What is "small icosihemidodecahedron"

n. a polyhedron having 26 faces, 30 vertices and 60 edges

In geometry, the small icosihemidodecahedron is a uniform star polyhedron, indexed as U. Its vertex figure alternates two regular triangles and decagons as a crossed quadrilateral.

It is given a Wythoff symbol, 3/2 3 | 5, but that construction represents a double covering of this model.

It is a hemipolyhedron with its six decagonal faces passing through the model center.