diff --git a/README.md b/README.md index f9b1b78..7b5b17f 100644 --- a/README.md +++ b/README.md @@ -133,7 +133,8 @@ let path = BezierPath2D(startPoint: .zero) Star(pointCount: 5, radius: 10, pointRadius: 1, centerSize: 4) .usingDefaultFacets() - .extruded(along: path, convexity: 4) + .extruded(along: path) + .withPreviewConvexity(4) .usingFacets(minAngle: 5°, minSize: 1) .save(to: "example4") ``` diff --git a/Sources/SwiftSCAD/Development/ForceRender.swift b/Sources/SwiftSCAD/Development/ForceRender.swift index af15545..f65cd7e 100644 --- a/Sources/SwiftSCAD/Development/ForceRender.swift +++ b/Sources/SwiftSCAD/Development/ForceRender.swift @@ -2,12 +2,7 @@ import Foundation fileprivate struct ForceRender { let body: Geometry - let convexity: Int - let moduleName: String? = "render" - var moduleParameters: CodeFragment.Parameters { - ["convexity": convexity] - } } extension ForceRender: Geometry2D, WrappedGeometry2D {} @@ -19,10 +14,8 @@ public extension Geometry2D { /// /// In preview mode, this operation forces the generation of a mesh for this geometry. This approach is useful for ensuring accurate previews of geometries, especially when boolean operations are complex and slow to compute. It also helps in avoiding or working around preview artifacts that might arise. /// - /// - Parameters: - /// - convexity: The maximum number of surfaces a straight line can intersect the result. This helps OpenSCAD preview the geometry correctly, but has no effect on final rendering. - func forceRendered(convexity: Int = 2) -> any Geometry2D { - ForceRender(body: self, convexity: convexity) + func forceRendered() -> any Geometry2D { + ForceRender(body: self) } } @@ -30,10 +23,7 @@ public extension Geometry3D { /// Force rendering /// /// In preview mode, this operation forces the generation of a mesh for this geometry. This approach is useful for ensuring accurate previews of geometries, especially when boolean operations are complex and slow to compute. It also helps in avoiding or working around preview artifacts that might arise. - /// - /// - Parameters: - /// - convexity: The maximum number of surfaces a straight line can intersect the result. This helps OpenSCAD preview the geometry correctly, but has no effect on final rendering. - func forceRendered(convexity: Int = 2) -> any Geometry3D { - ForceRender(body: self, convexity: convexity) + func forceRendered() -> any Geometry3D { + ForceRender(body: self) } } diff --git a/Sources/SwiftSCAD/Environment/Values/PreviewConvexity.swift b/Sources/SwiftSCAD/Environment/Values/PreviewConvexity.swift new file mode 100644 index 0000000..07dbea7 --- /dev/null +++ b/Sources/SwiftSCAD/Environment/Values/PreviewConvexity.swift @@ -0,0 +1,46 @@ +import Foundation + +public extension Environment { + private static let key = ValueKey("SwiftSCAD.PreviewConvexity") + + /// The preview convexity currently set in the environment. + /// + /// The `previewConvexity` parameter specifies the maximum number of front or back faces a ray might intersect in the geometry during preview rendering. This parameter is only relevant when using OpenCSG preview mode in OpenSCAD and has no effect on the final mesh output or rendering. + /// + /// - Important: In OpenCSG preview mode, `previewConvexity` helps determine the correct visibility of complex shapes (e.g., tori or nested geometries). Adjust this parameter for accurate previews of intricate models but know that it is not necessary for final output generation. + /// + /// - Returns: The preview convexity value as an `Int`, or `nil` if not set. + var previewConvexity: Int? { + self[Self.key] as? Int + } + + /// Returns a new environment with a modified preview convexity value. + /// + /// Use this method to apply a `previewConvexity` value to the environment, influencing the OpenCSG preview rendering in OpenSCAD. + /// + /// - Parameter convexity: An optional `Int` specifying the maximum number of front or back faces a ray might intersect. Pass `nil` to remove the existing convexity setting. + /// - Returns: A new `Environment` with the specified preview convexity. + /// + /// ### Example + /// ```swift + /// let environmentWithConvexity = environment.withPreviewConvexity(2) + /// ``` + func withPreviewConvexity(_ convexity: Int?) -> Environment { + setting(key: Self.key, value: convexity) + } +} + +public extension Geometry3D { + /// Applies a preview convexity setting to the geometry. + /// + /// This method sets a `previewConvexity` value, specifying the maximum number of front or back faces a ray might intersect in the geometry during preview rendering. While SwiftSCAD does not use this value directly for geometry creation, OpenSCAD’s OpenCSG preview mode relies on it for accurate previews. + /// + /// - Parameter convexity: An `Int` specifying the preview convexity. + /// - Returns: A modified geometry with the specified preview convexity. + /// + func withPreviewConvexity(_ convexity: Int) -> any Geometry3D { + withEnvironment { enviroment in + enviroment.withPreviewConvexity(convexity) + } + } +} diff --git a/Sources/SwiftSCAD/Geometry/Protocols/CombinedGeometry.swift b/Sources/SwiftSCAD/Geometry/Protocols/CombinedGeometry.swift index 153abfe..342c87d 100644 --- a/Sources/SwiftSCAD/Geometry/Protocols/CombinedGeometry.swift +++ b/Sources/SwiftSCAD/Geometry/Protocols/CombinedGeometry.swift @@ -29,27 +29,48 @@ extension CombinedGeometry2D { internal protocol CombinedGeometry3D: Geometry3D { var moduleName: String { get } var moduleParameters: CodeFragment.Parameters { get } + var supportsPreviewConvexity: Bool { get } var children: [any Geometry3D] { get } var boundaryMergeStrategy: Boundary3D.MergeStrategy { get } var combination: GeometryCombination { get } } extension CombinedGeometry3D { + func childEnvironment(for environment: Environment) -> Environment { + supportsPreviewConvexity ? environment.withPreviewConvexity(nil) : environment + } + func codeFragment(in environment: Environment) -> CodeFragment { - .init(module: moduleName, parameters: moduleParameters, body: children.map { $0.codeFragment(in: environment) }) + var params = moduleParameters + if let convexity = environment.previewConvexity, supportsPreviewConvexity { + params["convexity"] = convexity + } + + return .init( + module: moduleName, + parameters: params, + body: children.map { + $0.codeFragment(in: childEnvironment(for: environment)) + } + ) } func boundary(in environment: Environment) -> Boundary3D { - let boundaries = children.map { $0.boundary(in: environment) } + let boundaries = children.map { + $0.boundary(in: childEnvironment(for: environment)) + } return boundaryMergeStrategy.apply(boundaries) } func elements(in environment: Environment) -> [ObjectIdentifier: any ResultElement] { - let allElements = children.map { $0.elements(in: environment) } + let allElements = children.map { + $0.elements(in: childEnvironment(for: environment)) + } return .init(combining: allElements, operation: combination) } var moduleParameters: CodeFragment.Parameters { [:] } + var supportsPreviewConvexity: Bool { false } } public enum GeometryCombination { diff --git a/Sources/SwiftSCAD/Geometry/Protocols/ExtrusionGeometry.swift b/Sources/SwiftSCAD/Geometry/Protocols/ExtrusionGeometry.swift new file mode 100644 index 0000000..86196f2 --- /dev/null +++ b/Sources/SwiftSCAD/Geometry/Protocols/ExtrusionGeometry.swift @@ -0,0 +1,39 @@ +import Foundation + +internal protocol ExtrusionGeometry: Geometry3D { + var body: any Geometry2D { get } + var moduleName: String { get } + var moduleParameters: CodeFragment.Parameters { get } + func boundary(for boundary2D: Boundary2D, facets: Environment.Facets) -> Boundary3D +} + +extension ExtrusionGeometry { + func bodyEnvironment(for environment: Environment) -> Environment { + environment.withPreviewConvexity(nil) + } + + func codeFragment(in environment: Environment) -> CodeFragment { + + var parameters = moduleParameters + if let previewConvexity = environment.previewConvexity { + parameters["convexity"] = previewConvexity + } + + return CodeFragment( + module: moduleName, + parameters: parameters, + body: [body.codeFragment(in: bodyEnvironment(for: environment))] + ) + } + + func boundary(in environment: Environment) -> Bounds { + boundary( + for: body.boundary(in: bodyEnvironment(for: environment)), + facets: environment.facets + ) + } + + func elements(in environment: Environment) -> [ObjectIdentifier: any ResultElement] { + body.elements(in: bodyEnvironment(for: environment)) + } +} diff --git a/Sources/SwiftSCAD/Geometry/Protocols/Geometry.swift b/Sources/SwiftSCAD/Geometry/Protocols/Geometry.swift index cff6731..9d73bbb 100644 --- a/Sources/SwiftSCAD/Geometry/Protocols/Geometry.swift +++ b/Sources/SwiftSCAD/Geometry/Protocols/Geometry.swift @@ -6,6 +6,7 @@ import Foundation // CombinedGeometry: Geometry containing multiple children, e.g. Union, Difference, MinkowskiSum // TransformedGeometry: Single-child wrapper that applies a transform, e.g. Rotate, Translate // WrappedGeometry: Generic single-child wrapper +// ExtrusionGeometry: 3D wrapper for 2D child // Shape: User-facing /// Two-dimensional geometry. diff --git a/Sources/SwiftSCAD/Geometry/Protocols/LeafGeometry.swift b/Sources/SwiftSCAD/Geometry/Protocols/LeafGeometry.swift index 8d2a9f3..b34f4a8 100644 --- a/Sources/SwiftSCAD/Geometry/Protocols/LeafGeometry.swift +++ b/Sources/SwiftSCAD/Geometry/Protocols/LeafGeometry.swift @@ -24,11 +24,17 @@ internal protocol LeafGeometry3D: Geometry3D { var moduleName: String { get } var moduleParameters: CodeFragment.Parameters { get } var boundary: Bounds { get } + var supportsPreviewConvexity: Bool { get } } extension LeafGeometry3D { public func codeFragment(in environment: Environment) -> CodeFragment { - .init(module: moduleName, parameters: moduleParameters, body: []) + var params = moduleParameters + if let convexity = environment.previewConvexity, supportsPreviewConvexity { + params["convexity"] = convexity + } + + return .init(module: moduleName, parameters: params, body: []) } public func elements(in environment: Environment) -> [ObjectIdentifier: any ResultElement] { @@ -38,4 +44,6 @@ extension LeafGeometry3D { public func boundary(in environment: Environment) -> Bounds { boundary } + + var supportsPreviewConvexity: Bool { false } } diff --git a/Sources/SwiftSCAD/Operations/Extrude/ExtrudePolygon.swift b/Sources/SwiftSCAD/Operations/Extrude/ExtrudePolygon.swift index 57d3d52..30abda7 100644 --- a/Sources/SwiftSCAD/Operations/Extrude/ExtrudePolygon.swift +++ b/Sources/SwiftSCAD/Operations/Extrude/ExtrudePolygon.swift @@ -1,7 +1,7 @@ import Foundation private extension Polyhedron { - init(extruding shape: Polygon, along path: [AffineTransform3D], convexity: Int, environment: Environment) { + init(extruding shape: Polygon, along path: [AffineTransform3D], environment: Environment) { struct Vertex: Hashable { let step: Int let pointIndex: Int @@ -21,7 +21,7 @@ private extension Polyhedron { let startFace = points.indices.map { Vertex(step: 0, pointIndex: $0) } let endFace = points.indices.reversed().map { Vertex(step: path.endIndex - 1, pointIndex: $0) } - self.init(faces: sideFaces + [startFace, endFace], convexity: convexity) { vertex in + self.init(faces: sideFaces + [startFace, endFace]) { vertex in path[vertex.step].apply(to: Vector3D(points[vertex.pointIndex])) } } @@ -33,18 +33,17 @@ public extension Polygon { /// - Parameters: /// - path: An array of affine transforms representing the path along which the polygon will be extruded. /// - steps: The number of steps to divide the interpolation between each pair of transforms in the `path`. Defaults to 1. - /// - convexity: The maximum number of surfaces a straight line can intersect the result. This