Intersecting Planes

thingiverse

In my Multivariable Calculus class we discuss intersecting planes and intersecting surfaces multiple times throughout the course. This model has been extremely helpful when teaching new concepts, reviewing ideas, and answering questions. I needed a model where the planes were not orthogonal to each other, at right angles. This works well to demonstrate to 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. Approximately 197 x 198 x 160 mm in size. I printed this on its side, with vectors parallel to the print bed, using supports. Also see my Intersecting Surfaces and Quadric Surfaces Set models. More of my mathematical models can be found at Cults: https://cults3d.com/en/users/abbymath