Manuals/calci/TORUS

TORUS (Radius,TubeRadius,w1)

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Radius} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle TubeRadius} are radius value of the circle.

Description

• This function shows the Torus for the given value.
• In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle TORUS (Radius,TubeRadius,w1)} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Radius} is the radius value of the bigger circle.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle TubeRadius} is the radius value of the smaller circle.
• A torus is a surface of revolution generated by revolving a circle in three dimensional space about an axis co planar with the circle. *If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution.
• For example of TORUS are rings, doughnuts, and bagels.
• A torus can be defined parametrically by:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x(\theta,\phi)=(R+rCos\theta)Cos\phi} where θ, φ are angles which make a full circle, so that their values start and end at the same point, R is the distance from the center of the tube to the center of the torus, r is the radius of the tube. R is known as the ""major radius"" and r is known as the ""minor radius"".[2] The ratio R divided by r is known as the ""aspect ratio"". The typical doughnut confectionery has an aspect ratio of about 3 to 2"