Vorgus's Drawabox Journey - Part 3

In this section we're actually getting to the box part of Drawabox. Exciting!

Lesson 1/6 - Perspective & Projection

  • 3D space consists of 3 dimensions, XYZ, and it is easily represented by a box.
  • 2D Terms: Shape, Line, Point; 3D Terms: Form, Edge, Vertex.
  • Perspective Projection is how we take 3D objects and capture them on the 2D page.

Lesson 1/7 - Vanishing Points

This was a big page - lots to learn here!

  • Foreshortening consists of visual cues that tell us how close or far away things are.
  • Visual cues include degree of shift in ellipses, object size, and distance between objects.
  • Parallel edges converge at a vanishing point.
  • Dramatic convergence describes edges that exist in "depth. with a close vanishing point.
  • Gradual convergence describes edges that are closer to their "actual" size with a far vanishing point.
  • The Horizon Line is the far end of the ground plane, and edges parallel to it will have their vanishing points on it.
  • Rotating boxes vanishing points move slowly towards the center, and faster away from the center the more parallel those edges become to the horizon line.

Lesson 1/8 - Rotation, Grids, & Infinity

This was pretty theoretical and hard to wrap my head around, but I'll try to sum it up.

  • The horizon line, in a diagram seen from above, is better represented as a circle around the viewer so that the distance from the viewer is equal all the way around.
  • As an object turns it's vanishing points travel around the circular horizon line at a constant rate, but once projected back onto a straight horizon line the vanishing points move at different rates.
  • A vanishing point at infinity is when an edges vanishing points is parallel to the horizon line.

Lesson 1/9 - Guidelines & 1/10 - Notes

 These are some general rules of thumb.

  • 1 Point Perspective - 2 axis of the box have vanishing points at infinity.
  • 2 Point Perspective - 1 axis of the box has vanishing points at infinity.
  • 3 Point Perspective - None of the vanishing points are at infinity.
  • If the far ends of a box are considerably smaller than the near ends that box has dramatic foreshortening. If the ends are similar than it shallow foreshortening.
  • Dramatic foreshortening is for very large objects or very close to your eye objects.
  • Shallow foreshortening is for human size objects, or very far objects.
  • Low horizon - you are low to the ground; High horizon - you are high up from the ground.
  • Eye line, horizon line, objects horizontal axis typically the same, but not necessarily.

This distortion stuff is kind of tricky, best to look at the diagrams on the Drawabox website.

  • Distortion occurs when a box falls outside of the space between it's 2 vanishing points.
  • Our picture plane should take up about 60% of our Field of View.

Finally, after all that reading, I got to the homework exercises. This time there are 4! Plotted perspectiverough perspectiverotated boxes, & organic perspective.














Some of these were a real doozy, but felt really good to complete. They made me really pay attention to how lines converge.

Again, here are the 50% drawings.










This was a big section and took me a long time to get through. I'm also realizing that all these exercises are supposed to become warmups for me to do anytime I sit down to draw... I'll have to start doing that because I haven't up until now. The next thing is the 250 box challenge!

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