Nowhere-Neat Squaring the Rectangle

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11×15

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The goal is to completely tile a large rectangular area with squares such that no two tiles have a side in common ("nowhere-neat tiling").

A similar goal is to tile the large rectangular with squares such that no two tiles of the same size share any part of a side (apart from possibly a vertex). This is called a "no-touch" tiling. No-touch implies nowhere-neat.

(The Demonstration "Nowhere-Neat Squaring the Square" treated tiling of square area, so squares are omitted here.)