The Spiling
A boat's hull curves in three dimensions. Every plank must follow a compound shape — wider amidships, narrower at bow and stern, twisted to meet frames that change angle along their length. No plank can be cut by measuring the hull directly, because there is no straight reference to measure from. Instead, a boatbuilder uses spiling: a flexible batten is held against the frames, and at regular intervals, the builder marks the distance from the batten's edge to the frame's surface. These tick marks — not the curve itself — are transferred to the plank stock. The shape is reconstructed from the gaps.
Cartographers faced the same problem before aerial photography. To map a coastline, a surveyor could not measure the shore directly — it was too irregular, too long, too inaccessible. Instead, the surveyor established a baseline inland and took angular measurements to visible points along the coast. The coastline emerged as a pattern of deviations from the known line, not as a direct tracing. The map was a reconstruction from the difference between where the baseline was and where the shore was. The baseline was wrong on purpose — its wrongness was the measurement.
Interferometry in physics uses the same indirection at the scale of light waves. To measure a surface to nanometer precision, a reference beam of light is split and one half reflects off the surface being measured. When the two beams recombine, their interference pattern reveals the difference between the reference and the surface — not the surface itself. LIGO's gravitational wave detectors work this way: the signal is not the wave but the discrepancy between two laser paths that should be identical but are not.
Spiling is measurement by controlled mismatch. You begin with something that does not fit — a straight batten against a curved hull, an inland baseline against a ragged coast, a reference beam against a distorted surface — and you measure the failure of fit. The shape you need is not in the thing you are measuring. It is in the difference between the thing and the reference you brought to it. Direct measurement assumes you can touch what you are measuring. Spiling assumes you cannot, and builds the shape from what falls between.