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Aheptadecahedron (orheptakaidecahedron) is apolyhedron with 17faces. No heptadecahedron isregular; hence, the name is ambiguous. There are numerous topologically distinct forms of a heptadecahedron; for example, thehexadecagonal pyramid andpentadecagonal prism.

The infiniteLaves graph has convex heptadecahedralVoronoi cells. Because of the symmetries of the graph, these heptadecahedra areplesiohedra and form an isohedraltessellation of three-dimensional space.^[1] Other convex polyhedra with 17 faces are theArchimedean solid of acuboctahedron and fourJohnson solids ofpentagonal rotunda,triangular orthobicupola,triaugmented hexagonal prism, andaugmented sphenocorona.^[2]

• 
  The heptadecahedron that tiles space in the Voronoi diagram of the Laves graph.
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  Pentagonal rotunda, the sixthJohnson solid${\displaystyle J_6}$
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  Triaugmented hexagonal prism, the fifty-seventh Johnson solid${\displaystyle J_{57}}$
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  Augmented sphenocorona, the eighty-seventh Johnson solid${\displaystyle J_{87}}$

There are 6,415,851,530,241 topologically distinctconvex heptadecahedra, excluding mirror images, having at least 11 vertices.^[3] (Two polyhedra are "topologically distinct" if they have intrinsically different arrangements of faces and vertices, such that it is impossible to distort one into the other simply by changing the lengths of edges or the angles between edges or faces.)

• What Are Polyhedra?, with Greek Numerical Prefixes

• Polyhedra

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