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Mon, Feb. 25th, 2008, 12:14 am
Tesseract Tutorial

 
How to draw a 4-D hypercube without having to actually understand the math!

In case, I don't know, this is a skill you think you will need someday.











Congratulations!

If your hypercube looks stretched or warped, do not worry. You can always say that you were incorporating 4-D perspective - chances are this is actually correct, and in any case, no one will argue.

 
In case you are curious, here are the eight 3-D cubes that bound your 4-D hypercube. And here is a rotating 4-D hypercube on youtube.

Mon, Feb. 25th, 2008 03:15 pm (UTC)
jarodrussell

Now fill it with marbles!
not exactly - (Anonymous) - Expand
Re: not exactly - (Anonymous) - Expand
fail - (Anonymous) - Expand
Re: fail - (Anonymous) - Expand
Re: fail - (Anonymous) - Expand
Re: fail - (Anonymous) - Expand
Re: fail - (Anonymous) - Expand
Re: fail - (Anonymous) - Expand
Re: fail - (Anonymous) - Expand
Re: fail - (Anonymous) - Expand

Mon, Feb. 25th, 2008 05:30 pm (UTC)
shadowvalkyrie

This makes my head swim. ":-(

Mon, Feb. 25th, 2008 07:57 pm (UTC)
odditycollector

Pretty though, yes? :) It sort of looks like a really intricate star.

Mon, Feb. 25th, 2008 06:40 pm (UTC)
brown_betty

*bookmarks, for when she will inevitably need this knowledge*

Mon, Feb. 25th, 2008 07:58 pm (UTC)
odditycollector

This knowledge will be totally useful, Betty! You will see!

Mon, Feb. 25th, 2008 06:41 pm (UTC)
tashiro

Your you-tube link returns to your LJ post.

Mon, Feb. 25th, 2008 07:59 pm (UTC)
odditycollector

Oops! Double-checking, my nemesis!

*fixes*

Mon, Feb. 25th, 2008 08:23 pm (UTC)
odditycollector

That's a pretty cool one!
(Deleted comment)

Tue, Feb. 26th, 2008 06:32 pm (UTC)
odditycollector

Yup - that's the first way I learned how, and it's more useful conceptually.

This way, though, you're guaranteed to get a fairly predictable and (IMO) pretty result, without having to chase down all the corners.

Tue, Feb. 26th, 2008 05:38 am (UTC)
blown_lightbulb

[saves because it's cool]

Tue, Feb. 26th, 2008 06:32 pm (UTC)
odditycollector

:)

Wed, Feb. 27th, 2008 02:32 am (UTC)
curtisp

That's not how I draw a hypercube.

Wed, Feb. 27th, 2008 11:43 pm (UTC)
odditycollector

What's your favourite way?

Sat, Sep. 19th, 2009 05:20 pm (UTC)
(Anonymous): tesseract

Thank you very much!

Thu, Oct. 22nd, 2009 10:40 pm (UTC)
(Anonymous): copyright?

I love your tesseract as an image for my column in Wild River Review, does this on line jhournal have to pay a fee or is this posting a publishing in the public domain?

Lndsfrn@yahoo.com

Sun, Apr. 4th, 2010 06:28 pm (UTC)
(Anonymous): This is a projection

Folks this a projection of four dimensions onto two, not three. My screen has no depth at this time.

But it is a nice complex drawing.

Sun, Apr. 4th, 2010 07:28 pm (UTC)
odditycollector: Re: This is a projection

...Yes? Congratulations on your well developed observation skills?

But if that bothers you unduly, you can always tell yourself it's not *really* a representation of a geometrical form, just a concept visual for a regular, bipartite graph with vertices of degree 4.

Mon, Apr. 5th, 2010 07:50 am (UTC)
(Anonymous)

finally.. i understand it.

Mon, Apr. 5th, 2010 09:50 am (UTC)
odditycollector

Hey, coolness! I honestly wouldn't have guessed this'd be conceptually useful, but if it helped you, that's fantastic.

Tue, Apr. 6th, 2010 11:48 am (UTC)
(Anonymous): photoshoped

it's obviously been photoshoped.... i can tell by the pixels... :-P

Tue, Apr. 6th, 2010 06:05 pm (UTC)
odditycollector: Re: photoshoped

Oh, dear! You caught me! ;)

Thu, Apr. 8th, 2010 06:26 am (UTC)
(Anonymous): 4-dimensional

since you're a mathematical wizard, please give me a detailed description on how this cube represents "the fourth dimension"

however i fully expect you to reply with flame

Thu, Apr. 8th, 2010 05:07 pm (UTC)
odditycollector: Re: 4-dimensional

I claim no wizardry. It's all done with mirrors logics.

If you really do want a "detailed description on how this cube represents 'the fourth dimension'", I suggest looking into Wikipedia or any number of mathematics sites the search engine of your choice will provide. Perhaps you will find them fascinating! I'm pretty fond of hypercubes, though I can't say much conceptually useful above n = 4.

If you just want me to justify myself, though? LOL, no, I feel no need.

Wed, Sep. 8th, 2010 05:53 am (UTC)
(Anonymous): 4D

I think it's an interesting post and appreciate the simplicity. The representation of a 4D cube in 2D is plausible but freely up for debate in my opinion, although what I think people have missed is the fact that these shapes refer to 4 Spacial Dimensions of which time has no bearing on.