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

This graph is embeddable. It is even 13-grid embeddable.

Embedding

An embedding of this graph is given by.

(6, 12, -12)
(8, -12, -8)
(0, 8, 12)
(0, 12, -8)
(10, 12, -8)
(12, 0, 6)
(12, -6, 0)
(6, 12, 0)
(12, 0, 0)
(12, -6, 6)
(12, 4, 6)
(0, 12, 0)
(6, 0, -12)
(0, 0, 12)