Wallpaper group p4m

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A Set of 17 Things Represents All Wallpaper Groups Designed for Learning About Symmetry. "A wallpaper group is a mathematical classification of a two-dimensional repetitive pattern based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art, especially in textiles and tiles as well as wallpaper." https://en.wikipedia.org/wiki/Wallpaper_group This Set Includes Tiles for Creating Patterns with the Appropriate Symmetry. Tiles have an embossed swirl pattern that is helpful for observing rotation, translation, reflections, and glide planes. Straight edges indicate mirror symmetry. Files: p4m-cutout.stl - The asymmetric unit. p4m-cutout-swirl.stl - An optional insert for the asymmetric unit. p4m-cutout-m.stl - A mirror image of the asymmetric unit. p4m-cutout-swirl-m.stl - An optional insert for the mirror image asymmetric unit. The Figure Shows the Symmetry Elements for This Group. OpenSCAD files are available upon request. Wallpaper group p4m has eight tiles per unit cell. The group p4m has two rotation centers of order four (90°), and reflections in four distinct directions (horizontal, vertical, and diagonals). It also has additional glide reflections whose axes are not reflection axes; rotations of order two (180°) are centered at the intersection of the glide reflection axes. All rotation centers lie on reflection axes. Orbifold signature: *442 Coxeter notation: [4,4] Lattice: square Point group: D4