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A rhombitrihexagonal tiling: tiled floor in the Archeological Museum of Seville, Spain, using square, triangle, and hexagon prototiles Tessellation in two dimensions, also called planar tiling, is a topic in geometry that studies how shapes, known as tiles , can be arranged to fill a plane without any gaps, according to a given set of rules.
square with right half black ... up-pointing triangle with left half black:
The three basic styles of rallis are: 1) patchwork quilts made from pieces of cloth torn into squares and triangles and then stitched together, 2) appliqué quilts made from intricate cut-out patterns in a variety of shapes, and 3) embroidered quilts where the embroidery stitches form patterns on solid colored fabric.
An overlapping circles grid is a geometric pattern of repeating, overlapping circles of an equal radius in two-dimensional space.Commonly, designs are based on circles centered on triangles (with the simple, two circle form named vesica piscis) or on the square lattice pattern of points.
Kitchen kaleidoscope quilt block As quilts are made from square blocks (usually 9, 16, or 25 pieces to a block) with each smaller piece usually consisting of fabric triangles, the craft lends itself readily to the application of symmetry.
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English: A 6-equidissection of a square. There are six triangles, all of equal area; they fill the square without overlapping. The dissection is not simplicial, because the triangles that meet along the main SW-NE diagonal overhang each other without sharing a common edge. There are also simplicial n-equidissections of a square for all even n.
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