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.

AP Chemistry multiple choice sample: Boiling points

New Human Ancestor Discovered: Homo naledi (EXCLUSIVE VIDEO) | National Geographic

View All

Calculating a z statistic in a test about a proportion | AP Statistics | Khan Academy

The mayor of a town saw an article that claimed the national unemployment rate is eight percent. They wondered if this held true in their own town, so they took a sample of 200 residents to test the null hypothesis. The null hypothesis is that the unemplo…

15 Ways to Create GENERATIONAL WEALTH

By the time 65 rolls around, only one in 100 people will be well off financially. 70% of wealthy families lose their wealth by the second generation and more so around 90% of families lose all wealth by the third generation. So, even if you make a fortune…

Worked example: Using the ideal gas law to calculate number of moles | AP Chemistry | Khan Academy

We’re told an athlete takes a deep breath, inhaling 1.85 liters of air at 21 degrees Celsius and 754 millimeters of mercury. How many moles of air are in the breath? How many molecules? So pause this video and see if you can figure this out on your own. …

Introduction to negative numbers

In this video, we’re going to introduce ourselves to the idea of negative numbers. Now, you’re already used to the idea of positive numbers; you just called them numbers, not positive numbers. And just to give you an example, I will draw a number line her…

Are Birds Modern-Day Dinosaurs? | National Geographic

When an asteroid slammed into Earth 66 million years ago, only about 20% of all animal species survived. So, whatever happened to these lucky few? Birds come from a long line of survivors. It started millions of years before the asteroid strike with a din…

A Playful Sea Lion Encounter in California | National Geographic

I’m Marie McGrory, a producer on National Geographic Travel. When my partner and I went snorkeling on vacation, we were not expecting to meet a huge, happy sea lion. So how did we get here, and what’s going on with the sea lion? Let’s roll back the tape.…

Mirrors And The Fourth Dimension

More Articles