Mirrors And The Fourth Dimension

less than 1m read

·Nov 10, 2024

Mirrors do not show us a fourth dimension, but they do show us what a fourth dimension could do to us. First, notice that some things are the same as their mirror image, but some things are not. These two shapes are similar, but they cannot be rotated to look identical, to be superimposable on each other. This is called being chiral.

A chiral shape and its mirror image are called anatomorphs. These two shapes are anatomorphs in two dimensions. No amount of two-dimensional rotations will ever make them superimposable. To do that, I'll need to smash one of them inside out, turn it into its own mirror image, or rotate it in a third, higher dimension.

If I place a sticker here and face that side away from me, notice that the mirror inverts the object, just like a rotation through a higher dimension. The side of the real object that's furthest from me becomes the side of the virtual object that's closest to me. So, what would I look like if I was rotated around a plane in a fourth spatial dimension and then brought back? I would look like that.

Worked examples: finite geometric series | High School Math | Khan Academy

How optimizing my sleep is making me limitless

View All

Ray Dalio on THE DEBT CYCLES

In these cycles, there are short-term cycles that build up to create a long-term cycle. So, uh, for example, we’re used to, uh, what’s commonly called the business cycle or the short-term debt cycle, in which there’s a recession when economic weakness and…

Underwater Cave Diving | Best Job Ever

When you tell people that you do tape tiling, they say, “Oh, you must be an adrenaline junkie!” But in fact, it’s the exact opposite. When I get underground and underwater, it’s a hundred percent focus, and all you hear is really the sound of your own bre…

Danny Trejo Ziplines Down a Cliff | Running Wild with Bear Grylls

Soon your weight is going to come onto your rope above you. Keep walking it back. OK, and now just enjoy the ride. Here you go. Keep pulling back. Try and get your feet down when you can, Danny. Whoa! Uh! Ahh! Ah. OK, we need to move fast. [bleep] I’m c…

Female Founders Conference - New York

[Applause] [Applause] [Applause] [Applause] [Applause] [Music] [Applause] Okay, let’s see here. Hi, hi everyone! Good afternoon! I think we’ll get started. You’re nice and cool inside, thank goodness. I lived in New York more than 20 years ago at this poi…

Daily Homeroom: Congratulations Class of 2020!

Hi everyone! Welcome to Khan Academy’s daily homeroom live stream. For those of you all who do not know what this is, this is something that we thought of when we started seeing mass school closures. We know that people are going to be at home, socially d…

5 BIG Investing Mistakes to Avoid | Stock Market Red Flags

Hey guys! Welcome back to the channel. In this video, we are going to be talking about five really major red flags that you should always be watching out for and avoid companies that show any of these signs. You do not want to invest in any companies that…

Mirrors And The Fourth Dimension

More Articles