
Journal R.A.Small's Journal: Stellated Cube 1
Stellation is accompanied by the addiction of a corner--imposing a shallow pyramid on a formerly flat face. How many sides the pyramid will have is determined by the number of edges of the face to be stellated. Figure 4-6 compares a stellated cube and a stellated octahedron. Notice that the cube's superimposed pyramids have four sides, while the octahedron's have three. Degenerate stellation occurs when the attitude of the added pyramids is such that adjacent faces of neighboring pyramids become complainant.
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Correction [angelfire.com] to the post for which this is a reply to.