Which needs fewer colors? v2

A cube and an 18-faced solid are shown, along with their nets. Loren would like to color the solids so that every face is colored and no pair of adjacent faces are colored the same. Which solid needs fewer colors to accomplish this?

Note : Faces that share a vertex but not an edge may be colored the same.

The cube The 18-faced solid Both solids need the same number of colors

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