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Gyroelongated Pentagonal Pyramid


J11J11Net

The gyroelongated pentagonal pyramid is Johnson solid J_(11) and can be obtained by cumulating the top of a pentagonal antiprism, or alternately by replacing one pentagonal pyramid of an icosahedron with a pentagon. Removing a second pentagonal pyramid from an icosahedron gives a metabidiminished icosahedron.

J11Skeleton

The skeleton of the gyroelongated pentagonal pyramid J_(11) appeared in Zaks (1976) and was used by Owens (1980) in the construction of a 76-node polyhedral quintic nonhamiltonian graph (though neither author identified the graph as the skeleton of any particular polyhedron).


See also

Antiprism, Johnson Solid, Metabidiminished Icosahedron, Pentagonal Pyramid

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References

Owens, P. J. "On Regular Graphs and Hamiltonian Circuits, Including Answers to Some Questions of Joseph Zaks." J. Combin. Theory, Ser. B 28, 262-277, 1980.Zaks, J. "Pairs of Hamiltonian Circuits in 5-Connected Planar Graphs." J. Combin. Th. Ser. B, 116-131, 1976.

Cite this as:

Weisstein, Eric W. "Gyroelongated Pentagonal Pyramid." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GyroelongatedPentagonalPyramid.html

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