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

Oblique — the series

2 essays on one idea, from the one that introduces it to the one that assumes the rest.
  1. elevation1.0000a circleisometric0.57741 : 1.732cabinet1.0000a circlecavalier1.0000a circlethe xy plane's drawn ellipseratio of the ellipse's axes, sampled

    Oblique is a shear, and the shear is the whole system

    Cavalier and cabinet are usually introduced as easy perspective for people with a set square. They are not a simplification of anything — they are the answer to a demand no orthographic projection can meet, which is a front face at true size and a depth axis at full length at the same time. The two are locked on a unit circle, and buying both costs exactly 45° of obliquity.

    part 2 · parallel
  2. plan: two different solidsthe picture, unmoved to 0e+0 pxcabinetkernel (0.32, 0.32, -0.89)

    What one oblique drawing shows

    A parallel projection is a linear map from three dimensions to two, so it has a direction it throws away. Slide any point along that direction and its mark does not move — which makes every parallel drawing the drawing of a three-parameter family of solids, and the depth scale a convention chooses is one direction through the family rather than a boundary of it.

    part 3 · parallel

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