Heptagonal-truncated tetrahedral duoprism

{{Infobox polytope The heptagonal-truncated tetrahedral duoprism or hetut is a convex uniform duoprism that consists of 6 truncated tetrahedral prisms, 4 hexagonal-heptagonal duoprisms and 4 triangular-heptagonal duoprisms.
 * type=Uniform
 * dim = 5
 * img=
 * off =
 * obsa = Hetut
 * terons = 7 truncated tetrahedral prisms, 4 hexagonal-heptagonal duoprisms, 4 triangular-heptagonal duoprisms
 * cells = 7 truncated tetrahedra, 6+12 heptagonal prisms, 28 hexagonal prisms, 28 triangular prisms
 * faces = 12 heptagons, 28 hexagons, 42+84 squares, 28 triangles
 * edges = 42+84+84
 * vertices = 84
 * rad = $\sqrt{22+4{csc^{2}π/7}}/4 ≈ 1.64408
 * verf = Isosceles-triangular scalene
 * symmetry = I2(7)×A3, order 336
 * dual=Heptagonal-triakis tetrahedral duotegum
 * conv = Yes
 * orientable=Yes
 * nat=Tame}$