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The graph M`YC?`@A`_?_@F?x?

This graph is embeddable. It is even 9-grid embeddable.

Embedding

An embedding of this graph is given by.

(8, -4, 2)
(2, 8, 8)
(4, 8, 8)
(8, -2, -2)
(0, -8, 8)
(4, 4, -8)
(4, 8, 0)
(2, 8, 0)
(8, -2, 0)
(8, -4, -4)
(0, 8, -8)
(8, -8, 0)
(8, 8, 8)
(0, 0, 8)