### 4 videos in "Complex Numbers"

## Fibration Continued

Fibration Continued

1706 views, 1 rating - 00:15:14

Part of video series Complex Numbers and Fibration

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More on fibration and topology. This lesson focuses on the torus of revolution and families of circles on the torus.

- What are fibrations?
- What do rotations of circles and lines in 4-space look like?
- What do families of circles on the torus look like?
- What does a section of a torus intersected by a plane look like?
- What families of circles are created when a torus of revolution is intersected by a plane?
- What are Hopf circles?
- What are Hopf fibrations?
- What are cycloids?
- What happens when a torus is rotated in the 4th dimension?

This video continues the series on further dimensions, complex numbers, and fibrations. The images produced by such geometry is truly remarkable. The torus and topology is discussed in depth, including rotations in four dimensions and families of circles on the torus, created by cross-sectional slices from planes. An intriguing video to watch.