helps OpenSCAD preview the geometry correctly, but has no effect on final rendering. /// /// - Returns: A 3D geometry resulting from extruding the polygon along the specified path. /// /// - Note: The `path` array must contain at least two transforms, and `steps` must be at least 1. - func extruded(along path: [AffineTransform3D], steps: Int = 1, convexity: Int = 2) -> any Geometry3D { + func extruded(along path: [AffineTransform3D], steps: Int = 1) -> any Geometry3D { readEnvironment { environment in let expandedPath = [path[0]] + path.paired().flatMap { t1, t2 in (1...steps).map { .linearInterpolation(t1, t2, factor: 1.0 / Double(steps) * Double($0)) } } - Polyhedron(extruding: self, along: expandedPath, convexity: convexity, environment: environment) + Polyhedron(extruding: self, along: expandedPath, environment: environment) } } @@ -53,12 +52,10 @@ public extension Polygon { /// - Parameters: /// - pitch: The Z distance between each turn of the helix /// - height: The total height of the helix - /// - convexity: The maximum number of surfaces a straight line can intersect the result. This helps OpenSCAD preview the geometry correctly, but has no effect on final rendering. func extrudedAlongHelix( pitch: Double, height: Double, - convexity: Int = 2, offset: ((Double) -> Double)? = nil ) -> any Geometry3D { readEnvironment { environment in @@ -74,7 +71,7 @@ public extension Polygon { .translated(z: z) } - self.extruded(along:path, convexity: convexity) + self.extruded(along:path) } } } diff --git a/Sources/SwiftSCAD/Operations/Extrude/ExtrudedAlong.swift b/Sources/SwiftSCAD/Operations/Extrude/ExtrudedAlong.swift index 19fb55e..f5afc50 100644 --- a/Sources/SwiftSCAD/Operations/Extrude/ExtrudedAlong.swift +++ b/Sources/SwiftSCAD/Operations/Extrude/ExtrudedAlong.swift @@ -9,9 +9,8 @@ public extension Geometry2D { /// /// - Parameters: /// - path: A 2D or 3D `BezierPath` representing the path along which to extrude the shape. - /// - convexity: The maximum number of surfaces a straight line can intersect the result. This helps OpenSCAD preview the geometry correctly, but has no effect on final rendering. - func extruded(along path: BezierPath, in range: ClosedRange? = nil, convexity: Int = 2) -> any Geometry3D { + func extruded(along path: BezierPath, in range: ClosedRange? = nil) -> any Geometry3D { path.readPoints(in: range) { rawPoints in let points = rawPoints.map(\.vector3D) let isClosed = points[0].distance(to: points.last!) < 0.0001 @@ -40,7 +39,7 @@ public extension Geometry2D { let long = 1000.0 for segment in segments { let distance = segment.origin.distance(to: segment.end) - self.extruded(height: distance + long * 2, convexity: convexity) + self.extruded(height: distance + long * 2) .translated(z: -long) .transformed(segment.originRotation) .translated(segment.origin) diff --git a/Sources/SwiftSCAD/Operations/Extrude/LinearExtrude.swift b/Sources/SwiftSCAD/Operations/Extrude/LinearExtrude.swift index 8e1ccf5..e40d326 100644 --- a/Sources/SwiftSCAD/Operations/Extrude/LinearExtrude.swift +++ b/Sources/SwiftSCAD/Operations/Extrude/LinearExtrude.swift @@ -1,29 +1,25 @@ import Foundation -struct LinearExtrude: Geometry3D { +struct LinearExtrude: ExtrusionGeometry { let body: any Geometry2D - let height: Double let twist: Angle? let scale: Vector2D - let convexity: Int - - func codeFragment(in environment: Environment) -> CodeFragment { - .init(module: "linear_extrude", parameters: [ - "height": height, - "twist": twist.map { -$0 } ?? 0°, - "scale": scale, - "convexity": convexity - ], body: [body.codeFragment(in: environment)]) - } - func boundary(in environment: Environment) -> Bounds { - body.boundary(in: environment) - .extruded(height: height, twist: twist ?? 0°, topScale: scale, facets: environment.facets) - } + let moduleName = "linear_extrude" + var moduleParameters: CodeFragment.Parameters {[ + "height": height, + "twist": twist.map { -$0 } ?? 0°, + "scale": scale, + ]} - func elements(in environment: Environment) -> [ObjectIdentifier: any ResultElement] { - body.elements(in: environment) + func boundary(for boundary2D: Boundary2D, facets: Environment.Facets) -> Boundary3D { + boundary2D.extruded( + height: height, + twist: twist ?? 0°, + topScale: scale, + facets: facets + ) } } @@ -33,8 +29,7 @@ public extension Geometry2D { /// - height: The height of the resulting geometry, in the Z axis /// - twist: The rotation of the top surface, gradually rotating the geometry around the Z axis, resulting in a twisted shape. Defaults to no twist. Note that the twist direction follows the right-hand rule, which is the opposite of OpenSCAD's behavior. /// - scale: The final scale at the top of the extruded shape. The geometry is scaled linearly from 1.0 at the bottom. - /// - convexity: The maximum number of surfaces a straight line can intersect the result. This helps OpenSCAD preview the geometry correctly, but has no effect on final rendering. - func extruded(height: Double, twist: Angle? = nil, scale: Vector2D = [1, 1], convexity: Int = 2) -> any Geometry3D { - LinearExtrude(body: self, height: height, twist: twist, scale: scale, convexity: convexity) + func extruded(height: Double, twist: Angle? = nil, scale: Vector2D = [1, 1]) -> any Geometry3D { + LinearExtrude(body: self, height: height, twist: twist, scale: scale) } } diff --git a/Sources/SwiftSCAD/Operations/Extrude/RotateExtrude.swift b/Sources/SwiftSCAD/Operations/Extrude/RotateExtrude.swift index bda01ff..a9f36e4 100644 --- a/Sources/SwiftSCAD/Operations/Extrude/RotateExtrude.swift +++ b/Sources/SwiftSCAD/Operations/Extrude/RotateExtrude.swift @@ -1,24 +1,16 @@ import Foundation -struct RotateExtrude: Geometry3D { +struct RotateExtrude: ExtrusionGeometry { let body: any Geometry2D let angle: Angle - let convexity: Int - func codeFragment(in environment: Environment) -> CodeFragment { - .init(module: "rotate_extrude", parameters: [ - "angle": angle, - "convexity": convexity - ], body: [body.codeFragment(in: environment)]) + let moduleName = "rotate_extrude" + var moduleParameters: CodeFragment.Parameters { + ["angle": angle] } - func boundary(in environment: Environment) -> Bounds { - body.boundary(in: environment) - .extruded(angle: angle, facets: environment.facets) - } - - func elements(in environment: Environment) -> [ObjectIdentifier: any ResultElement] { - body.elements(in: environment) + func boundary(for boundary2D: Boundary2D, facets: Environment.Facets) -> Boundary3D { + boundary2D.extruded(angle: angle, facets: facets) } } @@ -26,9 +18,8 @@ public extension Geometry2D { /// Extrude two-dimensional geometry around the Z axis, creating three-dimensional geometry /// - Parameters: /// - angles: The angle range in which to extrude. The resulting shape is formed around the Z axis in this range. - /// - convexity: The maximum number of surfaces a straight line can intersect the result. This helps OpenSCAD preview the geometry correctly, but has no effect on final rendering. - func extruded(angles: Range = 0°..<360°, convexity: Int = 2) -> any Geometry3D { - RotateExtrude(body: self, angle: angles.upperBound - angles.lowerBound, convexity: convexity) + func extruded(angles: Range = 0°..<360°) -> any Geometry3D { + RotateExtrude(body: self, angle: angles.upperBound - angles.lowerBound) .rotated(z: angles.lowerBound) } } diff --git a/Sources/SwiftSCAD/Operations/Import.swift b/Sources/SwiftSCAD/Operations/Import.swift index a788905..64d6c0f 100644 --- a/Sources/SwiftSCAD/Operations/Import.swift +++ b/Sources/SwiftSCAD/Operations/Import.swift @@ -1,10 +1,9 @@ import Foundation -// Import 2D content from external files +/// Import 2D content from external files public struct Import2D: LeafGeometry2D { let path: String let layer: String? - let convexity: Int let center: Bool /// Initializes a new `Import2D` instance for importing 2D geometries. @@ -15,11 +14,9 @@ public struct Import2D: LeafGeometry2D { /// - path: The file path to the 2D geometry to be imported. Paths are resolved relative to the .scad file if not absolute. /// - dxfLayer: Optionally specifies a layer to import from a DXF file. This parameter has no effect for SVG files. /// - center: Determines if the imported geometry should be centered around the origin. Defaults to `false`. - /// - convexity: The maximum number of surfaces a straight line can intersect the result. This helps OpenSCAD preview the geometry correctly, but has no effect on final rendering. - public init(path: String, dxfLayer: String? = nil, center: Bool = false, convexity: Int = 2) { + public init(path: String, dxfLayer: String? = nil, center: Bool = false) { self.path = (path as NSString).expandingTildeInPath self.layer = dxfLayer - self.convexity = convexity self.center = center } @@ -29,16 +26,14 @@ public struct Import2D: LeafGeometry2D { [ "file": path, "layer": layer, - "convexity": convexity, "center": center ] } } -// Import 3D content from external files +/// Import 3D content from external files public struct Import3D: LeafGeometry3D { let path: String - let convexity: Int /// Initializes a new `Import3D` instance for importing 3D models. /// @@ -46,18 +41,14 @@ public struct Import3D: LeafGeometry3D { /// /// - Parameters: /// - path: The file path to the 3D model to be imported. Paths are resolved relative to the .scad file if not absolute. - /// - convexity: The maximum number of surfaces a straight line can intersect the result. This helps OpenSCAD preview the geometry correctly, but has no effect on final rendering. - public init(path: String, convexity: Int = 2) { + public init(path: String) { self.path = (path as NSString).expandingTildeInPath - self.convexity = convexity } let boundary = Bounds.empty // We don't know this; the import is done by OpenSCAD let moduleName = "import" var moduleParameters: CodeFragment.Parameters { - [ - "file": path, - "convexity": convexity - ] + ["file": path] } + let supportsPreviewConvexity = true } diff --git a/Sources/SwiftSCAD/Operations/Offsetting/MinkowskiSum.swift b/Sources/SwiftSCAD/Operations/Offsetting/MinkowskiSum.swift index b355127..0871169 100644 --- a/Sources/SwiftSCAD/Operations/Offsetting/MinkowskiSum.swift +++ b/Sources/SwiftSCAD/Operations/Offsetting/MinkowskiSum.swift @@ -2,18 +2,15 @@ import Foundation fileprivate struct MinkowskiSum { let children: [V.Geometry] - let convexity: Int? let moduleName = "minkowski" let boundaryMergeStrategy = Boundary.MergeStrategy.minkowskiSum let combination = GeometryCombination.minkowskiSum - - var moduleParameters: CodeFragment.Parameters { - ["convexity": convexity] - } } extension MinkowskiSum: Geometry2D, CombinedGeometry2D {} -extension MinkowskiSum: Geometry3D, CombinedGeometry3D {} +extension MinkowskiSum: Geometry3D, CombinedGeometry3D { + var supportsPreviewConvexity: Bool { true } +} public extension Geometry2D { @@ -24,7 +21,7 @@ public extension Geometry2D { /// - Parameter adding: The 3D geometries to combine with this geometry. /// - Returns: A geometry representing the Minkowski sum func minkowskiSum(@GeometryBuilder2D adding other: () -> [any Geometry2D]) -> any Geometry2D { - MinkowskiSum(children: [self] + other(), convexity: nil) + MinkowskiSum(children: [self] + other()) } } @@ -35,7 +32,7 @@ public extension Geometry3D { /// /// - Parameter adding: The 3D geometries to combine with this geometry. /// - Returns: A geometry representing the Minkowski sum - func minkowskiSum(convexity: Int? = nil, @GeometryBuilder3D adding other: () -> [any Geometry3D]) -> any Geometry3D { - MinkowskiSum(children: [self] + other(), convexity: convexity) + func minkowskiSum(@GeometryBuilder3D adding other: () -> [any Geometry3D]) -> any Geometry3D { + MinkowskiSum(children: [self] + other()) } } diff --git