Lesson plan

Solid sweep

The sweep S w of a solid S is defined as the solid created when a motion M is applied to a given solid. The solid S should be considered to be a set of points in the Euclidean space \mathbb{R}^3 . Then the solid S w which is generated by sweeping S over M will contain all the points over which the points of S have moved during the motion M. Solid sweeping which uses this process is employed in different fields, including the modelling of fillets and rounds, interference detection and the simulation of the numerical controlled machining process.

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Article summary

The sweep S w of a solid S is defined as the solid created when a motion M is applied to a given solid. The solid S should be considered to be a set of points in the Euclidean space \mathbb{R}^3 . Then the solid S w which is generated by sweeping S over M will contain all the points over which the points of S have moved during the motion M. Solid sweeping which uses this process is employed in different fields, including the modelling of fillets and rounds, interference detection and the simulation of the numerical controlled machining process.

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Discussion questions

  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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