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The graph M@O?CIAP@C`cCo}??

This graph is embeddable. It is even 17-grid embeddable.

Embedding

An embedding of this graph is given by.

(16, 16, 8)
(16, -8, -4)
(16, 0, 0)
(0, 16, 8)
(10, 16, 8)
(16, 16, -4)
(16, 0, 8)
(16, -16, 0)
(8, 0, -16)
(4, 0, 16)
(0, 16, 0)
(16, -14, 8)
(8, 8, -16)
(0, -8, 16)