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  1. Dictionary
    Sphere
    /sfir/

    noun

    • 1. a round solid figure, or its surface, with every point on its surface equidistant from its center.
    • 2. an area of activity, interest, or expertise; a section of society or an aspect of life distinguished and unified by a particular characteristic: "political reforms to match those in the economic sphere" Similar domainrealmprovincefield

    verb

    • 1. enclose in or as if in a sphere: archaic "mourners, sphered by their dark garb"
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  3. 5 days ago · Dyson sphere variations, such as a Dyson swarm, could also emit IEEs. (Image credit: Getty Images) In a new study, published May 6 in the journal Monthly Notices of the Royal Astronomical Society, ...

  4. 1 day ago · Area = 4πr 2. This formula calculates the total area of the sphere’s surface, which is covered by points equidistant from its center. The surface area of a sphere is a fundamental quantity used in various mathematical and physical contexts, such as in geometry, physics, and engineering.

  5. 4 days ago · Homotopy groups of spheres. Illustration of how a 2-sphere can be wrapped twice around another 2-sphere. Edges should be identified. In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other. They are examples of topological invariants, which reflect, in ...

  6. 5 days ago · planet, (from Greek planētes, “wanderers”), broadly, any relatively large natural body that revolves in an orbit around the Sun or around some other star and that is not radiating energy from internal nuclear fusion reactions. In addition to the above description, some scientists impose additional constraints regarding characteristics such ...

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  7. en.wikipedia.org › wiki › PiPi - Wikipedia

    4 days ago · The volume of a sphere with radius r is 4 / 3 πr 3. The surface area of a sphere with radius r is 4πr 2. Some of the formulae above are special cases of the volume of the n-dimensional ball and the surface area of its boundary, the (n−1)-dimensional sphere, given below. Apart from circles, there are other curves of constant width.

  8. 4 days ago · Platonic solid. In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex.

  9. Basically teh question, I wonder if there is a way to define sines, cosines, etc... over the surface of say, a sphere, a torus, a cylinder...

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