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.

The Element That Could Kill Billions but Save Millions

Comparing animal and plant cells | Cells and organisms | Middle school biology | Khan Academy

View All

Taking and visualizing powers of a complex number | Precalculus | Khan Academy

We’re told to consider the complex number ( z ) is equal to negative one plus ( i ) times the square root of three. Find ( z ) to the fourth in polar and rectangular form. So pause this video and see if you can figure that out. All right, now let’s work …

Mohnish Pabrai: How to Find and Analyze an Investment (2021)

I put about 10% of the fund’s assets into Frontline, and in a few months, shipping rates started to go up. It went up to like $10 or $11 a share. I had a very nice gain in a relatively short period of time, and I exited Frontline, patted myself on the bac…

These Indoor Wildfires Help Engineers Study the Real Thing | National Geographic

Fire, especially wildfire, is a really complex phenomenon. I hear people talking about being able to control fire; I don’t think that’s something that will happen soon. But here we are, at least trying to understand fire. There are factors that affect fir…

15 Steps To Reinvent Yourself And Start Over

You know our time here is too short to live a life that you don’t like. So what’s your best option? Well, by the end of this video, you’ll have a game plan that you’ve been looking for. Your ability to live a life that you’re proud of depends on your unde…

Warren Buffett: How to Make Money During Inflation

Are you seeing signs of inflation beginning to increase? We’re seeing very substantial inflation. It’s very interesting. I mean, we’re raising prices, people are raising prices to us; it’s being accepted. I mean, inflation is a big concern for everyone ri…

Intermolecular forces and vapor pressure | Intermolecular forces | AP Chemistry | Khan Academy

So we have four different molecules here, and what I want you to think about is if you had a pure sample of each, which of those pure samples would have the highest boiling point, second highest, third highest, and fourth highest? Pause this video and try…

Mirrors And The Fourth Dimension

More Articles