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Burkard Polster (born 26 February 1965 in Würzburg) is a German [2] mathematician who runs and presents the Mathologer channel on YouTube. [3] He is a professor of mathematics at Monash University in Melbourne, Australia. [4]
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 ...
In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined so it cannot be undone, the simplest knot being a ring (or " unknot ").
The art of crochet has been used to demonstrate hyperbolic planes (pictured above) with the first being made by Daina Taimiņa, [28] whose book Crocheting Adventures with Hyperbolic Planes won the 2009 Bookseller/Diagram Prize for Oddest Title of the Year. [39] HyperRogue is a roguelike game set on various tilings of the hyperbolic plane.
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
In arithmetic topology, there is an analogy between knots and prime numbers in which one considers links between primes. The triple of primes (13, 61, 937) are linked modulo 2 (the Rédei symbol is −1) but are pairwise unlinked modulo 2 (the Legendre symbols are all 1).
At The Little Nell, I had access to a free electric Audi Q8 e-tron car rental. The St. Regis Hotel also had a daily Champagne-sabering ceremony. A champagne-saber ceremony at the Chelsea Flower ...
In differential topology: Let and be smooth manifolds and : be a smooth map. Then f {\displaystyle f} is called an immersion if its derivative is everywhere injective. An embedding , or a smooth embedding , is defined to be an immersion that is an embedding in the topological sense mentioned above (i.e. homeomorphism onto its image).