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cos(pi/(32)) = 1/2sqrt(2+sqrt(2+sqrt(2+sqrt(2)))) (1) cos((3pi)/(32)) = 1/2sqrt(2+sqrt(2+sqrt(2-sqrt(2)))) (2) cos((5pi)/(32)) = 1/2sqrt(2+sqrt(2-sqrt(2-sqrt(2)))) (3) ...
The triquetra is a geometric figure consisting of three mutually intersecting vesica piscis lens shapes, as illustrated above. The central region common to all three lenses ...
A bundle or fiber bundle is trivial if it is isomorphic to the cross product of the base space and a fiber.
A tubular neighborhood of a submanifold N in M is an embedding of the normal bundle (nu_N) of N into M, i.e., f:nu_N->M, where the image of the zero section of the normal ...
Let a knot K be n-embeddable. Then its tunnel number is a knot invariant which is related to n.
An ultrametric is a metric which satisfies the following strengthened version of the triangle inequality, d(x,z)<=max(d(x,y),d(y,z)) for all x,y,z. At least two of d(x,y), ...
The ultraradical symbol is a notation thet can be used to express solutions not obtainable by finite root extraction. The solution to the irreducible quintic equation x^5+x=a ...
An umbilic point, also called simply an umbilic, is a point on a surface at which the curvature is the same in any direction.
A parallelogram (parallelepiped) containing the minimum repeatable elements of a circle (sphere) packing.
Involving one variable, as opposed to two (bivariate) or many (multivariate).
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