Hypercube Unfoldings that Tile R^3 and R^2
نویسندگان
چکیده
We show that the hypercube has a face-unfolding that tiles space, and that unfolding has an edge-unfolding that tiles the plane. So the hypercube is a “dimension-descending tiler.” We also show that the hypercube cross unfolding made famous by Dali tiles space, but we leave open the question of whether or not it has an edge-unfolding that tiles the plane.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1512.02086 شماره
صفحات -
تاریخ انتشار 2015