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.

It's better to be alone than wish you were

Lecture 15 - How to Manage (Ben Horowitz)

View All

Making scaled copies

[Instructor] Figure A is a scaled copy of figure B. And then they say what is the value of x? Pause this video and see if you can figure that out. All right, given that figure A is a scaled copy of figure B, that would also mean that figure B is a scale…

Dilations and properties

We are told that quadrilateral ABCD is dilated about point P. So, this is our quadrilateral that’s going to be dilated around point P, and then they ask us some questions: Are the coordinates of the vertices preserved? Are corresponding line segments on t…

Adding tenths to hundredths

So what we’re going to try to do in this video is add 7 tenths to 13 hundredths. Pause this video and see if you can figure what that is. All right, so this might be a little bit intimidating at first because we’re adding tenths here, seven tenths, and w…

Inequalities word problems | 6th grade | Khan Academy

We’re told that Eric is shorter than Preethi. Preethi is 158 centimeters tall. Write an inequality that compares Eric’s height in centimeters, E, to Preethi’s height. Pause this video and see if you can do that. All right, so we have Eric’s height, which…

What The U.S. Need to Do?

And you’ve studied how empires rise and how empires fall over the past several hundred years. You’ve said that generally speaking, empires collapsed for three main reasons. The first is debt, the second is internal conflict—so you know, polarity within a …

IMPORTANT Tax Tips That Will Save You Thousands!

[Music] Hey guys, welcome back to the channel! In this video, we are going to be talking about 10 tax tips to help you guys get your tax returns sorted out. Because I’m doing this video specifically now, but as a bit of a reminder that if you’re an Austr…

Mirrors And The Fourth Dimension

More Articles