TORUS Meaning and
Definition
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A torus is a three-dimensional geometric shape characterized by a circular cross-section and a revolving sweep around an axis in space. It is a special type of surface in topology, commonly referred to as a doughnut shape due to its resemblance to the cross-section of a ring-shaped cake or doughnut. The term "torus" is derived from the Latin word "torus," meaning a rounded project or protuberance.
In mathematics and geometry, a torus can be expressed as a surface of revolution obtained by revolving a circle in three-dimensional space around an axis that does not intersect the circle. As a result, the torus is formed by a continuous curve that loops around itself, creating a solid shape with a hole in the center. The surface of a torus is connected and has no edges or corners.
A torus is defined by various parameters, including the radius of the tube, which represents the thickness of the donut's ring, and the radius of the revolving circle. These parameters determine the size and overall shape of the torus. Tori can also exhibit different topological properties, such as being non-orientable or having multiple holes.
The torus shape is not only found in mathematics but also represents an important concept in various fields, including physics, computer graphics, and architecture. It serves as a fundamental building block in many mathematical models and is frequently encountered in real-world objects or phenomena.
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1. A geometrical figure formed by the revolution of a circle round the base of any of its arcs; such is the convex molding at the base of a pillar. 2. A rounded swelling, such as that caused by a contracting muscle. 3. Tuber cinereum. 4. In botany, the base into which the parts of a single flower are inserted.
A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.
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In arch., a large moulding in the bases of columns, the profile of which is semicircular; in bot., the axis on which all the parts of the floral whorls within the calyx are seated.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
Common Misspellings for TORUS
Etymology of TORUS
The word "torus" has its origins in Latin. It comes from the Latin word "torus" which means a cushion or a couch. In ancient Roman architecture, a torus referred to a convex molding, often used as a decorative element on columns or as part of a base. Over time, the term torus has been adopted into other fields, such as geometry and mathematics, where it is used to describe a specific shape – a three-dimensional surface generated by revolving a circle in three-dimensional space.
Similar spelling words for TORUS
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