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The MATLAB programs perspective.m and orthographic.m are designed to produce the cube pictures of Figure 3, but the programs can be altered to generate an unlimited number of constructions, for example, the one in Figure 1 and those to appear in the next section. Here is an outline for such programs:
The beginning:
The middle:
Tom Farmer, "Geometric Photo Manipulation - The Algorithm Explained," Loci (October 2005)
Journal of Online Mathematics and its Applications