Small icosihemidodecahedron
Type	Uniform star polyhedron
Elements	F = 26, E = 60 V = 30 (χ = −4)
Faces by sides	20{3}+6{10}
Coxeter diagram	(double covering)
Wythoff symbol	3/2 3 | 5 (double covering)
Symmetry group	Ih, [5,3], *532
Index references	U49, C63, W89
Dual polyhedron	Small icosihemidodecacron
Vertex figure	3.10.3/2.10
Bowers acronym	Seihid

In geometry, the small icosihemidodecahedron (or small icosahemidodecahedron) is a uniform star polyhedron, indexed as U₄₉. It has 26 faces (20 triangles and 6 decagons), 60 edges, and 30 vertices.^[1] Its vertex figure alternates two regular triangles and decagons as a crossed quadrilateral. It is a hemipolyhedron with its six decagonal faces passing through the model center.

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