Plate I · Of Tiles

The Tile That Cannot Err

A quarter-turn in either direction, and the path still joins. data-background="truchet"

Plate II · Of Curves

One Line Visits Every Room

The curve that fills the square without once crossing itself. data-background="hilbert"

Plate III · Of Interference

Two Truths, Overlaid

Neither ring field moves quickly; the bands between them race. data-background="moire"

Plate IV · Of Mirrors

Symmetry, Manufactured

One angle folded until the whole circle agrees. data-background="kaleidoscope"

Plate V · Of Territories

Nearest-Neighbor Provinces

Every point swears fealty to its closest center; borders are the undecided. data-background="cells"

Plate VI · Of Heights

The Mountain, Flattened

Elevation drawn as the lines where equal heights walk. data-background="topology"