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What is a toroid?

What is a toroid? Here are some definitions.

Noun
  1. (mathematics) A surface generated by a closed curve (especially a circle) rotating about, but not intersecting or containing, an axis in its own plane.
  2. A ring-shaped object whose surface is a torus.
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Examples
When stretched at fixed displacement, the toroid undergoes a transition from an ellipse to a tadpole regime.
The toroid adds additional optical power in the vertical direction to bring the two focal planes together.
It is an asymmetrical oval slice of toroid, tilted out of the ground towards the south to catch the sun's heat.
The structural role of the toroid was assumed to be a pier to which two bracelets are fixed by 12 connections.
The geometry of the house is based on that of an elliptical toroid.
By contrast, the central region of Macrobdella Hb contains a hexagonal toroid at a resolution of 4 nm.

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