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The graph LqQ@Og_C?K`K?N

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

Embedding

An embedding of this graph is given by.

(6, 12, 0)
(12, -6, -2)
(12, -6, -6)
(4, 4, 12)
(0, -4, 12)
(8, -4, -12)
(8, 12, 4)
(0, 12, -4)
(0, 12, -12)
(12, 6, -6)
(12, -12, 12)
(12, 0, 0)
(0, 12, 12)