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3D Modelling/Mathematics

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Introduction

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Klein bottle - translucent

This page about 3D Modelling in Mathematics can be displayed as Wiki2Reveal slides. Single sections are regarded as slides and modifications on the slides will immediately affect the content of the slides. The following aspects of 3D Modelling in Mathematics are considered in detail:

  • (1) Image of 3D models,
  • (2) Animation of 3D models,
  • (3) STL models with the option to rotate the 3D object manually.

Example

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The following example of Klein bottleis a STL model that can be used to visualize surface in Mathematics[1]. The in Wikiversity learning resources can use 3D models to support spatial representation of

 
3D Models in Mathematics

Animation

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The 3D models can be used in conjunction with other options of visualization, like GIF animation showing the time evolution of the 3D surface.

 
Time evolution of a Klein figure in xyzt-space

Learning Tasks / Activities

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Identify different type of visualizations and compare them in terms of

  • benefits for the learner,
  • workload to create those visualizations,
  • use of 3D objects instead of 3D visualization (e.g. 3D printing[2])
  • benefits of Open Educational Resources for application in digital learning environments

Target Group

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The target groups for 3D Modelling/Mathematics of the learning resource are:

  • Bachelor/Master students mathematics,
  • Bachelor/Master students mathematics education

Learning Tasks / Activities

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Identify different type of visualizations and compare them in terms of

  • benefits for the learner,
  • workload to create those visualizations,
  • benefits of Open Educational Resources for application in digital learning environments


References

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  1. ↑ Polthier, K. (2003). Imaging maths-Inside the Klein bottle. online], URL: http://plus. maths. org/content/imaging-maths-inside-klein-bottle [cited 17 Jun. 2011].
  2. ↑ Sun, Y., & Li, Q. (2018, April). The application of 3D printing in STEM education. In 2018 IEEE international conference on applied system invention (ICASI) (pp. 1115-1118). IEEE.

See also

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Page Information

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