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The Merkaba religious symbol, for example, is a stellated octahedron.
The stellated octahedron can be seen as either a polyhedron compound or a stellation:
This convex polyhedron is topologically similar to the concave stellated octahedron.
Its shape is derived from a stellated octahedron, but the tips of the vertices are truncated to form small triangles.
The stellated octahedron, or stella octangula, is the only stellation of the octahedron.
The Stellated octahedron and other polyhedra also appear in M. C. Escher's print "Stars".
The stella octangula numbers are figurate numbers that count the number of balls that can be arranged into the shape of a stellated octahedron.
The 4D8 Puzzle is a puzzle similar to the Rubik's Cube, in the shape of a truncated stellated octahedron.
Specifically, the line pattern includes projections of a double tetrahedron (aka stellated octahedron), a cube within a cube (a three dimensional projection of a tesseract), and an octahedron.
One of these two crossings is visible in the stellated octahedron; the other crossing occurs at a point at infinity of the projective space, between two parallel edges of the two tetrahedra.
The two tetrahedra of the compound view of the stellated octahedron are "desmic", meaning that (when interpreted as a line in projective space) each edge of one tetrahedron crosses two opposite edges of the other tetrahedron.