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The graph MGC?H@CAocOH`H}??

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

Embedding

An embedding of this graph is given by.

(20, 0, 0)
(20, -20, -20)
(20, 10, 10)
(20, -4, -4)
(8, 20, 20)
(20, 0, -20)
(20, -4, 20)
(10, -20, 0)
(20, 0, 20)
(20, 10, -18)
(4, 20, 0)
(0, 0, 20)
(0, 20, 0)
(0, -20, 20)