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The graph MbUC@?H?`?__@F?x?

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

Embedding

An embedding of this graph is given by.

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