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The graph L`?GWP@_PHAQ{?

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

Embedding

An embedding of this graph is given by.

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