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4D Toys: a box of four-dimensional toys

marctenbosch.com

91–100 of 148 posts

Re: 4D Toys: a box of four-dimensional toys

#92
post #15

This looks fantastic. If I had a VR device I would get this immediately. I've always had a fascination with trying to grok higher dimensions. I think it's just about impossible to have an intuitive understanding of it - 3D spacial reasoning is in our wiring through both nature and experience. You know the theory of how language shapes your thinking? For example, in societies where there is no separate word for orange…

Often when I see something about 4d it uses this same analogy: a 2d being seeing a crosssection of a 3d world, in 2d. However, the video is in 2d, and it's able to show 3d in a much better/more clear way, clearly, cause when it's showing that example it's got a cutout of the "3d" view (which is still 2d!). Why can't we do the same thing with 4d? Why does the object just disappear when it bounces into the 4th dimensio…

Yes, I would also expect a projection rather than a crosssection. One reason could be: perhaps it would make the game too confusing and difficult?

But I'd still like to see the difference.

Re: 4D Toys: a box of four-dimensional toys

#93

Odd. I just bought this on my wife's iPad. It opens, drops some shapes and then repeats. If you touch the screen it instantly crashes

I'm guessing there's a missing/incorrect OS/functionality check somewhere cause she's on iOS 8.2. Upgrading now and will report back. Also grabbed the crash-logs and will email them through.

Re: 4D Toys: a box of four-dimensional toys

#95
post #44

Earlier quoted context omitted.

Often when I see something about 4d it uses this same analogy: a 2d being seeing a crosssection of a 3d world, in 2d. However, the video is in 2d, and it's able to show 3d in a much better/more clear way, clearly, cause when it's showing that example it's got a cutout of the "3d" view (which is still 2d!). Why can't we do the same thing with 4d? Why does the object just disappear when it bounces into the 4th dimensio…

Maybe they could do something like a fog? That is, if the object was farther away in the 4th dimension, it would appear less distinct or more fuzzy/blurry, like being in the fog.

Miegakure did something similar where it showed a shadow of the 3D space immediately adjacent to the currently visible slice. I think he since removed that, so I expect he must have experimented with something similar in 4D Toys and decided against it.

Re: 4D Toys: a box of four-dimensional toys

#97
post #81

Earlier quoted context omitted.

I am not sure you are correct. We have 2 eyes so that our brain can work out the depth of the image.

We see in 2D, with a tiny bit of depth metadata. True 3D vision would allow you to look at someone, and see the entire volume of all their internal organs simultaneously.

Wouldn't that be xray vision?

Re: 4D Toys: a box of four-dimensional toys

#98

Earlier quoted context omitted.

Often when I see something about 4d it uses this same analogy: a 2d being seeing a crosssection of a 3d world, in 2d. However, the video is in 2d, and it's able to show 3d in a much better/more clear way, clearly, cause when it's showing that example it's got a cutout of the "3d" view (which is still 2d!). Why can't we do the same thing with 4d? Why does the object just disappear when it bounces into the 4th dimensio…

I remember playing a flash or java game years ago that did exactly this. It was a 4d maze, rendered in stereoscopic 3d. It displayed the images side by side and you crossed your eyes to get the 3d effect. It was really disorienting (the 4d, but also the eye-crossing), and like the post author says, just bundles of lines rather than solid shapes. Still very cool. Ooh, I found it! http://www.urticator.net/maze/

Thank you so much! I've wanted something like this for ages. Now to figure out how to cross my eyes consistently with astigmatisms...

Re: 4D Toys: a box of four-dimensional toys

#99
post #71

Earlier quoted context omitted.

See also Flatland ( http://amzn.to/2qKFrOh , aff. link) which is a short novel in part about 2D shapes discovering the third dimension. Edit: Didn't notice it was mentioned at the end of the comments, https://news.ycombinator.com/item?id=14472395 , there's a free version linked from archive.org.

A favorite novel of mine actually! Hard to believe that it was written in the 1800s, yet still Abbott understood the 4th dimension better than most people today.

> Hard to believe that it was written in the 1800s

Aside from all the misogyny and the style of writing, you mean?

Re: 4D Toys: a box of four-dimensional toys

#100
This is so cool, but its driving me crazy. I was wondering if someone could provide me with more resources that help intuit about 4d space. For example, in Miegekure, he walks through the 4th dimension to get to the other side of the wall, but thats assuming that no part of the wall extends into the forth dimension (aside from rubble). What would happen if he switched back to the normal 3 dimensions in the middle of the wall. In miegekure everything is kind of discretized (grassy area to desert area), but in reality that would be continuous. What would that actually look like, for example, the area right next to the wall? How would this work at a subatomic level, would electrons be traveling in and out of the 4th dimension? Could this explain things like action at a distance or black holes? How does the explain shared surfaces in the 4th dimension? I can't even answer a basic question like, if I were sitting in an easy chair and started looking down the 4th dimension what would happen. Since it has to share one cross section of the easy chair would it have to be simply a fatter or skinnier easy chair? But that is true for any cross section of the chair correct? The easy chair is the 3d cross section of the 4d object then what (would/could) the 3d cross section exchanging one of our spatial dimensions for the hidden one look like? How does gravity work in those 3 dimensions (2 of our spatial dimensions + 1 of the hidden dimension). Supposing the world was like this, wouldn't it be obvious if any object was extending into the 4th dimension thus we can stand to reason our world must be strictly 3 dimensional? If there were 4 dimensions since we can't see or interact with it, does it stand to reason that the spatial extent of any object doesn't extend into the 4th dimension? For example, since the three dimensional projection of a hypersphere changes diameter, does that mean the 4d dimensional analogues of earth are just different size earths? I also notice that in one of the miegekure videos the windmill in the new 3d space is like a cross section of the windmill but extending for a distance, Im guessing this is a product of the way the 4th dimension is discretized but Im wondering, what would that really look like if the game weren't made that way?
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