":
                  {
                    "-geometry":
                      { "Extrusion":
                        {
                          "@creaseAngle":0.7854,
                          "@crossSection":[-0.2,-0.1,0.2,-0.1,0.2,0.1,-0.2,0.1,-0.2,-0.1],
                          "@orientation":[0,1,0,-1.5707999,0,1,0,-1.309,0,1,0,-1.0472,0,1,0,-0.7854,0,1,0,-0.5236,0,1,0,-0.2618,0,1,0,0,0,1,0,0.2618,0,1,0,0.5236,0,1,0,0.7854,0,1,0,1.0472,0,1,0,1.309,0,1,0,1.5707999,0,1,0,1.8326,0,1,0,2.0943999,0,1,0,2.3562,0,1,0,2.618,0,1,0,2.8798001,0,1,0,3.1415999,0,1,0,3.4033999,0,1,0,3.6652,0,1,0,3.927,0,1,0,4.1887999,0,1,0,4.4506001,0,1,0,4.7124],
                          "@solid":false,
                          "@spine":[0,0,1,0.259,0,0.966,0.5,0,0.866,0.707,0,0.707,0.866,0,0.5,0.966,0,0.259,1,0,0,0.966,0,-0.259,0.866,0,-0.5,0.707,0,-0.707,0.5,0,-0.866,0.259,0,-0.966,0,0,-1,-0.259,0,-0.966,-0.5,0,-0.866,-0.707,0,-0.707,-0.866,0,-0.5,-0.966,0,-0.259,-1,0,-0,-0.966,0,0.259,-0.866,0,0.5,-0.707,0,0.707,-0.5,0,0.866,-0.259,0,0.966,0,0,1]
                        }
                      },
                    "-children":[
                      {
                        "#comment":"illustrated by follow-on ExtrusionCrossSection visualization"
                      }
                    ],
                    "-appearance":
                      { "Appearance":
                        {
                          "-material":
                            { "Material":
                              {
                                "@diffuseColor":[0.4431373,0.1803922,1]
                              }
                            },
                          "-children":[
                            {
                              "#comment":"TODO add ruled ImageTexture"
                            }
                          ]
                        }
                      }
                  }
                }
              ]
            }
          },
          { "ExternProtoDeclare":
            {
              "@name":"ExtrusionCrossSection",
              "@appinfo":"Shape prototype for Extrusion node that also draws spine line plus oriented scaled cross sections at each spine point",
              "@documentation":"https://www.web3d.org/x3d/content/examples/Basic/course/ExtrusionCrossSectionPrototype.x3d",
              "@url":["../../Basic/course/ExtrusionCrossSectionPrototype.x3d#ExtrusionCrossSection","https://www.web3d.org/x3d/content/examples/Basic/course/ExtrusionCrossSectionPrototype.x3d#ExtrusionCrossSection"],
              "field": [
                {
                  "@name":"name",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion name",
                  "@type":"SFString"
                },
                {
                  "@name":"crossSection",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"MFVec2f"
                },
                {
                  "@name":"spine",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"MFVec3f"
                },
                {
                  "@name":"scale",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"MFVec2f"
                },
                {
                  "@name":"orientation",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"MFRotation"
                },
                {
                  "@name":"beginCap",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"SFBool"
                },
                {
                  "@name":"endCap",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"SFBool"
                },
                {
                  "@name":"ccw",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"SFBool"
                },
                {
                  "@name":"convex",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"SFBool"
                },
                {
                  "@name":"creaseAngle",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"SFFloat"
                },
                {
                  "@name":"solid",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"SFBool"
                },
                {
                  "@name":"spineColor",
                  "@accessType":"inputOutput",
                  "@appinfo":"emissiveColor of spine",
                  "@type":"SFColor"
                },
                {
                  "@name":"crossSectionColor",
                  "@accessType":"inputOutput",
                  "@appinfo":"diffuseColor of crossSection",
                  "@type":"SFColor"
                },
                {
                  "@name":"crossSectionTransparency",
                  "@accessType":"inputOutput",
                  "@appinfo":"transparency of crossSection",
                  "@type":"SFFloat"
                },
                {
                  "@name":"extrusionColor",
                  "@accessType":"inputOutput",
                  "@appinfo":"diffuseColor of extrusion hull",
                  "@type":"SFColor"
                },
                {
                  "@name":"extrusionTransparency",
                  "@accessType":"inputOutput",
                  "@appinfo":"transparency of extrusion hull",
                  "@type":"SFFloat"
                },
                {
                  "@name":"extrusionImageTexture",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Image to apply to Extrusion",
                  "@type":"SFNode"
                },
                {
                  "@name":"extrusionTextureTransform",
