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.

Probability with combinations example: choosing cards | Probability & combinatorics

View All

Civil Rights and Civil Liberties - Course Trailer

The United States Declaration of Independence reads: “We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights.” That sounds great, but who does it apply to, and what a…

Regrouping to add 1-digit number | Addition and subtraction | 1st grade | Khan Academy

So, we have the number 35. The 3 is in the tens place, so it represents 30 or 3 tens—one 10, two groups of 10, three groups of 10. And then the 5 is in the ones place, so it represents five ones. We see them right over here—one, two, three, four, five. N…

15 Ways to Buy Back Your Freedom

Freedom is more than money, but money definitely contributes to you buying your freedom. The truth is, most people get it twisted: money doesn’t buy happiness, but neither does being broke. If you know how to use it, money buys freedom, and freedom gives …

The Sinking of the SS Athenia | WW2 Hell Under the Sea

NARRATOR: As the opening day of the Second World War fades, Lemp strains to identify the ship in front of him. CHRISTIAN JENTZSCH: It’s behaving, in his opinion, like an auxiliary cruiser because it’s zig-zagging and it’s blacked out. And he even imagine…

Multiply monomials by polynomials: Area model | Algebra 1 | Khan Academy

We are told a rectangle has a height of five and a width of three x squared minus x plus two. Then we’re told to express the area of the entire rectangle, and the expression should be expanded. So pause this video and see if you can work through this. Al…

Bringing Power to Villages | Years of Living Dangerously

[Music] I want this. Who drove in? In this, find out what it’ll take for let’s just see if we can’t close this deal. [Music] Now, David Letterman is visiting a village that has no power. The number that we hear about Indians living off the grid is usually…

Mirrors And The Fourth Dimension

More Articles