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TRIANGULAR TRIANGLE
 
ANTIQUE GEOMETRIC QUILT DESIGNS * TRIANGULAR TRIANGLE(S)
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Quilt Notes: TRIANGULAR TRIANGLE(S), a four-patch block, is illustrated in Maggie Malone's 5,500 Quilt Block Designs: the illustration right reverses the standard light background to dark. Malone credits the design to the Ladies Art Company catalogue (#103), which began publishing quilt patterns in the late 19th century. Brackman's ENCYCLOPEDIA OF PIECED QUILT PATTERNS (#202) dates the earliest example (in quiltdom), to "1865, Haders/Warner, p.98." The design has an exquisite mathematical beauty and seems to work well with a precise fabric print and clear solids, or with a counterpoint of stained fabrics or batiks. (compare with RED SHIELDS and 1,000 PYRAMIDS)

Sierpinski Fractal, Wikipedia

TRIANGULAR TRIANGLE is also classified as a fractal called the Sierpinski Triangle, first described by the mathematician Waclaw Sierpinski in 1913. However according to Wikipedia, similar patterns appear already in the 13th-century Cosmati mosaics in the cathedral at Anagni, Italy. As the animation (from Wikipedia Commons) indicates, it is possible to embed this set of triangles within itself over and over to infinity. For more animated fractals at this site see PATIENCE CORNERS and SEVEN STARS / SEVEN SISTERS.
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