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 Flow State: How to Supercharge Your Life

Linear equation word problems

View All

Ellipses | Punctuation | Khan Academy

Hello Garans, hello David, hello Paige. So, in this video, we’re going to talk about a piece of punctuation called the ellipsis, or ellipses in the plural form, as we have here. So, what is an ellipsis? An ellipsis is a punctuation mark that is actually …

Directional derivative, formal definition

So I have written here the formal definition for the partial derivative of a two-variable function with respect to X. What I want to do is build up to the formal definition of the directional derivative of that same function in the direction of some vecto…

HOW TO STAY CALM & POSITIVE IN LIFE | MARCUS AURELIUS | STOICISM INSIGHTS

It’s difficult to realize that nearly 2,000 years ago, a Roman emperor confronted many of the same issues that we do today. Marcus Aurelius, a Stoic philosopher and statesman, struggled with uncertainty, authority, and the enormous constraints of empire. …

Inflection points (algebraic) | AP Calculus AB | Khan Academy

Let G of x = 1⁄4 x^4 - 4x^3 + 24x^2. For what values of x does the graph of G have an inflection point or have a point of inflection? So, let’s just remind ourselves what a point of inflection is. A point of inflection is where we change our concavity, o…

The Bullet Block Experiment

Alright, here is the setup: I have a rifle mounted vertically and we’re going to shoot a bullet into this block, right into the middle of it. So obviously the block is going to go flying into the air. But we’re going to do this again and instead of firin…

Kids Learn Why Bees Are Awesome | National Geographic

Honeybees are our most efficient and effective pollinators, so they pollinate lots of fruits and vegetables. We’ve invited a classroom full of DC kids to come down here and put on the bee veil and a bee suit for protection. Uh, we’ll open up beehives and …

Mirrors And The Fourth Dimension

More Articles