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The graph MN?GOG`Oc?O@Ai@T?

This graph is embeddable. It is even 21-grid embeddable.

Embedding

An embedding of this graph is given by.

(20, -10, -10)
(20, 20, -10)
(16, -20, -8)
(10, 0, 20)
(0, 20, 0)
(20, 0, 10)
(0, 0, 20)
(4, -20, -8)
(0, -8, 20)
(20, -20, 0)
(0, 20, -20)
(20, 20, 20)
(20, 0, 0)
(10, 10, -20)