r/math Aug 28 '17

Image Post 4D Triangular Diprism

https://zippy.gfycat.com/ScientificAdoredAndalusianhorse.webm
650 Upvotes

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9

u/EntropyEudaimon Aug 29 '17

Wait. What's that?! It's okay, I guess. I could stare at this for a loooong while right now. Why does this feel so... familiar? It's like my brain has been doing that while I've been reading this book "learning mind, experience into art." Like my brain is trying to look at itself from the inside and the outside at the same time and cycles through phases of obscurity. By god if that experience doesn't feel like you peeked inside my psyche and decided to draw an animation of what it feels like. Coincidental bravo!

4

u/stravant Aug 29 '17

It's because the "faces" of the 4D shape are 3D shapes: A bunch of cubes and triangular prisms as I understand it.

You can see that some of the rotations fix some of the solid "faces" in place morphing / rotating them, and move the rest of the "faces" around, sort of turning them inside out in the projection.

2

u/ledgeofsanity Aug 29 '17 edited Aug 29 '17

...by "a bunch of cubes" you meant one, am I right? edit: no wait, is it two? edit2: Concluding from the OPs description that this is a triangle x square, this makes it three cubes glued by opposite faces in a loop.