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Douat's Table of 256 Designs

The 1722 Méthode closes with a dense table of 256 distinct little designs. Here it is, recreated — every cell rendered live from Douat's letters.

Tile AA — bottom-left
Tile BB — top-left
Tile CC — top-right
Tile DD — bottom-right
The four orientations of the tile and the letter Douat assigns to each.

Take the four tiles A, B, C, D, two by two — top-left, top-right, bottom-left, bottom-right — and you can fill a 2×2 block in 4 × 4 × 4 × 4 = 256 ways. Douat tabulates all of them. Each entry below is one of those 2×2 super-tiles, drawn at double size so its shape reads clearly.

He offers the table as a working dictionary: a way to look up the center and corners of a larger composition, since every big design is, locally, one of these 256 blocks. It is the combinatorial heart of the book — the complete alphabet of two-by-two arrangements from which the engraved plates are spelled.

Below, all 256 are rebuilt from their letter codes. Compare them with the seventy-two full designs in the companion article to see how these small blocks tile up into the book's plates.

Click any design to flip it and read its letters.

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Douat's 256 designs, each rendered from its four-letter code (numbering as printed, 1–256).

This is a companion to Douat: An Alphabet of Tiles, which tells the story and shows the seventy-two full designs.

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