Hendecahedron

A hendecahedron (or undecahedron) is a polyhedron with 11 faces. There are numerous topologically distinct forms of a hendecahedron, for example the decagonal pyramid, and enneagonal prism.

Three forms are Johnson solids: augmented hexagonal prism, biaugmented triangular prism, and elongated pentagonal pyramid.

Two classes, the bisymmetric and the sphenoid hendecahedra, are space-filling.^[1]

Convex

There are 440,564 topologically distinct convex hendecahedra, excluding mirror images, having at least 8 vertices.^[2] (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.)

References

↑ Inchbald (1996)
↑ Counting polyhedra

Inchbald, Guy (1996). "Five space-filling polyhedra". The Mathematical Gazette 80 (489): 466–475. doi:10.2307/3618509. ISSN 0025-5572. Zbl 0885.52011.

External links

Weisstein, Eric W., "Undecahedron", MathWorld.

Polyhedra

Listed by number of faces

1–10 faces	Monohedron Dihedron Trihedron Tetrahedron Pentahedron Hexahedron Heptahedron Octahedron Enneahedron Decahedron

11–20 faces	Hendecahedron Dodecahedron Tridecahedron Tetradecahedron Pentadecahedron Hexadecahedron Heptadecahedron Octadecahedron Enneadecahedron Icosahedron

Others	Triacontahedron Hexecontahedron Enneacontahedron Apeirohedron

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