Prompt

"Generate an image representing the Euclidean group, also known as the group of isometries of Euclidean space, acting on a 2D or 3D Euclidean space. Depict a combination of geometric transformations, including translations, rotations, reflections, and glide reflections, preserving the Euclidean distance. Incorporate visual elements that signify the group's properties, such as a grid or lattice undergoing these transformations. The style should be mathematical and abstract, using lines, shapes, and colors to convey the concepts of symmetry and transformation. The image should not include people or ambiguous representations."

Image by stabilityai/stable-diffusion-3.5-large-turbo