Tetragonal trapezohedron

In geometry, a tetragonal trapezohedron, or deltohedron, is the second in an infinite series of trapezohedra, which are dual to the antiprisms. It has eight faces, which are congruent kites, and is dual to the square antiprism.

Tetragonal trapezohedron

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Typetrapezohedra
ConwaydA4
Coxeter diagram
Faces8 kites
Edges16
Vertices10
Face configurationV4.3.3.3
Symmetry groupD4d, [2+,8], (2*4), order 16
Rotation groupD4, [2,4]+, (224), order 8
Dual polyhedronSquare antiprism
Propertiesconvex, face-transitive
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