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A Möbius strip scarf made from crochet. Ideas from mathematics have been used as inspiration for fiber arts including quilt making, knitting, cross-stitch, crochet, embroidery and weaving. A wide range of mathematical concepts have been used as inspiration including topology, graph theory, number theory and algebra.
A three-dimensional model of a figure-eight knot.The figure-eight knot is a prime knot and has an Alexander–Briggs notation of 4 1.. Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling ...
0 1 knot/Unknot - a simple un-knotted closed loop; 3 1 knot/Trefoil knot - (2,3)-torus knot, the two loose ends of a common overhand knot joined together; 4 1 knot/Figure-eight knot (mathematics) - a prime knot with a crossing number four
Assuming the space is path-connected, free homotopy classes of free loops correspond to conjugacy classes in the fundamental group. Recently, interest in the space of all free loops has grown with the advent of string topology, i.e. the study of new algebraic structures on the homology of the free loop space.
NFL free agency officially starts at the beginning of the new league year. In 2025, the NFL league year begins on Wednesday, March 12 at 4 p.m. ET. However, there are a couple of notable important ...
In topology, a branch of mathematics, the loop space ΩX of a pointed topological space X is the space of (based) loops in X, i.e. continuous pointed maps from the pointed circle S 1 to X, equipped with the compact-open topology. Two loops can be multiplied by concatenation. With this operation, the loop space is an A ∞-space.
We tracked down the week's best deals at Amazon, including an iPad that's $100 off and a range of beauty products that are marked down.
Move over, Wordle, Connections and Mini Crossword—there's a new NYT word game in town! The New York Times' recent game, "Strands," is becoming more and more popular as another daily activity ...