Like most people, I have always had trouble visualizing dimensions beyond 3D. I found this video very interesting and informative, and others hear may enjoy the channel.

I would also be interested, if anyone with better knowledge of maths than me does spend any time looking at the channel, in an assessment as to how reliable and accurate the content might be.

Hmm.. copy-paste appears to have gone all Glow-worm on me.

It is a youtube channel called 3Blue1Brown. The specific video is as per the title of this thread.

Sorry for the lack of link. Maybe someone else could help a brother out?

https://www.youtube.com/watch?v=zwAD6dRSVyI

Bogsnorkler said:

https://www.youtube.com/watch?v=zwAD6dRSVyI

Thanks Bognsnorkler

had a bookmarked article on higher dimensions

found it

The Human Brain Can Create Structures in Up to 11 Dimensions

Bogsnorkler said:

https://www.youtube.com/watch?v=zwAD6dRSVyI

Fucking piss poor effort, Boris.

You really expect people to go to the trouble of having to copy that URL and paste it into another tab.

Lift your game!

Tau.Neutrino said:

had a bookmarked article on higher dimensions

found it

The Human Brain Can Create Structures in Up to 11 Dimensions

Its not related.

sibeen said:

Bogsnorkler said:

https://www.youtube.com/watch?v=zwAD6dRSVyI

Fucking piss poor effort, Boris.

You really expect people to go to the trouble of having to copy that URL and paste it into another tab.

Lift your game!

yes, the exercise will do you all good. get those fingers moving!!!

Lost me at the first mention of w.

Speedy said:

Lost me at the first mention of w.

I haven’t looked at it, but with your reference I’d imagine that it would be all greek to me.

Tau.Neutrino said:

had a bookmarked article on higher dimensions

found it

The Human Brain Can Create Structures in Up to 11 Dimensions

My nephew was drawing 9-D hypercubes while still in early high school.

Once you set up a coordinate system of axis angles and lengths you can visualize up to any number of dimensions.

Looks QI, but a bit long. I’ll finish it off another time.

FWIW, I think of multi-dimensional spaces in terms of specifying a specific character in a book in a universal collection of libraries:

Character number
Line
Page
Book
Shelf
Bookcase
Row
Aisle
Floor
Building
Street
Avenue
Suburb
City
State
Nation
Continent
Planet
Solar System
Galaxy
Universe

21 dimensions is usually enough for an engineer.

I thought there was a lot more that could have been covered in a video of that length.

Guide to n-D geometry.

Calculation of lengths works just like in 2-D.
Length = sqrt( x1^2+…+xn^2)

Calculation of angles from cosine rule works just the same.
Angle they between unit vectors x and y is given by
Cos(angle)=x dot y.

Tessellations in 2-D become honeycombs in n-D

The number of platonic solids in n-D is
Infinite for 2-D
5 for 3-D
6 for 4-D
3 for n-D with n>4

What else do you need to know?

Tau.Neutrino said:

had a bookmarked article on higher dimensions

found it

The Human Brain Can Create Structures in Up to 11 Dimensions

I’m not sure what “algebraic topology” is in this context, but the dimensionality here looks to me like a fractal dimension.
“Structures” refers to physical connectivity of neurons.