Series

Anamorphrecovery — the series

3 essays on one idea, from the one that introduces it to the one that assumes the rest.
  1. axis — the ground line, fixed pointwisecentreaxisthe ground linefixed pointwisecentre(0.150, 4.020)height + distanceratio-1.481481−distance / heightheight × aspect = 2.592, and neither aloneeye recovered to 4.8e-12 mmeye 1.62 m up, 2.40 m backthree numbers back to the eye: 2.2e-16 m

    The marks name the place, not the height

    Run the camera-recovery round trip on an anamorph — hand it the floor marks and ask for the eye back — and it returns the spot on the floor to eleven decimal places with nothing assumed at all. It does not return the height. What the marks fix is the product of the eye's height with the design's aspect ratio, and no amount of looking at the floor separates the two.

    part 5 · viewing
  2. 020406011.5022.503candidate height for the eye, in metreswhat the best rectangle leaves over, in millimetresa flat floor: every height fitsthe eye that made the markscurvature costs the collineationand buys the parameter back

    The height a flat floor cannot give

    The marks of a floor anamorph name the eye's position on the floor exactly and say nothing about how high it was — every candidate height explains them perfectly, to one part in a thousand trillion. That is a fact about planes rather than about anamorphs. Ripple the floor by six centimetres and the family collapses: the true height explains the marks exactly and the nearest wrong one, five centimetres away, leaves two millimetres on a design 1.8 metres wide.

    part 6 · viewing
  3. 02.5057.5010020406080how far the floor is folded from flat (°)what a 10 cm error in the height leaves (mm)two degrees: 0.58 mma design 1.4 m wide, the eye 1.62 m up, the crease at 1.2 mflat: 1.5e-13 mm · 90°: 9.3 mm

    A fold names the height

    A pavement anamorph’s marks fix where the reader must stand and leave how tall they are entirely free — every height explains the marks exactly, to the last bit. Put one crease in the floor and the freedom is gone, because two degrees of fold makes a ten-centimetre error in the height leave six tenths of a millimetre, and a right angle makes it nine.

    part 7 · viewing

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