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On this page are computer-accessible forms for the graph C4[ 6, 1 ] = Octahedron.

(I) Following is a form readable by MAGMA:

g:=Graph<6|{ {2, 3}, {4, 5}, {1, 3}, {4, 6}, {1, 2}, {5, 6}, {1, 5}, {2, 6}, {2, 4}, {3, 5}, {1, 6}, {3, 4} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (1, 2)(4, 5)
b: (2, 3)(5, 6)
c: (3, 6)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 6, 1 ]
6
-1 2 3 5 6
-2 1 3 4 6
-3 1 2 4 5
-4 2 3 5 6
-5 1 3 4 6
-6 1 2 4 5
0

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