4D toys

Discussions about how to visualize 4D and higher, whether through crosseyedness, dreaming, or connecting one's nerves directly to a computer sci-fi style.

4D toys

Postby Secret » Mon Jun 19, 2017 12:08 am

There's a new app that let's you play with 4D shapes by the Miegakure developers
http://4dtoys.com/

Also can anyone explain why I saw a tiger (in orange) there? I thought only this forum knew its existence?
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Re: 4D toys

Postby ICN5D » Fri Jun 23, 2017 10:53 pm

Marc ten Bosch is the only person developing Miegakure. He came to this forum to learn more about some of the 4D shapes. And, yes, that is a tiger you see! And the spheritorus, too. They're going mainstream now.
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Re: 4D toys

Postby Hugh » Sun Jun 25, 2017 11:49 am

I suspect that 3 axes of a 4D object would be at least visible to a 2D extended plane (3D) viewpoint and that none of these toys should fully disappear to it. Is this incorrect?
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Re: 4D toys

Postby ICN5D » Sun Jun 25, 2017 3:44 pm

If you slide (translate) a 4D object far enough along a 4th axis (the one you can't see), the shape would be completely pulled out of the 3D plane, and disappear. He may be restricting the distance that you can slide, just enough to keep a small part (of the shape) stuck in the 3-plane.
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Re: 4D toys

Postby Hugh » Wed Jun 28, 2017 2:02 am

ICN5D wrote:If you slide (translate) a 4D object far enough along a 4th axis (the one you can't see), the shape would be completely pulled out of the 3D plane, and disappear. He may be restricting the distance that you can slide, just enough to keep a small part (of the shape) stuck in the 3-plane.


On his 4D toys page, there are some animations of some 4D toys moving around on what appears to be a table in front of you. As they move around, or fall down, some of them completely disappear. Would this actually happen? As you look along an z-axis, into the 3rd dimension, forwards along a 2D xy plane at the table in front of you, shouldn't that catch 3 axes of line of sight of any 4D object that would happen to be in front of you? The one to the right and left of you, up and down, and forward towards the table? A 4D toy would have those axes of space within it wouldn't it?
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Re: 4D toys

Postby ICN5D » Mon Jul 03, 2017 4:27 pm

I've been thinking about this. The sandbox game uses 3 axes to explore a 4D toy. You can move the objects along any single or more axes at once.

Move along any of the 3 axes in our slicing plane, and we see an unchanging toy sliding around in 3D.

Move along the 4th axis that we don't see, and the toy stays in place while changing form (as we slice it top to bottom along the 4th axis).

Move along both an axis in our 3D plane and the 4th axis (diagonally), and we see a toy sliding towards the table, while changing form. Just moving in our 3D slicing space won't change the x-section of the 4D shape. We have to move along that 4th axis, too, to cut at different height levels in 4D.

So, when the toy moves towards the table and changes form/disappears, it's moving diagonally along a plane, in our slicing space and 4D.
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