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TileAreas[{{x1, y1}, {x2, y2}, ...}, {q1, q2, ...}, val]
finds the areas of the tiles centered on {xi, yi} and having vertices qj as stipulated by the vertex adjacency list val.
  • The polygon described by the vertices v1, v2, ... in an element {i, {v1, v2, ...}} of the vertex adjacency list must contain the point {xi, yi}.