# Torus

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## torus

[′tȯr·əs]
(anatomy)
A rounded protuberance occurring on a body part.
(botany)
The thickened membrane closing a bordered pit.
(mathematics)
The surface of a doughnut-shaped object.
The topological space obtained by identifying the opposite sides of a rectangle.
The group which is the product of two circles.

## Torus

a geometric solid formed by the rotation of a circle about a line lying in the plane of the circle but not intersecting the circle (see Figure 1). A torus is shaped approximately like a doughnut or a life ring. If the radius of the rotating circle is r and

Figure 1

the distance from the center of the circle to the axis of rotation is a, then the area of the surface of the torus is 4π2ar and the volume of the torus is 2π2ar2. The term “torus” is also applied to the surface bounding such a solid.

## torus

torus molding
torus
A bold projecting molding, convex in shape, generally forming the lowest member of a base over the plinth.
References in periodicals archive ?
The ratings of Torus National reflect the explicit support provided by Torus Insurance (UK) Ltd (Torus UK), through the provision of a 65% whole account quota share agreement and aggregate stop loss protection, AM Best added.
Torus palatinusand torus mandibularis in edentulous patients.
The authors felt that the presence of torus thickenings would inhibit rupture of the aspirated pit membrane where it contacts the aperture and would inhibit spread of air embolisms.
However, mathematicians have found a way to conceptualize a completely uniform torus, in which each small patch of the torus has the same geometric structure as a flat piece of paper.
Wheeler (1983) observed that torus diameter is smaller than aperture diameter in Celtis reticulata.
Thus a knowledge of vesture structure and systematic occurrence as well as an understanding of the torus could be important to comprehending safety features in wood.
With all the essential folding completed, the ends can be glued together, starting with the tabs, to create the basic torus shape.
But a torus bubble has innumerable possible shapes, any one of which could possibly beat the standard double bubble.
One way to picture the situation is to think of a solid torus, or doughnut sh ape, made up of stretched rubber bands, each running once around the doughnut's hole.

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