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Let p be an interior point of the disk, and let n be a multiple of 4 that is greater than or equal to 8. Form n sectors of the disk with equal angles by choosing an arbitrary line through p, rotating the line n / 2 − 1 times by an angle of 2 π / n radians, and slicing the disk on each of the resulting n / 2 lines.
Lisa Marie Piccirillo (born 1990 or 1991) [1] is an American mathematician who is the Sid W. Richardson Regents Chair in Mathematics at the University of Texas at Austin. [2] She works in the fields of geometry and low-dimensional topology .
In mathematics, a comma category (a special case being a slice category) is a construction in category theory. It provides another way of looking at morphisms : instead of simply relating objects of a category to one another, morphisms become objects in their own right.
In mathematics, the cake number, denoted by C n, is the maximum of the number of regions into which a 3-dimensional cube can be partitioned by exactly n planes. The cake number is so-called because one may imagine each partition of the cube by a plane as a slice made by a knife through a cube-shaped cake.
In mathematics, specifically in knot theory, the Conway knot (or Conway's knot) is a particular knot with 11 crossings, named after John Horton Conway. [1]It is related by mutation to the Kinoshita–Terasaka knot, [3] with which it shares the same Jones polynomial.
Slice, a region in Terry Pratchett's Discworld stories, see Discworld (world)#The Ramtops Slice, in lieu of "chapter", in Norman Lindsay's children's book The Magic Pudding In mathematics, science, and technology
A smooth slice disk in Morse position, showing minima, saddles and a maximum, and as an illustration a movie for the Kinoshita–Terasaka knot. A slice knot is a mathematical knot in 3-dimensional space that bounds an embedded disk in 4-dimensional space.
Every ribbon knot is known to be a slice knot. A famous open problem, posed by Ralph Fox and known as the slice-ribbon conjecture, asks if the converse is true: is every (smoothly) slice knot ribbon? Lisca (2007) showed that the conjecture is true for knots of bridge number two.
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