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Recent questions tagged telegram-1509
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(chatquestion)...The process of generating primitive shapes in computer-aided design (CAD) software is often mathematical-based. Case in point: a torus surface (commonly known as the 'doughnut'). This has the shape and Cartesian equation as follows: (Jx² + y² – R)' + z² = r? Figure 1: Description of a torus surface (source: web resource) In CAD software, this surface is usually generated by the following procedures: (1) The values of major radius, R and minor radius, r are fixed by the user. (2) Revolve a point on the x-axis for one round until a circle (line) is formed. (3) Revolve the circle (line) for one round about the z-axis until the torus (surface) is formed. Figure 2: Common process flow of generating a torus surface 1 Question (a): [4 marks] With the introduction as a hint, parameterize a torus surface with two parameters, u and v. State the parameterization as x(u, v), y(u, v), z(u, v), along with the range of u and v.
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telegram-1509
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May 21, 2020
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balaji.thirumalai
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