Tiles with Finite Convex Spectra
Tiles with Finite Convex Spectra
Rearrange the given tiles to create convex shapes.
If copies of a tile can be arranged to form a convex shape without gaps or overlapping, then is said to belong to the "convex spectrum" of . The mathematical problem is to find all shapes with finite convex spectrum.
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Since the tiles and convex spectra are already given in this Demonstration, all you have to do is to rearrange the given tiles. For example, if the convex spectrum is , one task is to arrange 3 tiles into a convex shape; another task is to arrange 6 tiles into a convex shape.
{3,6}