Ladder

Divergence — the ladder

2 distinct arguments against one idea, from the one that introduces it to the one that assumes the rest.
  1. they meet at y = 924, off the pagefar edge ÷ near edge = 1.32a one-point construction, swept through its splaythe point is below the near edge

    The picture whose lines spread

    In a Byzantine icon the sides of a table diverge with depth. The standard account says the vanishing point is behind the viewer. It is not — it sits below the near edge, in front of the eye, and it is the vanishing point of a direction running down and away.

    rung 1 · choices
  2. near edge 155 pxfar edge 196 pxrecovered: ratio 1.000000, corners 1e-14° from squarecorrect from 12 cm, at 160 mm wideplane tilted -45°

    An inverse perspective is a leaning plane

    Ask a divergent construction what solid it depicts and it answers: a rectangle, four right angles, near edge equal to far. What the splay encodes is not the shape but the plane's tilt — and a real square on a plane leaning toward the camera really does photograph with its far edge wider.

    rung 2 · choices

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