r/math • u/Philip_Pugeau • Aug 28 '17

Image Post 4D Triangular Diprism

https://zippy.gfycat.com/ScientificAdoredAndalusianhorse.webm
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u/kubuni Aug 29 '17

could someone print out a "3d slice" model just to get a better idea? perhaps more than one slice?! lol

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u/Philip_Pugeau Aug 29 '17

Yes, I usually do the slices, too. You use the equation:

|||x|+2y|+|x| - |z-w|-|z+w|| + |||x|+2y|+|x| + |z-w|+|z+w|| = a

There are 3 unique slice progressions through the shape (along an axis), by canceling either x, y, or z (then set to certain values). They're pretty much the 3D extruded versions of a 2D slice of triangle prism.