Question 15
Andrea folds four identical numbered nets into cubes, then forms one block so that only faces with equal numbers touch. Find the largest sum of numbers on the block’s outer surface.

Pictured-shape clarification: use the 2 × 2 × 1 arrangement shown. A different connected arrangement is analysed separately in the proved extension.

Pictured-shape clarification: use the 2 × 2 × 1 arrangement shown. A different connected arrangement is analysed separately in the proved extension.