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All 8 transformations of an image under the dihedral group D4. Rotations by 90° are applied along the inner and outer circles. Reflections are applied along straight lines. (A) While the image is transformed, some properties, such as the teapot identity or color, are invariant with respect to the applied transformations. (B) Symmetric images are left invariant by some elements of D4, and modified by others.
