Nth Dimension

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Is it possible to “model” in a dimension past the third? All I'd really like is the 4th, and anything past that would be nice.
Some way you could put in an expression to a box and turn it into a hypercube or tesseract, and then you could choose how to project it.
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How would you propose to represent this? In the same way that you can only represent 3D in a 2D world as either a cross section or more commonly a faked perspective(which has all sorts of history and rules behind it so we all instantly recognize it), you need to have a method of showing this so it makes sense, forget about actually modeling structures in it that truly *work* in 4 dimensions.

There's a bunch of work out there that's been done around 4 dimensional polyhedra and while it's very interesting stuff mathematically, it's far from intuitive.

Cheers,

J.C.
John Coldrick
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I know I couldn't actually make something. I'd just like it to make an image of a cross section of some simple 4D geometry.
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Wikipedia [en.wikipedia.org], as usual, has some interesting info. There's nothing intrinsic to Houdini that would give you any shortcuts to dealing with this, except of course it's a very flexible system so I suppose you could implement your own representations. Some cross-sectional polyhedra will use colour as a guide to the 4th axis, of course you could do something with that. In the end, though, it tends to be a tricky thing to build, graphically, that makes much sense to the average eye for obvious reasons. You can build a Klein bottle, but it's not a true Klein bottle, natch.

Cheers,

J.C.
John Coldrick
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JColdrick
Wikipedia [en.wikipedia.org], as usual, has some interesting info.

While Wikipedia has some good info, I'd suggest just asking John Bigboote. He's an expert.
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Looking at stuff on Wikipedia is what got me interested in trying to represent it.

Who's John Bigboote? Hope I'm not falling for some joke.
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oh Jim….
you and your Buckaroo Banzai references…
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Too late: http://www.imdb.com/title/tt0086856/ [imdb.com]

heydabop
Looking at stuff on Wikipedia is what got me interested in trying to represent it.

Who's John Bigboote? Hope I'm not falling for some joke.
“gravity is not a force, it is a boundary layer”
“everything is coincident”
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probbins
Too late: http://www.imdb.com/title/tt0086856/ [imdb.com]

heydabop
Looking at stuff on Wikipedia is what got me interested in trying to represent it.

Who's John Bigboote? Hope I'm not falling for some joke.

Ouch…..
I searched Google, and that came up, but I figured it wasn't it.
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While it wouldn't be a real-time view of the 4th dimension (you'd have to be a tralfamadorian to do that), you could use the time shift and copy sops cleverly to create a sort of time sculpture of something animated. The effect would be similar to winning in solitaire.
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…or losing in poker?

J.C.
John Coldrick
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I think he meant winning on Windows OS's, when the cards all go flying everywhere.
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I guess you have more patience when losing at poker than JColdrick :wink:
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Maybe I do…..

However, I never got how it was like winning solitaire in the first place.
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Here's someone who apparently stopped playing/winning solitaire at some stage:
http://www.dimensions-math.org/Dim_E.htm [dimensions-math.org]

Link via Andz(odforce)
this is not a science fair.
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Neat site!

J.C.
John Coldrick
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Cool. I think I might have to watch that whole thing.
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