Recently my friend Tina, who writes the blog Diotima’s Ladder, asked me if I could help her with a diagram for her novel. (Apparently all the math posts I’ve written gave her ideas about my math and geometry skills!)
What she was looking for involved Plato’s Divided Line, an analogy from his runaway bestseller, the Republic (see her post Plato’s Divided Line and Cave Allegory for an explanation; I’m not going to go into it much here). The goal is a geometric diagram proving that the middle two segments (of four) must be equal in length.
This post explores and explains what I came up with.
Because they are intended for mass consumption, there are few modern science fiction movies or TV shows that really hit the mark for me. 
Drat! A day late and a dollar short, as the saying goes. I started off this morning writing a post to commemorate the 2/22/22 date but quickly realized I’d need a time machine to pull that off. Between yesterday’s blizzard and working on an upcoming post about Plato and geometry, I lost track of the date (a peril of being retired — dates don’t matter much anymore).
I discovered, and become a huge fan of, 
Last year I kicked off the new year with 
Logos con carne 