a/Sources/SwiftSCAD/Shapes/3D/Polyhedron.swift b/Sources/SwiftSCAD/Shapes/3D/Polyhedron.swift index efd5645..5eb2808 100644 --- a/Sources/SwiftSCAD/Shapes/3D/Polyhedron.swift +++ b/Sources/SwiftSCAD/Shapes/3D/Polyhedron.swift @@ -8,41 +8,36 @@ import Collections public struct Polyhedron: LeafGeometry3D { let points: [Vector3D] let faces: [[Array.Index]] - let convexity: Int - internal init(points: [Vector3D], faces: [[Array.Index]], convexity: Int = 2) { + internal init(points: [Vector3D], faces: [[Array.Index]]) { assert(points.count >= 4, "At least four points are needed for a polyhedron") assert(faces.allSatisfy { $0.count >= 3 }, "Each face must contain at least three points") self.points = points self.faces = faces - self.convexity = convexity } let moduleName = "polyhedron" var moduleParameters: CodeFragment.Parameters { - [ - "points": points, - "faces": faces, - "convexity": convexity - ] + ["points": points, "faces": faces] } var boundary: Bounds { .points(points) } + + let supportsPreviewConvexity = true } public extension Polyhedron { /// Create a polyhedron from faces /// - Parameters: /// - faces: A list of faces made up of hashable keys representing points. Faces must cover the entire shape without any holes. - /// - convexity: The maximum number of surfaces a straight line can intersect the result. This helps OpenSCAD preview the geometry correctly, but has no effect on final rendering. /// - value: A closure that provides the concrete vector for a key /// init< Key: Hashable, Face: Sequence, FaceList: Sequence - >(faces: FaceList, convexity: Int = 2, value: (Key) -> Vector3D) { + >(faces: FaceList, value: (Key) -> Vector3D) { var pointValues: [Vector3D] = [] let orderedKeys = OrderedSet(faces.joined()) let keyIndices: [Key: Int] = orderedKeys.reduce(into: [:]) { table, key in @@ -57,6 +52,6 @@ public extension Polyhedron { } return index } - }, convexity: convexity) + }) } } diff --git a/Tests/Tests/Examples.swift b/Tests/Tests/Examples.swift index b5a8252..2755134 100644 --- a/Tests/Tests/Examples.swift +++ b/Tests/Tests/Examples.swift @@ -60,7 +60,8 @@ struct ExampleTests { let geometry = Star(pointCount: 5, radius: 10, pointRadius: 1, centerSize: 4) .usingDefaultFacets() - .extruded(along: path, convexity: 4) + .extruded(along: path) + .withPreviewConvexity(4) .usingFacets(minAngle: 5°, minSize: 1) #expect(geometry.code == scadFile("example4")) diff --git a/Tests/Tests/SCAD/example2.scad b/Tests/Tests/SCAD/example2.scad index 2f2399f..62a1d4a 100644 --- a/Tests/Tests/SCAD/example2.scad +++ b/Tests/Tests/SCAD/example2.scad @@ -1 +1 @@ -let($fa=2.000000, $fn=0, $fs=0.150000) difference() { linear_extrude(convexity=2, height=5.000000, scale=[1.000000, 1.000000], twist=20.000000) offset(r=-1.000000) offset(delta=1.000000) offset(r=1.000000) offset(delta=-1.000000) union() { rotate(a=0.000000) scale(v=[2.000000, 1.000000]) translate(v=[2.000000, 0.000000]) let($fn=3) circle(d=10.000000); rotate(a=72.000000) scale(v=[2.000000, 1.000000]) translate(v=[2.000000, 0.000000]) let($fn=3) circle(d=10.000000); rotate(a=144.000000) scale(v=[2.000000, 1.000000]) translate(v=[2.000000, 0.000000]) let($fn=3) circle(d=10.000000); rotate(a=216.000000) scale(v=[2.000000, 1.000000]) translate(v=[2.000000, 0.000000]) let($fn=3) circle(d=10.000000); rotate(a=288.000000) scale(v=[2.000000, 1.000000]) translate(v=[2.000000, 0.000000]) let($fn=3) circle(d=10.000000); } #rotate(a=[20.000000, 0.000000, 0.000000]) translate(v=[0.000000, 2.000000, -7.000000]) cylinder(d1=1.000000, d2=5.000000, h=20.000000); } +let($fa=2.000000, $fn=0, $fs=0.150000) difference() { linear_extrude(height=5.000000, scale=[1.000000, 1.000000], twist=20.000000) offset(r=-1.000000) offset(delta=1.000000) offset(r=1.000000) offset(delta=-1.000000) union() { rotate(a=0.000000) scale(v=[2.000000, 1.000000]) translate(v=[2.000000, 0.000000]) let($fn=3) circle(d=10.000000); rotate(a=72.000000) scale(v=[2.000000, 1.000000]) translate(v=[2.000000, 0.000000]) let($fn=3) circle(d=10.000000); rotate(a=144.000000) scale(v=[2.000000, 1.000000]) translate(v=[2.000000, 0.000000]) let($fn=3) circle(d=10.000000); rotate(a=216.000000) scale(v=[2.000000, 1.000000]) translate(v=[2.000000, 0.000000]) let($fn=3) circle(d=10.000000); rotate(a=288.000000) scale(v=[2.000000, 1.000000]) translate(v=[2.000000, 0.000000]) let($fn=3) circle(d=10.000000); } #rotate(a=[20.000000, 0.000000, 0.000000]) translate(v=[0.000000, 2.000000, -7.000000]) cylinder(d1=1.000000, d2=5.000000, h=20.000000); } diff --git a/Tests/Tests/SCAD/helix.scad b/Tests/Tests/SCAD/helix.scad index 4fdd918..7282b46 100644 --- a/Tests/Tests/SCAD/helix.scad +++ b/Tests/Tests/SCAD/helix.scad @@ -1 +1 @@ -let($fa=2.000000, $fn=0, $fs=0.150000) polyhedron(convexity=2, faces=[[0, 1, 2, 3], [3, 2, 4, 5], [5, 4, 1, 0], [1, 6, 7, 2], [2, 7, 8, 4], [4, 8, 6, 1], [6, 9, 10, 7], [7, 10, 11, 8], [8, 11, 9, 6], [9, 12, 13, 10], [10, 13, 14, 11], [11, 14, 12, 9], [12, 15, 16, 13], [13, 16, 17, 14], [14, 17, 15, 12], [15, 18, 19, 16], [16, 19, 20, 17], [17, 20, 18, 15], [18, 21, 22, 19], [19, 22, 23, 20], [20, 23, 21, 18], [21, 24, 25, 22], [22, 25, 26, 23], [23, 26, 24, 21], [24, 27, 28, 25], [25, 28, 29, 26], [26, 29, 27, 24], [27, 30, 31, 28], [28, 31, 32, 29], [29, 32, 30, 27], [30, 33, 34, 31], [31, 34, 35, 32], [32, 35, 33, 30], [33, 36, 37, 34], [34, 37, 38, 35], [35, 38, 36, 33], [36, 39, 40, 37], [37, 40, 41, 38], [38, 41, 39, 36], [39, 42, 43, 40], [40, 43, 44, 41], [41, 44, 42, 39], [42, 45, 46, 43], [43, 46, 47, 44], [44, 47, 45, 42], [45, 48, 49, 46], [46, 49, 50, 47], [47, 50, 48, 45], [48, 51, 52, 49], [49, 52, 53, 50], [50, 53, 51, 48], [51, 54, 55, 52], [52, 55, 56, 53], [53, 56, 54, 51], [54, 57, 58, 55], [55, 58, 59, 56], [56, 59, 57, 54], [57, 60, 61, 58], [58, 61, 62, 59], [59, 62, 60, 57], [60, 63, 64, 61], [61, 64, 65, 62], [62, 65, 63, 60], [63, 66, 67, 