Jun 14, 2016 · The curve C=C_{1/8} is a convex curve, and the real points in the algebraic set defined by Q_{1/8}(x,y)=0 are exactly the points on the curve C.
A curve of constant width is a simple closed curve in the plane whose width (the distance between parallel supporting lines) is the same in all directions.
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A curve of constant width is usually assumed to be convex, although some non-convex cases also exhibit a special kind of “constant width”, as pointed out in [8] ...
The approaches towards curves of constant width in these references are analytic and algebraic in nature, and by no means, constructive or geometric. ... ...
The most commonly known curve of constant width is the circle, but there are actually an infinite number of these curves that can be created. Martin Gardner, ...
The algebraic equation of the constant width curve α can be obtained by computing the resultant of the polynomials ( 1 − s 2 ) ( a b + ( − 1 ) k T n ( s ) − ...
A curve of constant width (CCW) is a convex planar shape with the property that the distance between any two parallel tangents of the curve is constant. That is ...
The objective of this short paper is to provide an explicit method to compute the algebraic equation of any constant width curve or any Zindler curve ...
Oct 29, 2015 · There exist many algebraic surfaces of constant breadth with no continuous symmetries, even ones with no symmetries at all.
Apr 27, 2022 · Curves of constant width not only offer a deeply satisfying geometrical experience but they enjoy a wealth of real-world applications as well.