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Dr. Lou Talman
Dept. of Mathematical
and Computer
Sciences
Metropolitan State Univ.
of Denver
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Dodecahedron
NCB Deposit # 118
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V + F - E =2
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Background for the student. . . .
All platonic solids - the tetrahedron, cube, octahedron, dodecahedron
and icosahedron - are Hamilton Circuits and may be traversed by
crossing each vertex only once.
Please see
< ..//hamiltoncircuit/hamiltoncircuit.htm
> for more information.
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References
Modern graph
theory texts will have extensive
material on contributions by Leonhard Euler (1707-1783) and Sir William
Rowan Hamilton (1805-1865). This particular web page by Dr. Lou
Talman followed Deposit # 115 by Dr. Peter Avery.
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Brian Hopkins and
Robin J. Wilson, "The Truth about Königsberg," The
College Mathematics Journal, Vol. 35, No. 3, May 2004, pp. 198-207.
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| Harary, Frank, Graph
Theory, Addison–Wesley, 1969. |
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2012
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