64], [64, 67, 68, 65], [65, 68, 66, 63], [66, 69, 70, 67], [67, 70, 71, 68], [68, 71, 69, 66], [69, 72, 73, 70], [70, 73, 74, 71], [71, 74, 72, 69], [72, 75, 76, 73], [73, 76, 77, 74], [74, 77, 75, 72], [75, 78, 79, 76], [76, 79, 80, 77], [77, 80, 78, 75], [78, 81, 82, 79], [79, 82, 83, 80], [80, 83, 81, 78], [81, 84, 85, 82], [82, 85, 86, 83], [83, 86, 84, 81], [84, 87, 88, 85], [85, 88, 89, 86], [86, 89, 87, 84], [87, 90, 91, 88], [88, 91, 92, 89], [89, 92, 90, 87], [90, 93, 94, 91], [91, 94, 95, 92], [92, 95, 93, 90], [93, 96, 97, 94], [94, 97, 98, 95], [95, 98, 96, 93], [96, 99, 100, 97], [97, 100, 101, 98], [98, 101, 99, 96], [99, 102, 103, 100], [100, 103, 104, 101], [101, 104, 102, 99], [102, 105, 106, 103], [103, 106, 107, 104], [104, 107, 105, 102], [105, 108, 109, 106], [106, 109, 110, 107], [107, 110, 108, 105], [108, 111, 112, 109], [109, 112, 113, 110], [110, 113, 111, 108], [111, 114, 115, 112], [112, 115, 116, 113], [113, 116, 114, 111], [114, 117, 118, 115], [115, 118, 119, 116], [116, 119, 117, 114], [117, 120, 121, 118], [118, 121, 122, 119], [119, 122, 120, 117], [120, 123, 124, 121], [121, 124, 125, 122], [122, 125, 123, 120], [123, 126, 127, 124], [124, 127, 128, 125], [125, 128, 126, 123], [126, 129, 130, 127], [127, 130, 131, 128], [128, 131, 129, 126], [129, 132, 133, 130], [130, 133, 134, 131], [131, 134, 132, 129], [132, 135, 136, 133], [133, 136, 137, 134], [134, 137, 135, 132], [135, 138, 139, 136], [136, 139, 140, 137], [137, 140, 138, 135], [138, 141, 142, 139], [139, 142, 143, 140], [140, 143, 141, 138], [141, 144, 145, 142], [142, 145, 146, 143], [143, 146, 144, 141], [144, 147, 148, 145], [145, 148, 149, 146], [146, 149, 147, 144], [147, 150, 151, 148], [148, 151, 152, 149], [149, 152, 150, 147], [150, 153, 154, 151], [151, 154, 155, 152], [152, 155, 153, 150], [153, 156, 157, 154], [154, 157, 158, 155], [155, 158, 156, 153], [156, 159, 160, 157], [157, 160, 161, 158], [158, 161, 159, 156], [159, 162, 163, 160], [160, 163, 164, 161], [161, 164, 162, 159], [162, 165, 166, 163], [163, 166, 167, 164], [164, 167, 165, 162], [165, 168, 169, 166], [166, 169, 170, 167], [167, 170, 168, 165], [168, 171, 172, 169], [169, 172, 173, 170], [170, 173, 171, 168], [171, 174, 175, 172], [172, 175, 176, 173], [173, 176, 174, 171], [174, 177, 178, 175], [175, 178, 179, 176], [176, 179, 177, 174], [177, 180, 181, 178], [178, 181, 182, 179], [179, 182, 180, 177], [180, 183, 184, 181], [181, 184, 185, 182], [182, 185, 183, 180], [183, 186, 187, 184], [184, 187, 188, 185], [185, 188, 186, 183], [186, 189, 190, 187], [187, 190, 191, 188], [188, 191, 189, 186], [189, 192, 193, 190], [190, 193, 194, 191], [191, 194, 192, 189], [192, 195, 196, 193], [193, 196, 197, 194], [194, 197, 195, 192], [195, 198, 199, 196], [196, 199, 200, 197], [197, 200, 198, 195], [198, 201, 202, 199], [199, 202, 203, 200], [200, 203, 201, 198], [201, 204, 205, 202], [202, 205, 206, 203], [203, 206, 204, 201], [204, 207, 208, 205], [205, 208, 209, 206], [206, 209, 207, 204], [207, 210, 211, 208], [208, 211, 212, 209], [209, 212, 210, 207], [210, 213, 214, 211], [211, 214, 215, 212], [212, 215, 213, 210], [213, 216, 217, 214], [214, 217, 218, 215], [215, 218, 216, 213], [216, 219, 220, 217], [217, 220, 221, 218], [218, 221, 219, 216], [219, 222, 223, 220], [220, 223, 224, 221], [221, 224, 222, 219], [222, 225, 226, 223], [223, 226, 227, 224], [224, 227, 225, 222], [225, 228, 229, 226], [226, 229, 230, 227], [227, 230, 228, 225], [228, 231, 232, 229], [229, 232, 233, 230], [230, 233, 231, 228], [231, 234, 235, 232], [232, 235, 236, 233], [233, 236, 234, 231], [234, 237, 238, 235], [235, 238, 239, 236], [236, 239, 237, 234], [237, 240, 241, 238], [238, 241, 242, 239], [239, 242, 240, 237], [240, 243, 244, 241], [241, 244, 245, 242], [242, 245, 243, 240], [243, 246, 247, 244], [244, 247, 248, 245], [245, 248, 246, 243], [246, 249, 250, 247], [247, 250, 251, 248], [248, 251, 249, 246], [249, 252, 253, 250], [250, 253, 254, 251], [251, 254, 252, 249], [252, 255, 256, 253], [253, 256, 257, 254], [254, 257, 255, 252], [255, 258, 259, 256], [256, 259, 260, 257], [257, 260, 258, 255], [258, 261, 262, 259], [259, 262, 263, 260], [260, 263, 261, 258], [261, 264, 265, 262], [262, 265, 266, 263], [263, 266, 264, 261], [264, 267, 268, 265], [265, 268, 269, 266], [266, 269, 267, 264], [267, 270, 271, 268], [268, 271, 272, 269], [269, 272, 270, 267], [270, 273, 274, 271], [271, 274, 275, 272], [272, 275, 273, 270], [273, 276, 277, 274], [274, 277, 278, 275], [275, 278, 276, 273], [276, 279, 280, 277], [277, 280, 281, 278], [278, 281, 279, 276], [279, 282, 283, 280], [280, 283, 284, 281], [281, 284, 282, 279], [282, 285, 286, 283], [283, 286, 287, 284], [284, 287, 285, 282], [285, 288, 289, 286], [286, 289, 290, 287], [287, 290, 288, 285], [288, 291, 292, 289], [289, 292, 293, 290], [290, 293, 291, 288], [291, 294, 295, 292], [292, 295, 296, 293], [293, 296, 294, 291], [294, 297, 298, 295], [295, 298, 299, 296], [296, 299, 297, 294], [297, 300, 301, 298], [298, 301, 302, 299], [299, 302, 300, 297], [300, 303, 304, 301], [301, 304, 305, 302], [302, 305, 303, 300], [303, 306, 307, 304], [304, 307, 308, 305], [305, 308, 306, 303], [306, 309, 310, 307], [307, 310, 311, 308], [308, 311, 309, 306], [309, 312, 313, 310], [310, 313, 314, 311], [311, 314, 312, 309], [312, 315, 316, 313], [313, 316, 317, 314], [314, 317, 315, 312], [315, 318, 319, 316], [316, 319, 320, 317], [317, 320, 318, 315], [318, 321, 322, 319], [319, 322, 323, 320], [320, 323, 321, 318], [321, 324, 325, 322], [322, 325, 326, 323], [323, 326, 324, 321], [324, 327, 328, 325], [325, 328, 329, 326], [326, 329, 327, 324], [327, 330, 331, 328], [328, 331, 332, 329], [329, 332, 330, 327], [330, 333, 334, 331], [331, 334, 335, 332], [332, 335, 333, 330], [333, 336, 337, 334], [334, 337, 338, 335], [335, 338, 336, 333], [336, 339, 340, 337], [337, 