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4D Toys: a box of four-dimensional toys

marctenbosch.com

21–30 of 148 posts

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

#21
post #8

Now is a good moment to reread Lewis Padgett's Mimsy were the Borogoves, specially if your children start playing with those toys.

http://jabberwockland.blogspot.com/2007/03/mimsy-were-borogo...

My favorite short story of that era. Still have not watched the movie out of sheer fear they didn't get it and I don't want it wrecked. (Still have no idea how that even made it out...)

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

#22

I'm curious how this would look if the 4D space was projected onto the 3D space instead of taking a cross-section, much like we already project 3D space onto 2D space (your display), to create "3d" graphics.

Isn't that what the traditional 3d visualization of a hypercube is? e.g. https://en.m.wikipedia.org/wiki/Hypercube#/media/File%3AHype...

Isn't that a 2d projection of the 3d projection of 4d space?

It gets weird because our eyes see almost in 2d, and even with VR, there is a 2d feed to each eye that gets combined to add slight 3d depth perception. So really we would be projecting a 4d world onto two 2d plains that our visual cortex would try to merge to add slight depth perception.

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

#23
If you make a Kickstarter to 4D print them, I would support it for my kids. I think for kids, it's more important to play with real-world physical objects rather than their virtual computer representation.

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

#24
post #10

The video explaining it is really well made, but for some reason I still can't grasp the 4th dimension. Perhaps it's one of those things that you only need to know they exist at the theoretical level.

Same here. I understand perfectly everything that was said in the video but I still don't understand how the fourth dimension quite works.

However, having only heard of hypercubes and not hyperspheres before I decided to see if there was anything useful about them online and I found this video that I just started watching and already 1 min 50 sec into the video something very interesting was said;

> Everybody knows what the sphere is. I'm thinking of a hollow sphere so like a basketball right. That's a two-dimensional surface living in a three-dimensional space. The hypersphere is generalized one dimension up, so in four dimensions you have this three-dimensional space called the 3-sphere or the hypersphere.

https://www.youtube.com/watch?v=krmV1hDybuU

Already this is telling me something that I have not heard before, and which I find much more helpful than talking about what a shape looks like from the perspective of someone living one dimension further down. That being said it was still useful having that explained as well, which is what Flatland: The Movie (2007) was about as well. Just this fact I quoted above was even more useful IMO.

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

#25
post #13

Love the idea! Unfortunately it's not compatible with iOS plus-sized screens :(

I'm hitting the same problem -- the app only renders to a smaller rectangle of the whole screen rooted at the bottom-left (when held sideways), but touch events are scaled to the whole screen. I could probably live with the smaller view, but it's very hard to accurately manipulate the objects when it thinks I'm touching further left than I actually am.

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

#26
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…

I thought the majority of sapir-whorf thought had been disproven and at best only a mild amount had support?

At least, that's what I remember learning in my linguistics courses in college. I'm willing to be wrong.

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

#28
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…

You deal with 4 dimensions all the time -- up-down, left-right, forward-back, future-past.

In reality, you deal with high dimensional objets all the time: the position you're in is composed of dozens to hundreds of muscles rotating a few dozen joints.

We're fascinated by vision, but proprioception is where it's at if you want to think in high dimensions.

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

#29
post #4

Reminded of this Carl Sagan video that I watched as a kid. https://www.youtube.com/watch?v=xTL02N9EHzU

These videos are such a treasure. All these years and nobody came even close (new Cosmos is ok, but not that profound).

This is how you make a nation great. You can do whatever you want with the economy, but without proper education you still have a nation of.. people.. who choose their president.. based on their beliefs and understanding of the world.

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