• ← TransformationFunction
• → Transpose

TranslationTransform

WMA link

TranslationTransform[v]

gives a TransformationFunction that translates points by vector v.

• • t = TranslationTransform[{x0, y0}]

• • t[{x, y}]

From Creating a Sierpinsky gasket with the missing triangles filled in:

• • Show[Graphics[Table[Polygon[TranslationTransform[{Sqrt[3] (i - j/2), 3 j/2}] /@ {{Sqrt[3]/2, -1/2}, {0, 1}, {-Sqrt[3]/2, -1/2}}], {i, 7}, {j, i}]]]