The tile
Drag the blue dots; click a solid edge to add one; Draw and Erase sketch and remove. In 2×, drag empty space to pan.
The plane
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Inspired by M.C. Escher and his lifelong pursuit of the regular division of the plane — an obsession sparked by the Moorish tilework of the Alhambra in 1922, which filled his notebooks with interlocking lizards, birds, and fish. Each mode here is one of the rotation systems he worked in: deform a quadrilateral, square, triangle, or hexagon into a creature of your own, or try the Trio, where hexagons, squares, and triangles interlock at once. Whatever you draw on a solid edge is carved from its partner, just as in his studies — down to the blue dots he used to mark his working vertices — so the tile always locks together and the plane always fills.
Drag the blue dots; click a solid edge to add one; Draw and Erase sketch and remove. In 2×, drag empty space to pan.
Every dot of the current shape, listed in tile coordinates. Copy it to save a design; paste one back in to restore it exactly — the JSON and the edge list above both work.