# No Adjacent Colors on Cube

**Geometry**Level 5

**Details and Assumptions**

A turn on a Rubik's cube is either turning a face \(90^{\circ}\), \(180^{\circ}\), or \(270^{\circ}\) clockwise.

The Rubik's cube starts at its solved state.

In the picture below, \(1\) is adjacent to \(2\), \(3\), and \(4\). However, \(2\), \(3\), and \(4\) are pairwise non-adjacent.