340, 341, 338], [338, 341, 339, 336], [339, 342, 343, 340], [340, 343, 344, 341], [341, 344, 342, 339], [342, 345, 346, 343], [343, 346, 347, 344], [344, 347, 345, 342], [345, 348, 349, 346], [346, 349, 350, 347], [347, 350, 348, 345], [348, 351, 352, 349], [349, 352, 353, 350], [350, 353, 351, 348], [351, 354, 355, 352], [352, 355, 356, 353], [353, 356, 354, 351], [354, 357, 358, 355], [355, 358, 359, 356], [356, 359, 357, 354], [357, 360, 361, 358], [358, 361, 362, 359], [359, 362, 360, 357], [360, 363, 364, 361], [361, 364, 365, 362], [362, 365, 363, 360], [363, 366, 367, 364], [364, 367, 368, 365], [365, 368, 366, 363], [366, 369, 370, 367], [367, 370, 371, 368], [368, 371, 369, 366], [369, 372, 373, 370], [370, 373, 374, 371], [371, 374, 372, 369], [372, 375, 376, 373], [373, 376, 377, 374], [374, 377, 375, 372], [375, 378, 379, 376], [376, 379, 380, 377], [377, 380, 378, 375], [378, 381, 382, 379], [379, 382, 383, 380], [380, 383, 381, 378], [381, 384, 385, 382], [382, 385, 386, 383], [383, 386, 384, 381], [384, 387, 388, 385], [385, 388, 389, 386], [386, 389, 387, 384], [387, 390, 391, 388], [388, 391, 392, 389], [389, 392, 390, 387], [390, 393, 394, 391], [391, 394, 395, 392], [392, 395, 393, 390], [393, 396, 397, 394], [394, 397, 398, 395], [395, 398, 396, 393], [396, 399, 400, 397], [397, 400, 401, 398], [398, 401, 399, 396], [399, 402, 403, 400], [400, 403, 404, 401], [401, 404, 402, 399], [402, 405, 406, 403], [403, 406, 407, 404], [404, 407, 405, 402], [405, 408, 409, 406], [406, 409, 410, 407], [407, 410, 408, 405], [408, 411, 412, 409], [409, 412, 413, 410], [410, 413, 411, 408], [411, 414, 415, 412], [412, 415, 416, 413], [413, 416, 414, 411], [414, 417, 418, 415], [415, 418, 419, 416], [416, 419, 417, 414], [417, 420, 421, 418], [418, 421, 422, 419], [419, 422, 420, 417], [420, 423, 424, 421], [421, 424, 425, 422], [422, 425, 423, 420], [423, 426, 427, 424], [424, 427, 428, 425], [425, 428, 426, 423], [426, 429, 430, 427], [427, 430, 431, 428], [428, 431, 429, 426], [429, 432, 433, 430], [430, 433, 434, 431], [431, 434, 432, 429], [432, 435, 436, 433], [433, 436, 437, 434], [434, 437, 435, 432], [435, 438, 439, 436], [436, 439, 440, 437], [437, 440, 438, 435], [438, 441, 442, 439], [439, 442, 443, 440], [440, 443, 441, 438], [441, 444, 445, 442], [442, 445, 446, 443], [443, 446, 444, 441], [444, 447, 448, 445], [445, 448, 449, 446], [446, 449, 447, 444], [447, 450, 451, 448], [448, 451, 452, 449], [449, 452, 450, 447], [450, 453, 454, 451], [451, 454, 455, 452], [452, 455, 453, 450], [453, 456, 457, 454], [454, 457, 458, 455], [455, 458, 456, 453], [456, 459, 460, 457], [457, 460, 461, 458], [458, 461, 459, 456], [459, 462, 463, 460], [460, 463, 464, 461], [461, 464, 462, 459], [462, 465, 466, 463], [463, 466, 467, 464], [464, 467, 465, 462], [465, 468, 469, 466], [466, 469, 470, 467], [467, 470, 468, 465], [468, 471, 472, 469], [469, 472, 473, 470], [470, 473, 471, 468], [471, 474, 475, 472], [472, 475, 476, 473], [473, 476, 474, 471], [474, 477, 478, 475], [475, 478, 479, 476], [476, 479, 477, 474], [477, 480, 481, 478], [478, 481, 482, 479], [479, 482, 480, 477], [480, 483, 484, 481], [481, 484, 485, 482], [482, 485, 483, 480], [483, 486, 487, 484], [484, 487, 488, 485], [485, 488, 486, 483], [486, 489, 490, 487], [487, 490, 491, 488], [488, 491, 489, 486], [489, 492, 493, 490], [490, 493, 494, 491], [491, 494, 492, 489], [492, 495, 496, 493], [493, 496, 497, 494], [494, 497, 495, 492], [495, 498, 499, 496], [496, 499, 500, 497], [497, 500, 498, 495], [498, 501, 502, 499], [499, 502, 503, 500], [500, 503, 501, 498], [501, 504, 505, 502], [502, 505, 506, 503], [503, 506, 504, 501], [504, 507, 508, 505], [505, 508, 509, 506], [506, 509, 507, 504], [507, 510, 511, 508], [508, 511, 512, 509], [509, 512, 510, 507], [510, 513, 514, 511], [511, 514, 515, 512], [512, 515, 513, 510], [513, 516, 517, 514], [514, 517, 518, 515], [515, 518, 516, 513], [516, 519, 520, 517], [517, 520, 521, 518], [518, 521, 519, 516], [519, 522, 523, 520], [520, 523, 524, 521], [521, 524, 522, 519], [522, 525, 526, 523], [523, 526, 527, 524], [524, 527, 525, 522], [525, 528, 529, 526], [526, 529, 530, 527], [527, 530, 528, 525], [528, 531, 532, 529], [529, 532, 533, 530], [530, 533, 531, 528], [531, 534, 535, 532], [532, 535, 536, 533], [533, 536, 534, 531], [534, 537, 538, 535], [535, 538, 539, 536], [536, 539, 537, 534], [537, 540, 541, 538], [538, 541, 542, 539], [539, 542, 540, 537], [540, 543, 544, 541], [541, 544, 545, 542], [542, 545, 543, 540], [543, 546, 547, 544], [544, 547, 548, 545], [545, 548, 546, 543], [546, 549, 550, 547], [547, 550, 551, 548], [548, 551, 549, 546], [549, 552, 553, 550], [550, 553, 554, 551], [551, 554, 552, 549], [552, 555, 556, 553], [553, 556, 557, 554], [554, 557, 555, 552], [555, 558, 559, 556], [556, 559, 560, 557], [557, 560, 558, 555], [558, 561, 562, 559], [559, 562, 563, 560], [560, 563, 561, 558], [561, 564, 565, 562], [562, 565, 566, 563], [563, 566, 564, 561], [564, 567, 568, 565], [565, 568, 569, 566], [566, 569, 567, 564], [567, 570, 571, 568], [568, 571, 572, 569], [569, 572, 570, 567], [570, 573, 574, 571], [571, 574, 575, 572], [572, 575, 573, 570], [573, 576, 577, 574], [574, 577, 578, 575], [575, 578, 576, 573], [576, 579, 580, 577], [577, 580, 581, 578], [578, 581, 579, 576], [579, 582, 583, 580], [580, 583, 584, 581], [581, 584, 582, 579], [582, 585, 586, 583], [583, 586, 587, 584], [584, 587, 585, 582], [585, 588, 589, 586], [586, 589, 590, 587], [587, 590, 588, 585], [588, 591, 592, 589], [589, 592, 593, 590], [590, 593, 591, 588], [591, 594, 595, 592], [592, 595, 596, 593], [593, 596, 594, 591], [594, 597, 598, 595], [595, 598, 599, 596], [596, 599, 597, 594], [597, 600, 601, 598], [598, 601, 602, 599], [599, 602, 600, 597], [600, 603, 604, 601], [601, 604, 605, 602], [602, 605, 603, 600], [603, 606, 607, 604], [604, 