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Two dimensions--more to it than you'd think.
So. Flatland. Flatland is an imaginary world, imagined by the great imaginer Edwin Abbott Abbott (that's kind of an unimaginative name, though), who wrote a book called "Flatland" in order to explain the mathematical concepts of dimensions. It's a pretty good book. Check it out. Also, it's a romance. Oh yeah, and also, he wrote it in 1884.
Math is Hard
Let's break it down. Flatland is a two-dimensional universe in which women are line segments, soldiers are triangles, gentlemen are squares, and nobility are regular polygons. The ever-rare circles are part of the priesthood. Every thousand years, a sphere descends upon Flatland from the third dimension in order to educate an apostle about the reality of extra dimensions. Every freaks out, and the priests conduct purges and suppress the information. Cool story.
That's pretty much all you need to know for now, and I'm not going to ruin all the fun stuff for you. Really, you should just read it yourself. It's a pretty short book. We've got a copy here at the library that's only 124 pages long, and that's WITH illustrations, notes, and an introduction.
But Reading is Hard, Too!
Okay, okay, fine, I get it. You don't want to read the book. I'll make it easier for you. How about a comic strip? This excellent webcomic has a joke about Flatland that you might enjoy. Although, really, you'd probably enjoy it even more after you've actually read the book.
I Must Have Moving Pictures!
STILL too many words for you? Well, you're in luck! Because the Peninsula Library System is here for you! We have exactly what you need: a movie version of Flatland, called Flatland: The Movie! You are so very, very welcome. References to Flatland are more prevalent than you may have previously known. For instance, in Pulp Fiction when Uma Thurman and John Travolta are sitting in the car outside of a diner, Uma Thurman makes an explicit reference to Flatland.
The interesting thing is that when Abbott originally wrote Flatland, he used it to satirize the Victorian social mores that permeated the very world in which he lived, so when Uma Thurman calls John Travolta a "square" in this scene, she is actually, not-so-secretly, casting judgment upon his class and upbringing. How rude, Ms. Thurman!
This Moving Picture is a Real Horrorshow
I can only do so much more for you at this point. How about I point you in the direction of children's television programming. The PBS show "Arthur" has an episode called "Falafelosophy" in which a character writes her own story. Unfortunately for her, that story is suspiciously similar to Flatland, populated as it is by angry triangles and beleaguered circles.
But the episode is quickly redeemed by the fact that it guest-stars Neil Gaiman! Author of excellent books like Stardust, Coraline, American Gods, and the Sandman comic books!
So What Was the Point?
"The Square then has a dream in which the Sphere visits him again, this time to introduce him to Pointland. The point (sole inhabitant, monarch, and universe in one) perceives any attempt at communicating with him as simply being a thought originating in his own mind."
A regular Josh Pearce cannot be constructed using compass and straightedge.