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The 37 pages that link to Affine transformation, each with the reason it gives.

• Barycentric coordinatesRelated: Barycentric coordinates remain unchanged under affine transformations of the entire configuration.

• Conversion of unitsRelated: Temperature-scale changes include an offset and therefore are not pure scaling.

• Affine spaceRelated: Such maps preserve the structure defining an affine space.

• Vector graphicsRelated: Affine transforms move, rotate, and resize vector objects without changing their basic structure.

• Affine combinationRelated: Preservation of these combinations characterizes affine maps.

• Euclidean planeRelated: It describes many plane transformations used in graphics and geometry.

• ParallelogramRelated: Affine maps send parallelograms to parallelograms, even when lengths and angles change.

• Point (geometry)Related: It moves points while preserving affine relations such as collinearity.

• Sierpiński triangleRelated: Each recursive step uses scaled and translated copies of the original triangle.

• Inverse elementRelated: Invertible affine maps can be undone by their inverse transformations.

• Linear functionRelated: In one dimension, such transformations have the form x ↦ mx + b.

• Affine subspaceRelated: Affine transformations send affine subspaces to affine subspaces.

• Von Neumann–Morgenstern utility theoremRelated: Positive affine changes preserve expected-utility rankings and explain the representation’s uniqueness.

• D'Arcy Wentworth ThompsonRelated: Thompson’s transformation grids show how such mappings can relate animal forms.

• 2D computer graphicsRelated: It provides the standard operations for positioning and reshaping 2D graphics.

• Dittert conjectureRelated: Affine changes of coordinates relate simplex shapes while changing volume by a determinant factor.

• Geometry (configuration)Related: It describes stretching, shearing, and other changes that preserve affine structure.

• Monsky's theoremRelated: Affine changes of coordinates preserve the equal-area condition up to a common factor.

• Pohlke's theoremRelated: Parallel projection is affine, which explains why spatial frames can yield planar segment triples.