61–70 of 148 posts
I can't get this to run on iOS. Is it supposed to work? It just sits at the splash page playing a slightly interactive animation over and over. There's an arrow that I tried tapping and dragging and nothing happens.
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…
Something similar but less polished can be found here: http://www.albert-hwang.com/blog/2016/6/what-does-vr-reveal-...
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.
As a person who studied knot theory and sitting through other peoples presentations about higher dimensional knots this looks like a neat treat! After hearing about the concept I bought the game and tried it out. I like how you replace actual physical actions to objects in 4 dimentions. Usually this is projected on the time axis but with this interface it makes it much more fun to play with it instead of having basic…
Higher dimensional knots? I thought one of the first things you learned in knot theory was that knots are only possible in three dimensions?
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…
Watch the part about the slicing of 2d world looking at the 3d objects. That slice is infinitely large in both dimensions, yet it can't see the 3D objects when they aren't in the same plane. Now apply the same analogy to our world: our 3D world is just an infinitely large 3D plane in a 4D world. When the objects aren't in our 'plane', we can't see them.
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.
The book tried it's best to explain it by exploring a world starting with 1D and evolving to 3D, but it's still quite difficult to visualize, especially ones shaped like a "Calabi–Yau manifold" [2].
The one good thing I got out of learning about Calabi-Yau manifolds (and randomly reading another layman story involving Yau's clash with the guy who solved Poincaré conjecture) was a new interest in learning more about math and a getting a laymans grasp of topology. Although I later learned manifolds are quite an advanced subset of topology.
I enjoyed the linked video, I was looking for a way to better understand 4+D in a way I could wrap my head around and an interactive game makes a lot of sense.
[1] https://www.amazon.com/Elegant-Universe-Superstrings-Dimensi...
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.
What annoys me most: "thing disappear" I don't recall 3D -> 2D mapping making things disappear, just surfaces hiding other surfaces. But this might not work in 4D? With the 2D->3D they are taking cross-section, I really don't like these. Just throw it all on there ! This would also mean you project your 4D world on a 3D camera, you project on a 2D surface to display. https://www.youtube.com/watch?v=BVo2igbFSPE <= thi…
That's if you do a "projection", like light rays from a 3D object focused onto a screen. This is more like taking a 3D slice of a 4D object. If you think of taking a 2D slice of a 3D object, you can see how objects disappear when they move out of the plane that you're drawing.
Hypercubes have always been a difficult one for me to intuit, basically I have no 4th dimensional intuition. When I think of a 4D hypersphere all I can get is a simple sphere. I don't have any intuition as to whether that's wrong, it seems in a way it should be a sphere with infinite spheres on it's surface - from analogy with the tesseract - but from analogy of constructing a sphere from a circle it should be a case of rotating the sphere around itself perpendicular to the extra dimension?