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.

Bringing Life-Changing Treatments to the Blind in India | National Geographic

15 Steps to Reinvent Yourself and Start Over

View All

Where We Are in the Big Cycle of Money, Credit, Debt, and Economic Activity

There’s a cycle. Um, there’s a short-term money credit debt market economic cycle we call it the business cycle also. What happens is, you know, you go from a recession, go to slow inflation. Uh, is low central banks, uh, produce a lot of money and credi…

Calculating velocity using energy | Modeling Energy | High School Physics | Khan Academy

So we have a spring here that has a spring constant of 4 newtons per meter. What we then do is take a 10 gram mass and we put it on top of the spring, and we push down to compress the spring by 10 centimeters. We then let go, and what I’m curious about is…

Probability with combinations example: choosing groups | Probability & combinatorics

We’re told that Kyra works on a team of 13 total people. Her manager is randomly selecting three members from her team to represent the company at a conference. What is the probability that Kyra is chosen for the conference? Pause this video and see if yo…

LearnStorm 2022

Hi teachers, Sal Khan here from Khan Academy. I just wanted to remind you that LearnStorm is back and better than ever. In case you’re wondering why you should use LearnStorm or the LearnStorm tracker, we just have to remember what it’s like to be a lear…

See Whales, the Northern Lights, and Norway’s Pristine Beauty | Short Film Showcase

Refused to actually take a pin and rotate that pin on a piece of cotton around the position of Trump, sir. Then you’re closer to the North Pole than you are. Though the landscape of northern Norway is pristine and beautiful, it’s probably one of my favor…

Comparing fractions with the same denominator | Math | 3rd grade | Khan Academy

Let’s compare ( \frac{2}{4} ) and ( \frac{3}{4} ). First, let’s think about what these fractions mean. ( \frac{2}{4} ) means we have some whole and we’ve split it into four equal size pieces, and we get two of those pieces. Maybe we could think about pizz…

Mirrors And The Fourth Dimension

More Articles