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.

Consumer Startup Metrics | Startup School

5 Morning Habits That Will Skyrocket Your Productivity

View All

AC analysis superposition

So in the last video, we talked about Oilers formula, and then we showed the expressions for how to extract a cosine and a sine from Oilers formula. We have a powerful set of expressions there for relating exponentials to sine waves. Now, I want to show …

Why Stupid People Get Lucky?

Statistically, your odds of winning the lottery are one in 292 million. This means you’ve got a 0.0000338 chance of winning the Powerball jackpot. To put this into perspective, you’ve got a one in one million two hundred and twenty-two thousand chance of …

A Tiny Killing Machine | Explorer

So how can this animal with such a minute brain have stereo vision, and how would you even test this? Vivic decided that the best way was to take the insect to a 3D action movie. Really, in order to see the movie, Vivic needs to make some very, very tiny …

Debris | Vocabulary | Khan Academy

Oh hello, word Smith! You’ve caught me at a bit of an awkward time. You see, I’ve just survived a storm at sea; there was a shipwreck, and I clung to a piece of debris like a barnacle. I floated ashore like a bug on a twig. I’ve got to do a word, don’t I…

Exploring Ciudad Perdida | Lost Cities With Albert Lin

[music playing] ALBERT LIN: It’s literally a city in the clouds. Maybe those Spanish stories weren’t just legends because that’s what a real lost city looks like. HELICOPTER PILOT: [inaudible] 1 0 1 2. ALBERT LIN: That’s Ciudad Perdida, the Lost City. …

Possession for words ending in “s” | The Apostrophe | Punctuation | Khan Academy

Hello Garans, hello Paige, hi David. So, we’re talking about possession for names or words ending in the letter S. So, there’s some confusion, I think, about what to do if you’ve got to make someone’s name possessive if their name ends in an S. Like, for …

Mirrors And The Fourth Dimension

More Articles