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>> No.1422745 [View]
File: 172 KB, 415x1433, CBPNG2.png [View same] [iqdb] [saucenao] [google]
1422745

My Jayne,

You responded quickly. My apologies for not checking the thread sooner.
Now then, let the lesson begin.

First, let me that it doesn't actually matter whether you use Isometric, Dimetric, Trimetric, or some other parallel perspective.

>Parallel Projection
The reason isometric perspective is different (from the way we see with our eyes) is not that you're working on a 30 degree or 25 degree isometric grid. The reason they're different is simply in the lack of vanishing points in all forms of Parallel Perspective. Hence, the specific angles involved in an isometric grid are not of fundamental importance, but are arbitrary.

Do not grow attached to the specific grid you are using. You are using Isometric view (which has many worthy lessons to take in), but you are doing it to build a mastery over 3D without vanishing points yet; Parallel Projection, as Wikipedia names it.

>Egg in 2D
See CBPNG.
Note how the use of center lines can be used for plain vertical measurement like I talked about 3 days ago (Direct Measurement).

>Egg in 3D
See this link first:
http://www3.ul.ie/~rynnet/keanea/images/cube&sphere_1_c.gif

Take a circle, fit it into a square in perspective, and draw it across the middle of a cube (result: green oval).
Take the longest part of the oval and use that length as a diameter to draw a circle (result: black sphere).

This is the way to fit a sphere into a cube.

Make one yourself. Then do one using a custom-made isometric grid.
I can explain three different methods of making an arbitrary grid if you don't like how you do it. Just remember that evenly spaced lines are essential for a consistent grid.

>Continued

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