Visual Plane
every picture states the point it is correct from
Series

Ruler — the series

2 essays on one idea, from the one that introduces it to the one that assumes the rest.
  1. isometric0.57741 : 1.732dimetric0.88191 : 1.134cavalier1.0000a circlemilitary0.57741 : 1.732the xy plane's drawn ellipseratio of the ellipse's axes, sampled

    A ruler on an isometric drawing

    Isometric drawing has one scale — 0.8165 — and every account of it stops there. But that number is about three directions and a drawing has infinitely many, so a length measured off the paper and divided by 0.8165 comes back anywhere between √(1/2) and √(3/2) of the truth: 29.3% short to 22.5% long, with nothing in the picture to say which.

    part 4 · parallel
  2. plan: the apex has movedfree along the kernelisometricrecovered to 1e-16

    The drawing that gives the solid back

    One parallel view of a general point determines nothing: two equations, three unknowns, and the kernel is free. What closes it is not a second view but the correspondence — knowing which drawn edge runs along which world axis — and with it the whole solid comes back out of one drawing, exactly.

    part 5 · parallel

All series