Update: How Should I Depict Tensors?

Joseph Mellor
6 min readMay 18

I only need to make a featured image before I can publish my next article. Unfortunately, I can’t find any depictions of tensors.

Before I get into my main topic, I want to announce that I’ve finally finished the Differential Forms arc (previously named the Mathematical Objects arc) by publishing The Generalized Stokes’ Theorem. (Click the link in the previous sentence if the one below gives you trouble.)

It has a lot of my best artwork, so make sure to check it out.

Furthermore, I’ve also decided to start a new arc in which we’ll analyze some of the major tensors in Classical Mechanics other than Differential Forms, which I’ll call the Tensors in Classical Mechanics arc. Now, you might be worried that I’m increasing the amount on my plate, but I’ve already written half the articles. To understand why and how, here’s the writing process for any of my series:

  • Write an article on a single topic.
  • Realize that I need to explain the topic more in-depth.
  • Split that article into multiple parts.
  • Repeat until I don’t need to split articles.

I can’t exactly predict what I’m going to write about and I need to reorder articles frequently, but it also means that I can cover topics to the required depth even if it messes with the flow of the series. In some cases, it’s quite nice because I’ll already have articles written by the time I catch up to them. The first article in the Tensors in Classical Mechanics is one of those cases. I’ve had most of that article written months ago, but I couldn’t publish it until I got through the Differential Forms articles. So why haven’t I published it yet?

I Don’t Know How to Depict Tensors

Joseph Mellor

BS in Physics, Math, and CS with a minor in High-Performance Computing. You can find all my articles at https://josephmellor.xyz/articles/.