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 go into your 4-D hypercube. And here is a rotating 4-D hypercube on youtube.

From: [identity profile] odditycollector.livejournal.com


4-D marbles? Because filling it with 3-D marbles would be an exercise in infinity. ;p

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From: [identity profile] jarodrussell.livejournal.com - Date: 2008-02-25 07:58 pm (UTC) - Expand

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From: [identity profile] odditycollector.livejournal.com - Date: 2008-02-25 08:38 pm (UTC) - Expand

Not necessarily

From: (Anonymous) - Date: 2010-04-04 11:08 pm (UTC) - Expand

Re: Not necessarily

From: [identity profile] odditycollector.livejournal.com - Date: 2010-04-05 08:20 am (UTC) - Expand

Re: Not necessarily

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Re: Not necessarily

From: [identity profile] odditycollector.livejournal.com - Date: 2010-04-08 05:34 pm (UTC) - Expand

Necessarily

From: [identity profile] odditycollector.livejournal.com - Date: 2010-04-10 06:31 pm (UTC) - Expand

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From: [identity profile] shadowvalkyrie.livejournal.com - Date: 2008-02-26 02:02 pm (UTC) - Expand

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From: [identity profile] odditycollector.livejournal.com - Date: 2008-02-27 11:52 pm (UTC) - Expand

not exactly

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Re: not exactly

From: [identity profile] odditycollector.livejournal.com - Date: 2010-04-08 05:11 pm (UTC) - Expand

From: (Anonymous)

fail


that is not four dimensions. it is three, height, width, and depth, I see no representation of time... there is no fourth spatial dimension.

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brownbetty: (Default)

From: [personal profile] brownbetty


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

From: [identity profile] odditycollector.livejournal.com


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

From: [identity profile] the-wanlorn.livejournal.com


Easier way: Draw two cubes and connect them at all corner-thingies! If you look at it just right, you can see it in your final product.

From: [identity profile] odditycollector.livejournal.com


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.

From: (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

From: (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.

From: [identity profile] odditycollector.livejournal.com

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.

Re: This is a projection

From: [identity profile] odditycollector.livejournal.com - Date: 2010-04-05 09:29 am (UTC) - Expand
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From: [identity profile] odditycollector.livejournal.com - Date: 2010-04-06 09:46 pm (UTC) - Expand

From: [identity profile] odditycollector.livejournal.com


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

From: (Anonymous)

photoshoped


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

From: (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


From: [identity profile] odditycollector.livejournal.com

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 (http://en.wikipedia.org/wiki/Hypercube) 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.

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From: (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.

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