Air–h2o interface dynamics and Electricity transition in air of a sphere handed vertically upward in the interface.

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In topology, the n-sphere is an illustration of a compact topological manifold without the need of boundary. A topological sphere needn't be easy; if it is clean, it needn't be diffeomorphic to the Euclidean sphere (an exotic sphere).

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When superhydrophobicity generally is a drag: Ventilated cavitation and splashing consequences in hydrofoil and speed-boat styles checks.

If a radius is extended through the center to the opposite side on the sphere, it produces a diameter. Like the radius, the size of the diameter is also referred to as the diameter, and denoted d.

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Diameters are the longest line segments that can be drawn amongst two details over the sphere: their length is twice the radius, d = 2r. Two factors over the sphere connected by a diameter are antipodal points of each other.[3]

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Archimedes wrote about the issue of dividing a sphere into segments whose volumes are inside a presented ratio, but didn't solve it. A solution through the parabola and hyperbola was given by Dionysodorus.

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