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The graph M@A?_PC_pBH?B`{@?

This graph is embeddable. It is even 7-grid embeddable.

Embedding

An embedding of this graph is given by.

(0, -4, 6)
(0, 0, 6)
(0, 6, -6)
(0, 6, 6)
(6, 0, -6)
(4, -6, -4)
(6, 6, -6)
(6, -2, 6)
(6, 4, 0)
(2, -6, -4)
(4, -6, -6)
(0, 6, 0)
(6, 0, 6)
(6, 0, 0)