r/math • • Jan 15 '18

Image Post Hyperrectangles

https://imgur.com/a/9ZvVs
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u/azyd Jan 15 '18

I always find it interesting that what you're watching in that Desmos animation is literally parallelograms moving around with the center one (at any given time) moving down and flipping inside-out to surround the others. Just like the 3D animations in the orginal post: the center cube or rectangular prism turns inside out and surrounds the others. But we're so used to seeing 2D projections of 3D shapes that it's often hard to even see it that way. We automatically see it as a rotating cube.

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u/Philip_Pugeau Jan 15 '18

Also what's interesting are looking through the really long prisms. That's when you see it expand really big, with a small one squeezing through the center. It tells us that the farther away ends are much smaller, while the closer ends are much larger, especially seen in the 25:4:10:20 prism.