Small hexacronic icositetrahedron
Type	Star polyhedron
Face
Elements	F = 24, E = 48 V = 20 (χ = −4)
Symmetry group	Oh, [4,3], *432
Index references	DU13
dual polyhedron	Small cubicuboctahedron

In geometry, the small hexacronic icositetrahedron is the dual of the small cubicuboctahedron. It is visually identical to the small rhombihexacron. A part of each dart lies inside the solid, hence is invisible in solid models.

Its faces are darts, having two angles of , one of and one of . Its dihedral angles equal . The ratio between the lengths of the long edges and the short ones equals .

• Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208

• Weisstein, Eric W., "Small hexacronic icositetrahedron" ("Uniform polyhedron") at MathWorld.