Made me think of these toys.
this post was submitted on 30 Oct 2026
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Thankfully they aren't a klein bottle or hypercube, so those are safe to play with
In mathematics, orientability is a property of some topological spaces such as real vector spaces, Euclidean spaces, surfaces, and more generally manifolds that allows a consistent definition of "clockwise" and "anticlockwise". It generalizes the concept of curve orientation, which for a plane simple closed curve is defined based on whether the curve interior is to the left or to the right of the curve. A space is orientable if such a consistent definition exists. In this case, there are two possible definitions, and a choice between them is an orientation of the space. Real vector spaces, Euclidean spaces, and spheres are orientable. A space is non-orientable if "clockwise" is changed into "counterclockwise" after running through some loops in it, and coming back to the starting point. This means that a geometric shape that moves continuously along such a loop is changed into its own mirror image.
Well yeah, it's a 3d projection of a 4d shape. Maybe you can orient it in 4d, I haven't checked
But does it fit in the square hole?
I wouldn't know, never touched the stuff
No need. The answer is always yes