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Intersecting Planes

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Creation's quality: 5.0/5 (1 vote)
Evaluation of members on the printability, utility, level of detail, etc.
  • 743 views
  • 2 likes
  • 7 downloads

3D model description

In my Multivariable Calculus class we discuss intersecting planes and intersecting surfaces several times in the course. This model has been very useful when teaching new concepts, reviewing ideas, and answering questions.

I wanted something where the planes were not orthogonal (at right angles to each other.) This works well to show the class that the angle between the planes is equal to the angle between the corresponding normal vectors and that the direction of the line of intersection can be found using the cross product of the normal vectors. See screenshot.

The planes are rather thick since I needed a sturdy model of intersecting planes with their normal vectors. What I initially had broke apart quickly.

Designed with Mathematica.

Also see my Intersecting Surfaces and my Quadric Surfaces Set.

3D printing settings

Approximately 197 x 198 x 160 mm.

I printed this on its side (vectors parallel to the print bed) using supports.

  • 3D file format: STL

Tags

Creator

Designs 130
Downloads 2k
Sales US$475
Followers 68

I am a high school math teacher and 3D printing hobbyist. I have been 3D printing since 2017 and enjoy making things for my classes and my own children and home in San Diego, California, USA.

I have a 3D printing sub-site abbymath.com/3DPrinting. See my video on YouTube and my user story written and published by Simplify3D. I design with Mathematica, CorelDRAW, Fusion 360, and Tinkercad. I love my MakerGear M3-ID and my Palette 2S Pro. I have a Monoprice Mini as well.


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