                  "@accessType":"initializeOnly",
                  "@appinfo":"TextureTransform coordinates of image applied to Extrusion",
                  "@type":"SFNode"
                },
                {
                  "@name":"set_crossSection",
                  "@accessType":"inputOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"MFVec2f"
                },
                {
                  "@name":"set_spine",
                  "@accessType":"inputOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"MFVec3f"
                },
                {
                  "@name":"set_scale",
                  "@accessType":"inputOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"MFVec2f"
                },
                {
                  "@name":"set_orientation",
                  "@accessType":"inputOnly",
                  "@appinfo":"Extrusion field",
                  "@type":"MFRotation"
                },
                {
                  "@name":"traceEnabled",
                  "@accessType":"initializeOnly",
                  "@appinfo":"Whether to provide initialization trace statements showing node construction",
                  "@type":"SFBool"
                }
              ]
            }
          },
          { "Transform":
            {
              "@DEF":"MobiusStripExploded",
              "@scale":[2,2,2],
              "@translation":[3,2,0],
              "-children":[
                { "PointLight":
                  {
                    "@USE":"InteriorLight"
                  }
                },
                {
                  "#comment":"===================="
                },
                { "Switch":
                  {
                    "@whichChoice":0,
                    "-children":[
                      { "ProtoInstance":
                        {
                          "@name":"ExtrusionCrossSection",
                          "fieldValue": [
                            {
                              "@name":"name",
                              "@value":"MobiusStrip"
                            },
                            {
                              "@name":"crossSection",
                              "@value":[-0.2,-0.1,0.2,-0.1,0.2,0.1,-0.2,0.1,-0.2,-0.1]
                            },
                            {
                              "@name":"spine",
                              "@value":[0,0,1,0.259,0,0.966,0.5,0,0.866,0.707,0,0.707,0.866,0,0.5,0.966,0,0.259,1,0,0,0.966,0,-0.259,0.866,0,-0.5,0.707,0,-0.707,0.5,0,-0.866,0.259,0,-0.966,0,0,-1,-0.259,0,-0.966,-0.5,0,-0.866,-0.707,0,-0.707,-0.866,0,-0.5,-0.966,0,-0.259,-1,0,-0,-0.966,0,0.259,-0.866,0,0.5,-0.707,0,0.707,-0.5,0,0.866,-0.259,0,0.966,0,0,1]
                            },
                            {
                              "@name":"scale",
                              "@value":[1,1]
                            },
                            {
                              "@name":"orientation",
                              "@value":[0,1,0,-1.5707999,0,1,0,-1.309,0,1,0,-1.0472,0,1,0,-0.7854,0,1,0,-0.5236,0,1,0,-0.2618,0,1,0,0,0,1,0,0.2618,0,1,0,0.5236,0,1,0,0.7854,0,1,0,1.0472,0,1,0,1.309,0,1,0,1.5707999,0,1,0,1.8326,0,1,0,2.0943999,0,1,0,2.3562,0,1,0,2.618,0,1,0,2.8798001,0,1,0,3.1415999,0,1,0,3.4033999,0,1,0,3.6652,0,1,0,3.927,0,1,0,4.1887999,0,1,0,4.4506001,0,1,0,4.7124]
                            },
                            {
                              "@name":"beginCap",
                              "@value":true
                            },
                            {
                              "@name":"endCap",
                              "@value":true
                            },
                            {
                              "@name":"ccw",
                              "@value":true
                            },
                            {
                              "@name":"convex",
                              "@value":true
                            },
                            {
                              "@name":"creaseAngle",
                              "@value":0.524
                            },
                            {
                              "@name":"solid",
                              "@value":false
                            },
                            {
                              "@name":"spineColor",
                              "@value":[1,0.8,0.0]
                            },
                            {
                              "@name":"crossSectionColor",
                              "@value":[0.5,0.5,0.5]
                            },
                            {
                              "@name":"crossSectionTransparency",
                              "@value":0.26666668
                            },
                            {
                              "@name":"extrusionColor",
                              "@value":[0.8,0.6,0.0]
                            },
                            {
                              "@name":"extrusionTransparency",
                              "@value":0.8
                            },
                            {
                              "@name":"traceEnabled",
                              "@value":false
                            }
                          ]
                        }
                      },
                      {