607, 608, 605], [605, 608, 606, 603], [606, 609, 610, 607], [607, 610, 611, 608], [608, 611, 609, 606], [609, 612, 613, 610], [610, 613, 614, 611], [611, 614, 612, 609], [612, 615, 616, 613], [613, 616, 617, 614], [614, 617, 615, 612], [615, 618, 619, 616], [616, 619, 620, 617], [617, 620, 618, 615], [618, 621, 622, 619], [619, 622, 623, 620], [620, 623, 621, 618], [621, 624, 625, 622], [622, 625, 626, 623], [623, 626, 624, 621], [624, 627, 628, 625], [625, 628, 629, 626], [626, 629, 627, 624], [627, 630, 631, 628], [628, 631, 632, 629], [629, 632, 630, 627], [630, 633, 634, 631], [631, 634, 635, 632], [632, 635, 633, 630], [633, 636, 637, 634], [634, 637, 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b/Tests/Tests/SCAD/rounded-box.scad index 0e50198..f769e0f 100644 --- a/Tests/Tests/SCAD/rounded-box.scad +++ b/Tests/Tests/SCAD/rounded-box.scad @@ -1 +1 @@ -let($fa=2.000000, $fn=0, $fs=0.150000) union() { translate(v=[0.000000, 0.000000, 0.000000]) intersection() { cube(size=[10.000000, 8.000000, 5.000000]); translate(v=[5.000000, 4.000000, 2.500000]) polyhedron(convexity=2, faces=[[0, 0, 1, 2], [2, 1, 3, 4], [4, 3, 5, 6], [6, 5, 7, 8], [8, 7, 9, 10], [10, 9, 11, 12], [12, 11, 13, 14], [14, 13, 15, 16], [16, 15, 17, 18], [18, 17, 19, 20], [20, 19, 21, 22], [22, 21, 23, 24], [24, 23, 25, 26], [26, 25, 27, 28], [28, 27, 29, 30], [30, 29, 31, 32], [32, 31, 33, 34], [34, 33, 35, 36], [36, 35, 37, 38], [38, 37, 39, 40], [40, 39, 41, 42], [42, 41, 43, 44], [44, 43, 45, 46], [46, 45, 47, 48], [48, 47, 49, 50], [50, 49, 51, 52], [52, 51, 53, 54], [54, 53, 55, 56], [56, 55, 57, 58], [58, 57, 59, 60], [60, 59, 61, 62], [62, 61, 63, 64], [64, 63, 65, 66], [66, 65, 67, 68], [68, 67, 69, 70], [70, 69, 71, 72], [72, 71, 73, 74], [74, 73, 75, 76], [76, 75, 77, 77], [0, 0, 78, 1], [1, 78, 79, 3], [3, 79, 80, 5], [5, 80, 81, 7], [7, 81, 82, 9], [9, 82, 83, 11], [11, 83, 84, 13], [13, 84, 85, 15], [15, 85, 86, 17], [17, 86, 87, 19], [19, 87, 88, 21], [21, 88, 89, 23], [23, 89, 90, 25], [25, 90, 91, 27], [27, 91, 92, 29], [29, 92, 93, 31], [31, 93, 94, 33], [33, 94, 95, 35], [35, 95, 96, 37], [37, 96, 97, 39], [39, 97, 98, 41], [41, 98, 99, 43], [43, 99, 100, 45], [45, 100, 101, 47], [47, 101, 102, 49], [49, 102, 103, 51], [51, 103, 104, 53], [53, 104, 105, 55], [55, 105, 106, 57], [57, 106, 107, 59], [59, 107, 108, 61], [61, 108, 109, 63], [63, 109, 110, 65], [65, 110, 111, 67], [67, 111, 112, 69], [69, 112, 113, 71], [71, 113, 114, 73], [73, 114, 115, 75], [75, 115, 77, 77], [0, 0, 116, 78], [78, 116, 117, 79], [79, 117, 118, 80], [80, 118, 119, 81], [81, 119, 120, 82], [82, 120, 121, 83], [83, 121, 122, 84], [84, 122, 123, 85], [85, 123, 124, 86], [86, 124, 125, 87], [87, 125, 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-2.001000, -1.855563], [4.355563, -2.001000, -1.972448], [4.229425, -2.001000, -2.079281], [4.094896, -2.001000, -2.175333], [3.952895, -2.001000, -2.259948], [3.804391, -2.001000, -2.332547], [3.650399, -2.001000, -2.392634], [3.491971, -2.001000, -2.439801], [3.330189, -2.001000, -2.473723], [3.166159, -2.001000, -2.494169]]); } translate(v=[11.000000, 0.000000, 0.000000]) let($fn=20) intersection() { cube(size=[10.000000, 8.000000, 5.000000]); translate(v=[5.000000, 4.000000, 2.500000]) polyhedron(convexity=2, faces=[[0, 0, 1, 2], [2, 1, 3, 4], [4, 3, 5, 6], [6, 5, 7, 8], [8, 7, 9, 10], [10, 9, 11, 12], [12, 11, 13, 14], [14, 13, 15, 16], [16, 15, 17, 17], [0, 0, 18, 1], [1, 18, 19, 3], [3, 19, 20, 5], [5, 20, 21, 7], [7, 21, 22, 9], [9, 22, 23, 11], [11, 23, 24, 13], [13, 24, 25, 15], [15, 25, 17, 17], [0, 0, 26, 18], [18, 26, 27, 19], [19, 27, 28, 20], [20, 28, 29, 21], [21, 29, 30, 22], [22, 30, 31, 23], [23, 31, 32, 24], [24, 32, 33, 25], [25, 33, 17, 17], [0, 0, 34, 26], [26, 34, 35, 27], [27, 35, 36, 28], [28, 36, 37, 29], [29, 37, 38, 30], [30, 38, 39, 31], [31, 39, 40, 32], [32, 40, 41, 33], [33, 41, 17, 17], [0, 42, 43, 34], [34, 43, 44, 35], [35, 44, 45, 36], [36, 45, 46, 37], [37, 46, 47, 38], [38, 47, 48, 39], [39, 48, 49, 40], [40, 49, 50, 41], [41, 50, 51, 17], [42, 42, 52, 43], [43, 52, 53, 44], [44, 53, 54, 45], [45, 54, 55, 46], [46, 55, 56, 47], [47, 56, 57, 48], [48, 57, 58, 49], [49, 58, 59, 50], [50, 59, 51, 51], [42, 42, 60, 52], [52, 60, 61, 53], [53, 61, 62, 54], [54, 62, 63, 55], [55, 63, 64, 56], [56, 64, 65, 57], [57, 65, 66, 58], [58, 66, 67, 59], [59, 67, 51, 51], [42, 42, 68, 60], [60, 68, 69, 61], [61, 69, 70, 62], [62, 70, 71, 63], [63, 71, 72, 64], [64, 72, 73, 65], [65, 73, 74, 66], [66, 74, 75, 67], [67, 75, 51, 51], [42, 42, 76, 68], [68, 76, 77, 69], [69, 77, 78, 70], [70, 78, 79, 71], [71, 79, 80, 72], [72, 80, 81, 73], [73, 81, 82, 74], [74, 82, 83, 75], [75, 83, 51, 51], [42, 84, 85, 76], [76, 85, 86, 77], [77, 86, 87, 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16, 17, 135], [126, 84, 42, 0], [17, 51, 93, 135]], points=[[3.001000, 2.001000, 2.501000], [3.708107, 2.293893, 2.348759], [3.766367, 2.001000, 2.348759], [4.307563, 2.542196, 1.915214], [4.415214, 2.001000, 1.915214], [4.708107, 2.708107, 1.266367], [4.848759, 2.001000, 1.266367], [4.848759, 2.766367, 0.501000], [5.001000, 2.001000, 0.501000], [4.848759, 2.766367, -0.501000], [5.001000, 2.001000, -0.501000], [4.708107, 2.708107, -1.266367], [4.848759, 2.001000, -1.266367], [4.307563, 2.542196, -1.915214], [4.415214, 2.001000, -1.915214], [3.708107, 2.293893, -2.348759], [3.766367, 2.001000, -2.348759], [3.001000, 2.001000, -2.501000], [3.542196, 2.542196, 2.348759], [4.001000, 3.001000, 1.915214], [4.307563, 3.307563, 1.266367], [4.415214, 3.415214, 0.501000], [4.415214, 3.415214, -0.501000], [4.307563, 3.307563, -1.266367], [4.001000, 3.001000, -1.915214], [3.542196, 2.542196, -2.348759], [3.293893, 2.708107, 2.348759], [3.542196, 3.307563, 1.915214], [3.708107, 3.708107, 1.266367], 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