Using either the fully supported or Miller's rules criterion (Webb), the regular
octahedron has two reflexible stellations: the octahedron itself and the stella
octangula .
The 8 face planes are illustrated above.
The stellation diagram obtained by the intersection of 6 planes not parallel to a fixed plane is illustrated above (Wenninger 1989, p. 36, Fig. 24) and corresponds
to the 2-triangular grid graph .
See also Regular Octahedron ,
Stella
Octangula ,
Stellation
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References Webb, R. "Enumeration of Stellations." http://www.software3d.com/Enumerate.php . Webb, R. "Octahedron." http://www.software3d.com/Octahedron.php . Wenninger,
M. J. Polyhedron
Models.
Cite this as:
Weisstein, Eric W. "Octahedron Stellations."
From MathWorld https://mathworld.wolfram.com/OctahedronStellations.html
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