Hi everyone. Sorry, but I’ve been at the Texas Undergraduate Geometry and Topology conference all weekend and I haven’t had time to write my blog post yet. I will post actual content as soon as I can, probably late tomorrow afternoon. In the meantime, I gave a talk on differential geometry at the conference! It’s not much of a consolation prize, but here are my slides from the talk.
Click to access TaleOfTwoArcLengths_animations_removed1.pdf
To better see the families of commensurate curves on various surfaces, we can animate our numerical integral as a function of the initial conditions. Here are some of the animations:
The Sphere
The Paraboloid
The Hyperbolic Plane
Okay. That’s all I have for now. If there’s demand, I’ll try and write more blog posts on geometry and describe this whole thing in a more accessible way.
Can you please write a blog post about this? I would love a more detailed explanation of what’s going on in these slides.
Sure! But it might take a while. I’m a bit too excited about gravitational waves at the moment. 🙂
(I’m also really busy.)