VR plots

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You’ll make plots in 3D.

Imagine yourself as a “mathematician-for-hire” and that the MOOCULUS Virtual-Reality squad has hired you (for points, not cash) to build some VR demos. You will work in groups of four, where each group member is responsible for modeling a specific demo:

One group member will make a demo showing the intersection of two planes.
One group member will make a demo showing two circles (a great circle and a regular circle) on a sphere.
One group member will make a demo showing the intersection of a sphere and a plane.
One group member will make a demo showing two circles on a torus.

Finally, as a group, you must make a demo showing a möbius strip with a tube hovering above the side.

For extra credit, your group may submit a “creative” plot as well.