Rational Tangle Fibration

Here’s a couple of rational tangles with what one might consider a fibration. They’re actually homeomorphic. One’s got an extra half twist to it.

Through the double branched cover, we get the fibration of the solid torus by disks.

Here’s a few more views of these.

Simple as they are, there’s a pleasant rhythm.

There are a couple more on the Flickr (just click any of these pics). You have to view the “original” size for the gifs to animate.

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~ by Ken Baker on June 6, 2011.