TOPICS
Search

Skeleton

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook
PlatonicGraphs

The skeleton of a polyhedron is the graph obtained by replacing its faces with its edges and vertices. The polyhedral graphs corresponding to the skeletons of Platonic solids are illustrated above. The number of topologically distinct skeletons N(n) with n graph vertices for n=4, 5, 6, ... are 1, 2, 7, 18, 52, ... (OEIS A006869).

The term skeleton is also used in algebraic topology for the p-skeleton of a simplicial complex or CW-complex.

See also

1-Skeleton, p-Skeleton, Polyhedral Graph, Schlegel Graph

Explore with Wolfram|Alpha

References

Gardner, M. Martin Gardner's New Mathematical Diversions from Scientific American. New York: Simon and Schuster, p. 233, 1966.Sloane, N. J. A. Sequence A006869/M1748 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Skeleton

Cite this as:

Weisstein, Eric W. "Skeleton." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Skeleton.html

Subject classifications