Small Stellated Dodecahedron
One of the Kepler-Poinsot Solids whose Dual Polyhedron is the GreatDodecahedron. Its Schläfli Symbol is 
. It is also UniformPolyhedron 
and has Wythoff Symbol 
. It was originally called the Urchin byKepler. 
It is composed of 12 Pentagrammic faces. Its faces are 
. The easiest way toconstruct it is to build twelve pentagonal Pyramids
and attach them to the faces of a Dodecahedron. The Circumradius of thesmall stellated dodecahedron with 
is
See also Great Dodecahedron, Great Icosahedron, Great Stellated Dodecahedron, Kepler-Poinsot Solid
References
Fischer, G. (Ed.). Plate 103 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, p. 102, 1986. Rawles, B. Sacred Geometry Design Sourcebook: Universal Dimensional Patterns. Nevada City, CA: Elysian Pub., p. 219, 1997.
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