The skeleton of a polyhedron is the graph obtained by deleting its faces while retaining its edges
and vertices. The polyhedral
graphs corresponding to the skeletons of Platonic
solids are illustrated above. The numbers of nonisomorphic
skeletons of bounded three-dimensional convex polyhedra
with 
graph vertices
for 
, 5, 6, ... are 1, 2, 7, 34, 257, ...
(OEIS A000944).
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
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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
A000944/M1796 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
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