Is A 2-Sided Polygon Possible?

less than 1m read

·Nov 10, 2024

65, 4, 3, 2, 1. Why don't we ever learn about dgon and monogon? Well, it's because they're impossible, right? No real eyes realize that you and I walk around on Dion and monagons every day. But big flat tells us that two straight lines can only meet at no points, one point, or every point.

A Dion, a polygon where two straight lines meet at two points, that could only happen if the lines curve. Then, it wouldn't be a polygon. But what if the lines don't curve? What if instead the space they inhabit curves? This line is straight. A two-dimensional observer would agree that it never turns, but unbeknownst to them, the line does curve into a higher spatial dimension beyond their comprehension.

Add another straight line sharing those vertices, and you've got a spherical loon, and it's a true two-sided polygon. But it's only possible in spherical geometry. On top of that, the hemisphere you live on is a monogon, a one-sided polygon. Its one and only side is any spherically straight line you can draw on the globe: a great circle.

Drake Versus Sharks | Wicked Tuna

More problems with knowing the 'fundamental nature' of X

View All

"Why" - The Most Googled Questions of 2020

So, uh, 2020 happened. A year we’re all ready to leave behind; a year we’re all willing to forget and pretend just didn’t happen. Because let’s face it, it wasn’t a pretty one. In case you forgot, the year started out with looming threats of world war thr…

AMC TO $100,000 | What You MUST Know

What’s at Melbourne Capital? It’s Wall Street bets here. And before we start the video, we gotta grab some popcorn because before we go to the Moon, we gotta make a quick pit stop at the movie theater and talk about the insanity that is AMC. That’s right…

Electrolytic cells | Applications of thermodynamics | AP Chemistry | Khan Academy

Electrolytic cells use an electric current to drive a thermodynamically unfavorable reaction. Before we look at a diagram of an electrolytic cell, let’s look at the half reactions that will occur in the cell. In one half reaction, liquid sodium ions reac…

Behind the Scenes with Geoffrey Rush | Genius

[music playing] Hello, my name is Geoffrey Rush and I play Albert Einstein the older. I was four when Albert Einstein died. So everything I know about him is more from the legend that he became because he was almost like a cult figure in a way. Einstein …

Fourier coefficients for sine terms

Many videos ago we first looked at the idea of representing a periodic function as a set of weighted cosines and sines, as a sum, as the infinite sum of weighted cosines and sines. Then we did some work in order to get some basics in terms of some of the…

Revolving vs installment credit | Loans and debt | Financial literacy | Khan Academy

So, let’s talk about two very broad categories of loans. One is installment loans, and one is revolving loans or revolving credit. If we’re talking about installment loans or installment credit, that’s a situation where you’re borrowing one usually large…

Is A 2-Sided Polygon Possible?

More Articles