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The graph M@`E?YOW?gD??b?[_

This graph is embeddable. It is even 9-grid embeddable.

Embedding

An embedding of this graph is given by.

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