A stellation is said to be fully supported if all its included cells are supported, i.e., if all its bottom faces are covered by their adjacent cells. In other words, every outward-directed ray from the center of the original polyhedron will cross the surface of stellation only once (Webb).
Fully Supported Stellation
See also
Miller's Rules, StellationExplore with Wolfram|Alpha
References
Webb, R. "Stella's Polyhedral Glossary: Fully Supported." http://www.software3d.com/Glossary.php#fullsup.Referenced on Wolfram|Alpha
Fully Supported StellationCite this as:
Weisstein, Eric W. "Fully Supported Stellation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FullySupportedStellation.html