1. The problem asks to identify the correct way to name the tiling pattern based on the given vertex configurations. 2. In tiling notation, numbers represent the number of sides of polygons meeting at a vertex, and exponents indicate how many of those polygons meet. 3. For example, $3^5, 6$ means five triangles and one hexagon meet at a vertex. 4. The options given are: - $3^5, 6$ - $4, 5^3$ - $3^5, 4^5$ - $4^5$ - $5^3$ 5. To name the tiling correctly, we look at the vertex configuration in the image (colorful polygonal tiling with irregular shapes). 6. Since the image shows a pattern with mostly pentagons meeting in groups of three, the correct notation is $5^3$. 7. Therefore, the correct way to name the tiling is $5^3$. Final answer: $5^3$