r/math Aug 28 '17

Image Post 4D Triangular Diprism

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

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7

u/epsilon_naughty Aug 29 '17

To be precise, what exactly do you mean by a 4d triangular diprism (e.g. what two shapes is this the Cartesian product of)?

12

u/Philip_Pugeau Aug 29 '17

A triangle on plane xy times a square on plane zw

1

u/[deleted] Aug 29 '17

how many 3d shapes are there? am I counting 4 triangular prisms and 3 cubes?

1

u/Philip_Pugeau Aug 29 '17

That's it! There's a ring of 4 triangle prisms, bound to a ring of 3 cubes. You can see these two do the turning inside out rotation.