Projection
Uniform sectioned objects are easily constructed using projection. First construct a simple rectangular box. Then draw a profile curve in the front face. Extend this profile to vanishing point A. The counterparts of the points on the profile curve that intersect with the Bounding box are easily constructed. The other points can be constructed by drawing some contructionlines along the corresponding planes and finding the intersecting points. Do this for all the points and connect the constructed points in the back plane. Highlight the visible edges to finish off.

Projection is widely used in perspective to construct shapes upon other shapes. The following exercice explains the principle of projection. We’ll need projection to construct a chimney on the roof of the house we drew earlier. First we’ll define the section of the chimney by creating a square on the bottom plane of the house. Extend the edges that go the the right viewpoint. Draw two verticals where they intersect with the left edge of the bottom plane. Use the edges of the roof as reference to extend these same lanes along the roof. Draw another set of vertical from eacht corner-point of the chimney-section. Connect the intersecting lines to create the cross section between the roof and the chimney. To complete the chimney indicate a height on the vertical that is nearest to you. Complete the chimney by creating the vanishing lines and highlighting the upper plane. We could also use the front face of the house as a reference and project allong there continuing on the roof towards the vanishing point on the left. There are many ways to construct a shape in perspective but the principle is mostly the same. Using the reference planes of the bouning box and the vanisching points to construct intersections and thereof planes and other shapes.

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