# Challenge: Hopf Fibration using Julia

**URL:** <https://discourse.julialang.org/t/challenge-hopf-fibration-using-julia/17697>\
**Category:** Visualization\
**Created:** [November 19, 2018, 4:09am UTC](https://discourse.julialang.org/t/challenge-hopf-fibration-using-julia/17697 "2018-11-19T04:09:16Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![jandehaan](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/jandehaan/32/6805_2.png) [@jandehaan](https://discourse.julialang.org/u/jandehaan)\
**Post date:** [November 19, 2018, 4:09am UTC](https://discourse.julialang.org/t/challenge-hopf-fibration-using-julia/17697/1 "2018-11-19T04:09:16Z")

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If you are looking for a visualization challenge, try visualizing Hopf Fibrations.

Niles Johnson was able to do it using the free mathematics software Sage including the Tachyon ray tracer.  
[Visualization](https://youtu.be/AKotMPGFJYk) - [Lecture](https://youtu.be/QXDQsmL-8Us) - [web site](https://nilesjohnson.net/hopf.html)

Enjoy.

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**Author:** ![mkborregaard](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/mkborregaard/32/556_2.png) [@mkborregaard](https://discourse.julialang.org/u/mkborregaard)\
**Post date:** [November 19, 2018, 7:05am UTC](https://discourse.julialang.org/t/challenge-hopf-fibration-using-julia/17697/2 "2018-11-19T07:05:30Z")

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Wow that looks amazing 🙂

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**Author:** ![y4lu](https://avatars.discourse-cdn.com/v4/letter/y/47e85d/32.png) [@y4lu](https://discourse.julialang.org/u/y4lu)\
**Post date:** [November 19, 2018, 11:30am UTC](https://discourse.julialang.org/t/challenge-hopf-fibration-using-julia/17697/3 "2018-11-19T11:30:07Z")

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Very nice, and you could try non-flat circles too

Kind of on-track, but probably needs to layer a bunch of frames, [sample webm](https://webm.video/ccupRQ)