                        "#comment":"Add any ROUTEs here that connect ProtoInstance to/from prior nodes in Scene"
                      },
                      {
                        "#comment":"Example use: https://www.web3d.org/x3d/content/examples/Basic/course/ExtrusionCrossSectionExample.x3d"
                      }
                    ]
                  }
                },
                {
                  "#comment":"===================="
                }
              ]
            }
          },
          { "Transform":
            {
              "@DEF":"UntwistedStrip",
              "@scale":[2,2,2],
              "@translation":[-3,-2,0],
              "-children":[
                { "PointLight":
                  {
                    "@USE":"InteriorLight"
                  }
                },
                { "Shape":
                  {
                    "-geometry":
                      { "Extrusion":
                        {
                          "@creaseAngle":0.524,
                          "@crossSection":[-0.2,-0.1,0.2,-0.1,0.2,0.1,-0.2,0.1,-0.2,-0.1],
                          "@solid":false,
                          "@spine":[0,0,1,0.259,0,0.966,0.5,0,0.866,0.707,0,0.707,0.866,0,0.5,0.966,0,0.259,1,0,0,0.966,0,-0.259,0.866,0,-0.5,0.707,0,-0.707,0.5,0,-0.866,0.259,0,-0.966,0,0,-1,-0.259,0,-0.966,-0.5,0,-0.866,-0.707,0,-0.707,-0.866,0,-0.5,-0.966,0,-0.259,-1,0,-0,-0.966,0,0.259,-0.866,0,0.5,-0.707,0,0.707,-0.5,0,0.866,-0.259,0,0.966,0,0,1]
                        }
                      },
                    "-children":[
                      {
                        "#comment":"illustrated by follow-on ExtrusionCrossSection visualization"
                      }
                    ],
                    "-appearance":
                      { "Appearance":
                        {
                          "-material":
                            { "Material":
                              {
                                "@diffuseColor":[0,0.1490196,0.9411765]
                              }
                            },
                          "-children":[
                            {
                              "#comment":"TODO add ruled ImageTexture"
                            }
                          ]
                        }
                      }
                  }
                }
              ]
            }
          },
          { "Transform":
            {
              "@DEF":"UntwistedStripExploded",
              "@scale":[2,2,2],
              "@translation":[3,-2,0],
              "-children":[
                { "PointLight":
                  {
                    "@USE":"InteriorLight"
                  }
                },
                { "ProtoInstance":
                  {
                    "@name":"ExtrusionCrossSection",
                    "fieldValue": [
                      {
                        "@name":"name",
                        "@value":"UntwistedStrip"
                      },
                      {
                        "@name":"crossSection",
                        "@value":[-0.2,-0.1,0.2,-0.1,0.2,0.1,-0.2,0.1,-0.2,-0.1]
                      },
                      {
                        "@name":"spine",
                        "@value":[0,0,1,0.259,0,0.966,0.5,0,0.866,0.707,0,0.707,0.866,0,0.5,0.966,0,0.259,1,0,0,0.966,0,-0.259,0.866,0,-0.5,0.707,0,-0.707,0.5,0,-0.866,0.259,0,-0.966,0,0,-1,-0.259,0,-0.966,-0.5,0,-0.866,-0.707,0,-0.707,-0.866,0,-0.5,-0.966,0,-0.259,-1,0,-0,-0.966,0,0.259,-0.866,0,0.5,-0.707,0,0.707,-0.5,0,0.866,-0.259,0,0.966,0,0,1]
                      },
                      {
                        "@name":"scale",
                        "@value":[1,1]
                      },
                      {
                        "@name":"beginCap",
                        "@value":true
                      },
                      {
                        "@name":"endCap",
                        "@value":true
                      },
                      {
                        "@name":"ccw",
                        "@value":true
                      },
                      {
                        "@name":"convex",
                        "@value":true
                      },
                      {
                        "@name":"creaseAngle",
                        "@value":0.524
                      },
                      {
                        "@name":"solid",
                        "@value":false
                      },
                      {
                        "@name":"spineColor",
                        "@value":[1,0.8,0.0]
                      },
                      {
                        "@name":"crossSectionColor",
                        "@value":[0,0.1490196,0.9411765]
                      },
                      {
                        "@name":"crossSectionTransparency",
                        "@value":0.26666668
                      },
                      {
                        "@name":"extrusionColor",
                        "@value":[0.8,0.6,0.0]
                      },
                      {
                        "@name":"extrusionTransparency",
                        "@value":0.8
                      },
                      {
                        "@name":"traceEnabled",
                        "@value":false
                      }
                    ]
                  }
                }
              ]
            }
          }
        ]
    }
  }
}