Mon, Feb. 25th, 2008, 12:14 am
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.
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)
Now fill it with marbles!
Mon, Feb. 25th, 2008 07:54 pm (UTC)
4-D marbles? Because filling it with 3-D marbles would be an exercise in infinity. ;p
Mon, Feb. 25th, 2008 05:30 pm (UTC)
This makes my head swim. ":-(
Mon, Feb. 25th, 2008 07:57 pm (UTC)
Pretty though, yes? :) It sort of looks like a really intricate star.
Mon, Feb. 25th, 2008 06:40 pm (UTC)
*bookmarks, for when she will inevitably need this knowledge*
Mon, Feb. 25th, 2008 07:58 pm (UTC)
This knowledge will be totally useful, Betty! You will see!
Mon, Feb. 25th, 2008 06:41 pm (UTC)
Your you-tube link returns to your LJ post.
Mon, Feb. 25th, 2008 07:59 pm (UTC)
Oops! Double-checking, my nemesis!
Mon, Feb. 25th, 2008 08:23 pm (UTC)
That's a pretty cool one!
Tue, Feb. 26th, 2008 12:06 am (UTC)
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.
Tue, Feb. 26th, 2008 06:32 pm (UTC)
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)
[saves because it's cool]
Wed, Feb. 27th, 2008 02:32 am (UTC)
That's not how I draw a hypercube.
Wed, Feb. 27th, 2008 11:43 pm (UTC)
What's your favourite way?
Sat, Sep. 19th, 2009 05:20 pm (UTC)
Thank you very much!
Thu, Oct. 22nd, 2009 10:40 pm (UTC)
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?
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)
finally.. i understand it.
Mon, Apr. 5th, 2010 09:50 am (UTC)
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)
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)
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
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)
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.