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A young boy wearing a dunce cap in class, from a staged photo c. 1906 1828 engraving showing a boy standing on a stool wearing a dunce cap with the ears of an ass. A dunce cap, also variously known as a dunce hat, dunce's cap or dunce's hat, is a pointed hat, formerly used as an article of discipline in schools in Europe and the United States—especially in the 19th and early 20th centuries ...
In topology, the dunce hat is a compact topological space formed by taking a solid triangle and gluing all three sides together, with the orientation of one side reversed. Simply gluing two sides oriented in the opposite direction would yield a cone much like the dunce cap , but the gluing of the third side results in identifying the base of ...
The Three Dunce Caps Theorem then says that P 1, P 2, and P 3 all lie on the same line. [4] Proof: Construct a sphere on top of each circle and then construct a plane tangent to these three spheres. The plane intersects the plane that the circles lies on at a straight line containing P 1, P 2, and P 3. These points are also the centers of ...
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Furhermore, Munkres pp. 443 gives the definition of the n-fold dunce cap as the quotient space of the unit 2-ball under the equivalence relation defined by identifying each point of the boundary (circle) with those points that are rotations of the original point by an integer multiple of 2pi/n radians.
Cap product; Cartan model; Categorification; Category of compactly generated weak Hausdorff spaces; Čech complex; Chain (algebraic topology) Change of fiber; Chern–Simons form; Classifying space; Classifying space for O(n) Classifying space for SO(n) Classifying space for SU(n) Clique complex; Cobordism; Cobordism ring; Cocycle; Cocycle ...
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A Maryland man was arrested after authorities allege he admitted to killing his girlfriend, who had been missing. On Sunday, Jan. 19, police investigating the disappearance of 29-year-old Alexis ...