English: The orthogonal projection of the 16-cell to an octagonal plane reveals its structure as several overlapping skewoctagrams: its skew octagram {8/1} Petrie polygon (purple), the two completely orthogonal great squares of its skew octagram 2{4} Hopf fibration (yellow and orange), the skew regular octagram {8/3} (blue) that is the edge-path of its characteristic isoclinic rotations, and its four orthogonal axes, an octagram 4{2} (black dashed lines), which are the chords of the geodesic paths of those isoclinic rotations.
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