Is a tesseract a 4d hypercube of dimensions of the ratio 1:1:1:1, or could any polychoron fit the bill?
Anyone have any experience of drawing hypercuboids? And rotating them?
Sorry. Have been a bit heavily into the subject and the jargon is... well, fun.
Hypercubes. Oh come one, *everyone* loves hypercubes. Like a square is to a line, like a square is to a cube, so a 4d hypercube is to a cube. There's 8 cells in one, I think, each one cube in size. But folded up inside each other. As you will see if you explore this one.
Yes. No, a tesseract is a regular four-dimensional polychoron - a hypercube of unit size. No (well, I don't). No (well, I don't).
Why are you getting involved in visualising the fourth dimension? This can be dangerous (see below...)
Links! CH Hinton, the bigamous inventor of the word "tesseract", who invented a gunpowder-fuelled bowling machine! http://en.wikipedia.org/wiki/ Charles_Howard_Hinton
The classic Robert Heinlein short story about an architect who accidentally builds a tesseract-shaped house: http://www.scifi.com/scifiction/ classics/classics_archive/heinlein/ heinlein1.html
A rather good Lovecraftian short story about Hinton and the Fourth Dimension http://www.ebookmall.com/ebook/92755-ebook.htm
And a non-fiction piece by the same author about Hinton http://www.sfsite.com/fsf/2001/cur0101.htm
If you should see anything amazing in aPieceOfThem, do post about it in aPOU for heaven's sake. It updates far more frequently than any of us look at this page. Unless it's a really slow day.
6 comments:
What on earth are you talking about?:-)
I think it's probably safe to say that my answer to Q2 and 3 is 'no'. But perhaps they were a bit rhetorical...
Sorry. Have been a bit heavily into the subject and the jargon is... well, fun.
Hypercubes. Oh come one, *everyone* loves hypercubes. Like a square is to a line, like a square is to a cube, so a 4d hypercube is to a cube. There's 8 cells in one, I think, each one cube in size. But folded up inside each other. As you will see if you explore this one.
More about Hypercubes here.
Yes.
No, a tesseract is a regular four-dimensional polychoron - a hypercube of unit size.
No (well, I don't).
No (well, I don't).
Why are you getting involved in visualising the fourth dimension? This can be dangerous (see below...)
Links! CH Hinton, the bigamous inventor of the word "tesseract", who invented a gunpowder-fuelled bowling machine!
http://en.wikipedia.org/wiki/
Charles_Howard_Hinton
The classic Robert Heinlein short story about an architect who accidentally builds a tesseract-shaped house:
http://www.scifi.com/scifiction/
classics/classics_archive/heinlein/
heinlein1.html
A rather good Lovecraftian short story about Hinton and the Fourth Dimension
http://www.ebookmall.com/ebook/92755-ebook.htm
And a non-fiction piece by the same author about Hinton
http://www.sfsite.com/fsf/2001/cur0101.htm
Yes, read the Heinlein story a while back. Hadn't seen the Lovecraftian one, though, thanks.
Am drawing points in 4d space, reproducing as a 4-d hypercuboid sitting centrally in a tesseract and rotating the lot through one dimension. Slowly.
WHY?
Because it was Friday. What do you do on Fridays?
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