As part of her 2025 MAA-SE plenary talk, Catherine Hsu introduced cards that represented elements of the group $S_2\wr S_3$ for a game similar to SET. We call these cards Wreath cards and pull out the 24 cards (the $\mathcal{R}$ deck) that correspond to the group of rotations of a cube. We propose a ``game” to express a drawn card from the $\mathcal{R}$ deck as a product with factors chosen from three designated generators for $\mathcal{R}$. The player is also challenged to physically manipulate a cube to demonstrate the product.