Concept

Handedness — where it appears

Whether a frame or a figure is left- or right-handed, which no rotation changes and every reflection reverses. It is the one property of a mirror image that cannot be repaired by moving the object, and an odd number of reflections reverses it where an even number restores it.

Named by 5 essays across 3 fields — each of them below, with the objects they name alongside it.

grey: the reflectiontwo routes, agreeing to 0e+0 px after one flip

A mirror is a second camera

Reflect the scene and photograph it, or reflect the camera and photograph the scene. The two routes disagree by 315 px and agree to the last bit once one axis of the image is reversed — which is the whole of why a mirror is said to swap left and right, written down.

light · Mirror
the objectseen along the line where the mirrors meet9 images

Two mirrors make one turn

Reflect a point in two mirrors meeting at 36° and the images arrive nine at a time, every one of them on a single circle about the line where the mirrors meet, to 4 × 10⁻¹⁶ m. The rule taught for the count — three hundred and sixty over the angle, less one — is right at six of nine angles tried and wrong at the rest, because it is a rule about angles that divide a half turn and it is quoted for angles that divide a whole one.

mirrors · Twomirrors
in section, two of the three facesworst 0.0e+0°

The corner that answers every eye

Three mirrors at right angles compose into the point inversion, so a ray entering leaves antiparallel to itself whatever direction it arrived from — a picture surface with no correct viewpoint because every viewpoint is correct. Tilt one face half a degree and the worst returning ray is out by exactly one degree, twice the error; the best is out by a twelfth of it, which is why a tolerance quoted from one measured ray is a statement about that ray.

mirrors · Twomirrors
divided from the far edge, tiring 5% a bayfrom the near edge, steadying 4.76% a bayfrom the near edge, tiring 5% a bayno creepfar-started against its twin: 3e-14 pxtable strip, splay 1.32, 6 bays, near edge at the bottomthe rows keep the ratio

A strip keeps its ratio, not the end it began

A painter dividing a strip into bays tires as they go, and each bay comes out a little larger than the last. Divide the strip from its far edge instead of its near one and the tiring runs the other way — but the rows record none of it: a strip divided from the far edge by a tiring hand is, to the last digits, a strip divided from the near edge by a steadying one. A whole picture recovers every strip's direction anyway, because one hand shared one rate of tiring across strips of different splay.

choices · Habit
-2-101212345interior row, counted from the near edgethe row's residual after habit and creep are fitted (px)slip grows from the far edgeslip grows from the near edgefloor strip, slip 0.6 → 1.8 px, divided from the far edgescore -0.92 → far edge

A strip's scatter points to the end drawn last

The size of a tiring painter's bays cannot say which edge of a strip they started from, because a creep read backwards is a creep. The scatter of the bays can: a hand that worsens as it goes leaves its largest slips on the rows it drew last. One six-bay strip names its edge three times in four when the slip triples, a four-bay strip carries no evidence at all, and a workshop that divided every strip from one edge is named nineteen times in twenty from six strips — with no creep in the picture.

choices · Habit

Named alongside it

The objects these essays reach for when they reach for this one.

degrees of freedomReflectionDihedralDrawing conventionFalsifiabilityFixed pointIsometryMirror planeModel errorResidualVirtual imageArcminute

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