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4D Tesseract: Fourth Dimension Game

fourthdimensiongame.com

31–40 of 44 posts

Re: 4D Tesseract: Fourth Dimension Game

#31
post #21

If you think that us 3D people will never be able to wrap their heads around 4D, you have to read Charles Hinton's ( http://en.wikipedia.org/wiki/Charles_Howard_Hinton ) The Fourth Dimension ( https://archive.org/details/fourthdimension00hintarch ). This is the guy who coined the terms ana and kata (from Greek) for the two additional 4D directions, analogous to up/down, etc. (he also invented a gunpowder baseball pit…

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Re: 4D Tesseract: Fourth Dimension Game

#32
post #2

I'll just be the first to admit that I am indeed too dumb to grasp this concept. I've stared at it for a long time, but I do not get it.

I think of it this way: if you try to draw a 3D cube on a 2D screen, what you really have is a 2D image. If oriented correctly, and nobody told you anything about that cube, you might mistake it for a 2D hexagon. If instead that cube were rotating, you would see the change in the shape of the hexagon and realize that the image is supposed to be a cube. But the reality is, it's still a 2D image. It's just a representa…

A 3D display doesn't help much; being able to take advantage of stereo effects helps a little, since you can see it from multiple slightly different angles at a time (one per eye). But your retina is still 2D- you can't perceive 3D objects directly through the visual system, just 2D projections of them.

A native 4D creature would presumably have a 3D retina that can directly perceive 3D projections of 4D objects and infer 4D structure from them like we infer 3D structure from 2D projections. Maybe a tactile display could improve things somewhat (though you'd still be lacking access to 3D-internal structure), but as long as you're going through the human visual system, it takes some significant effort to reconstruct the 3D projections and then go the extra step to inferring 4D structure, no matter how good your display technology is.

Re: 4D Tesseract: Fourth Dimension Game

#33
post #2

I'll just be the first to admit that I am indeed too dumb to grasp this concept. I've stared at it for a long time, but I do not get it.

I think of it this way: if you try to draw a 3D cube on a 2D screen, what you really have is a 2D image. If oriented correctly, and nobody told you anything about that cube, you might mistake it for a 2D hexagon. If instead that cube were rotating, you would see the change in the shape of the hexagon and realize that the image is supposed to be a cube. But the reality is, it's still a 2D image. It's just a representa…

One can use parallel coordinates to visualize N-dimensional objects in the 2d plane. The hypercube's pretty easy to understand in the orthogonal projection, but for anything more complicated than a 24-cell, parallel coordinates really helps.

Re: 4D Tesseract: Fourth Dimension Game

#36
post #2

I'll just be the first to admit that I am indeed too dumb to grasp this concept. I've stared at it for a long time, but I do not get it.

I struggle with picturing 4D rotating objects, I find it easier to deal with slicing the object up and picturing that. To clarify if you think of a single picture from an MRI it's a slice of a 3D object and you can move up and down the object to see each slice. If you move through all the slices you can get an idea of the 3D shape. With the 4th dimension it's similar except each of the slices is a 3D shape. So a 4D “sphere” sliced up this way would look like a 3d sphere that gradually got bigger until halfway through the 4D “sphere” then gets smaller again. You can also somewhat consider it a 3D object that changes shape with time but since time is a dimension you can go back and forward along it. That's how I picture 4D objects which is admittedly not as well as some people do.

Re: 4D Tesseract: Fourth Dimension Game

#37
post #26

Another 4D game: Miegakure http://marctenbosch.com/miegakure/ As referenced in a XKCD http://xkcd.com/721/

When you mention miegakure you should mention that it's been in development for about as long as DNF and might be done in 2020. :)

Given the timeframe I'd call it the video game equivalent of Jay Electronica's album Act II.

Re: 4D Tesseract: Fourth Dimension Game

#39
post #26

Another 4D game: Miegakure http://marctenbosch.com/miegakure/ As referenced in a XKCD http://xkcd.com/721/

When you mention miegakure you should mention that it's been in development for about as long as DNF and might be done in 2020. :)

Well, experimental games take a long time to make! It's to be expected.

Re: 4D Tesseract: Fourth Dimension Game

#40

Earlier quoted context omitted.

When you mention miegakure you should mention that it's been in development for about as long as DNF and might be done in 2020. :)

Well, experimental games take a long time to make! It's to be expected.

Of course. :)

I love every blog post you write and every image i see released of the game.

It's just that i've come to terms with the high possibility that i simply might not get to play this game at any point.

I'm simply trying to say that the path to the realization should be made easier for other people before they become enamored only to face the harsh reality of the last paragraph on the game's website. ;)

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