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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
The geometry of the house is based on that of an elliptical toroid.
Here we examine this in detail, first looking at the case of a circular toroid deformed into an ellipse.
We then look at the case of a toroid compressed in the plane of the toroid.
It is an asymmetrical oval slice of toroid, tilted out of the ground towards the south to catch the sun's heat.
By contrast, the central region of Macrobdella Hb contains a hexagonal toroid at a resolution of 4 nm.
The structural role of the toroid was assumed to be a pier to which two bracelets are fixed by 12 connections.

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