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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 structural role of the toroid was assumed to be a pier to which two bracelets are fixed by 12 connections.
By contrast, the central region of Macrobdella Hb contains a hexagonal toroid at a resolution of 4 nm.
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.
The roof shapes are engaging, seemingly free-form, but are actually segments of a toroid.
Here we examine this in detail, first looking at the case of a circular toroid deformed into an ellipse.

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