So I went on my journey of looking up how to draw a perfect ellipse in perspective. Step 1: draw a perfect square..... Wha.... How do you do that? I dredged through the interwebs, art forums, even going so far to a few Art Center students to limited success. Finally I came across a really long-winded series of videos for one point perspective ( http://www.youtube.com/watch?v=sfDbXPPzo0c ).
For the sake of myself, and anyone that happens across this, I'd like to reinterpret the video with a quick image/walk through. Let me preface this in saying, using this in a piece or planning is WAY too much work, and very limited. My intention of using this is to check my eyeballing- ie. draw 10 eyeballed squares, check them with this method, correct accordingly.
- Draw 2 horizantal lines perpendicular to one another. The top one is the horizon line(HL), bottom is the ground line(GL). For the purpose of the exercise, a portion of the GL will be the closest leg of the square in space.
- Measure between the HL and GL and multiply the distance by 1.73* (photoshop users can just use rectangle marquee to select the gap, then in the height dimensions type 173%). Measure the new quantity from the horizonline, and mark, this will be your eye point (EP).
- Start your square, draw a reasonable length near the vertical line we just drew and create the front leg, and converge the edges toward the VP.
- From the EP, measure 45 degrees each way from the center (photoshop users can make a square, rotate it 45 degrees and mark both edges). Draw 2 lines outwards until you meet the HL, mark the convergent points.
- Connect the 2 initial points of your square to the opposite Median point (MP). You really only need to do 1, but 2 will help to make sure your work is correct.
- VOILA! connect where the last 2 lines converge with your vanishing square legs and you have your last leg.
*Admittedly, I'm not sure the significance of 1.73. If I were to guess it has something to do with treating the square as 2 triangles, being that the square root of 3 is 1.73 blah blah blah. It works.