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Play with Cayley Graph Visualizer!

Audience:

I wanted to share a visualizer for Cayley graphs that I am quite pleased with. Although I did not write it myself, it is fair use to explain concepts using it and teach people how to use it. I also wanted to share some "philosophy" about groups: as both a bunch of Nouns and a bunch of Verbs. Although I do not go into depth, hopefully I do explain enough that people understand (1) **how to use the visualizer** and (2) **how the nodes and edges are generated**, and take away some sense of how to (3) **see both Nouns and Verbs in the Cayley graphs**. I hope that even say middle schoolers can receive these 3 takeaways I intended for this video, even if some words are too advanced.

Analytics

3.88 Overall score*

154 Rank

7 Votes

3 Comments

Comments

3.9

I like the Noun-Verb-Explanation, and I haven’t seen such an interactive visualiser before. While I think the explanation lacks some structure, I think the 3 points do come across.

The interactive visualizer is cool, but I don’t think the video itself is very helpful… It’s a bit all over the place, repetitive, and it’s not clear who the target audience is or who would find it useful.

3.1

Explanations can slightly meander slightly. The visualization of the Cayley graph is nice and can be interesting to explore with something tied to it.

Probably better for undergrad audience once they have knowledge of some group theory to make sense of why this is good. It’d be good to ground this to an actual object and how we can encode it to give a sense of understanding.

Middle section on composition functions can be presented better. A bit hard to follow and keep track on what permutations correspond to blue/red. This can be drawn out in lines visually.

End section with the group action on the number line is a bit out of field and disjointed. I want to know how this relates back to the Cayley graph I’m seeing and how it connects together. It feels like the group action methodology can be tied there.