# Transform3DProtocol A set of methods that are common to transforms. ``` protocol Transform3DProtocol : SpatialTypeProtocol ``` ## Topics ### Initializers [`init(rotation: Self.Rotation)`](/documentation/Spatial/Transform3DProtocol/init(rotation:)) Returns a new rotation transform. [`init(scale: Self.Size)`](/documentation/Spatial/Transform3DProtocol/init(scale:)) Returns a new scale transform. [`init(scale: Self.Size, rotation: Self.Rotation, translation: Self.Vector)`](/documentation/Spatial/Transform3DProtocol/init(scale:rotation:translation:)) Returns a new scale, rotate, translate transform. [`init(shear: Self.AxisEnumeration)`](/documentation/Spatial/Transform3DProtocol/init(shear:)) Returns a new shear transform [`init(translation: Self.Vector)`](/documentation/Spatial/Transform3DProtocol/init(translation:)) Returns a new translate transform. ### Instance Properties [`var inverse: Self?`](/documentation/Spatial/Transform3DProtocol/inverse) Returns a transform that’s constructed by inverting an existing transform. [`var isIdentity: Bool`](/documentation/Spatial/Transform3DProtocol/isIdentity) Returns `true` if the transform is the identity transform. [`var isRectilinear: Bool`](/documentation/Spatial/Transform3DProtocol/isRectilinear) Returns `true` if the transform is rectilinear. [`var isTranslation: Bool`](/documentation/Spatial/Transform3DProtocol/isTranslation) Returns `true` if the transform is a translation. [`var isUniform: Bool`](/documentation/Spatial/Transform3DProtocol/isUniform) Returns `true` if the transform is uniform over all dimensions. [`var rotation: Self.Rotation?`](/documentation/Spatial/Transform3DProtocol/rotation) The transform’s rotation. This is `nil` if the transform isn’t scale-rotate-translate. [`var translation: Self.Vector`](/documentation/Spatial/Transform3DProtocol/translation) The transform’s translation. ### Instance Methods [`func concatenating(Self) -> Self`](/documentation/Spatial/Transform3DProtocol/concatenating(_:)) Returns a transform that’s constructed by combining two existing transforms. [`func flip(along: Axis3D)`](/documentation/Spatial/Transform3DProtocol/flip(along:)) Flips the transform along the specified axis. [`func flipped(along: Axis3D) -> Self`](/documentation/Spatial/Transform3DProtocol/flipped(along:)) Returns the transform flipped along the specified axis. [`func isApproximatelyEqual(to: Self, tolerance: Self.Scalar) -> Bool`](/documentation/Spatial/Transform3DProtocol/isApproximatelyEqual(to:tolerance:)) Returns a Boolean value that indicates whether two transforms are equal within a specified tolerance. [`func isUniform(overDimensions: Dimension3DSet) -> Bool`](/documentation/Spatial/Transform3DProtocol/isUniform(overDimensions:)) Returns `true` if the transform is uniform over the specified dimensions. ### Type Properties [`static var identity: Self`](/documentation/Spatial/Transform3DProtocol/identity) Returns the identity transform. ## Relationships ### Conforming Types [`AffineTransform3DFloat`](/documentation/Spatial/AffineTransform3DFloat) [`AffineTransform3D`](/documentation/Spatial/AffineTransform3D) [`ProjectiveTransform3D`](/documentation/Spatial/ProjectiveTransform3D) [`ProjectiveTransform3DFloat`](/documentation/Spatial/ProjectiveTransform3DFloat) ### Inherits From [`Decodable`](/documentation/Swift/Decodable) [`Equatable`](/documentation/Swift/Equatable) [`SpatialTypeProtocol`](/documentation/Spatial/SpatialTypeProtocol) [`Encodable`](/documentation/Swift/Encodable) --- Copyright © 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)