Series

Noeye — the series

3 essays on one idea, from the one that introduces it to the one that assumes the rest.
  1. no single viewpoint — the rays miss by no distance at all — the rays are parallel13 of 21 faces

    A picture with no eye

    The anamorph field measured which parts of an object one eye can paint, and every finding in it is about a point. A parallel projection has no such point, so the same questions have a different shape — and the two that change are the dimension of the answer and the map onto each face. The one that does not change is occlusion, which is routinely assumed away.

    part 1 · parallel
  2. no single viewpoint — the rays miss by no distance at all — the rays are parallel3e-14 px of movement

    Nothing moves along the direction

    A part slid four metres toward the reader along the direction an isometric drawing projects along keeps its drawn place to a ten-thousandth of a pixel, and the same slide seen from a station point moves it forty-four. An exploded drawing is not an approximation that works because the parts do not move far — it is an identity, and it is why cutaways are drawn in parallel systems.

    part 2 · parallel
  3. face 15.75×1.00× parallelface 21.41×1.00× parallelface 31.34×1.00× parallelface 41.13×1.00× parallelface 51.05×1.00× parallelface 61.03×1.00× parallelface 71.00×1.00× parallelface 81.00×1.00× parallelthe spread of scale within one faceparallel: 1.000000×

    One face, one scale

    A design carried from a point onto a flat face varies in scale by nearly six across that one face; the same design carried along a direction varies by 1.000000000. The stretch is reported here as the two singular values of the local map rather than as one directional difference, which is the honest form and which the previous round owed.

    part 3 · parallel

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