Investigating Escher's Knights Tessellation

① This example demonstrates how to construct an Escher-style knights tessellation using geometric transformations, filling the plane with repeated motifs through symmetry and repetition. ② Core mathematical concepts include plane tessellation, symmetry transformations, vector translation, rotation, reflection, and potential parameterization using exponential/logarithmic functions (as hinted by original tags). ③ Construction highlights: from the summary, GeoGebra commands such as Vector, Line, Rotate, Mirror, and Translate are used, with objects C, D, u, tr, ro, re, E, F, a, α, G, A, B, and multiple image1 copies created to generate the repeating pattern via transformation combinations. ④ Suitable for upper secondary or early university geometry and transformation lessons, as well as interdisciplinary art-math projects, helping students understand symmetry groups and tessellation principles.