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.

3d curl computation example

It’s True: Electric Eels Can Leap From the Water to Attack | National Geographic

View All

The derivative & tangent line equations | Derivatives introduction | AP Calculus AB | Khan Academy

We’re told that the tangent line to the graph of function at the point (2, 3) passes through the point (7, 6). Find f prime of 2. So whenever you see something like this, it doesn’t hurt to try to visualize it. You might want to draw it out or just visua…

Why Are You Alive – Life, Energy & ATP

At this very second, you are on a narrow ledge between life and death. You probably don’t feel it, but there’s an incredible amount of activity going on inside you, and this activity can never stop. Picture yourself as a Slinky falling down an escalator m…

Overview of ancient Persia | World History | Khan Academy

We’re going to do in this video is have an overview of one of the greatest empires and really civilizations of not only the ancient world but of the world. And that is Persia. We see a map here; this is the extent of the Persian Empire at around 500 BCE u…

IPFS, CoinList, and the Filecoin ICO with Juan Benet and Dalton Caldwell

Hey, this is Craig Cannon, and you’re listening to Y Combinator’s podcast. Today’s episode is with Dalton Caldwell, who’s a partner at YC and Wamba Net, who’s the founder of Protocol Labs, a YC company that’s working on IPFS, Filecoin, and CoinList. If y…

Compound interest: How to turn $1 into $10

What’s up you guys? It’s Graham here. Since today, I’m going to be telling you guys how to trim $1 into $10. And it’s not some stupid [ __ ] sales pitch. I’m not trying to get you to invest in some [ __ ] mother; I hate those people. So I’m not trying to …

The Egg - A Short Story

You were on your way home when you died. It was a car accident, nothing particularly remarkable, but fatal nonetheless. It was a painless death. The medics tried their best to save you, but to no avail. Your body was so utterly shattered you were better o…

Mirrors And The Fourth Dimension

More Articles