Refer to Figure 2.11(b) in which a regular tiling by triangles that is not edge-to-edge...

Refer to Figure 2.11(b) in which a regular tiling by triangles that is not edge-to-edge is constructed by sliding alternating rows of an edge-to-edge tiling to the right.

a. If arbitrary rows were shifted, would the result still be a regular tiling?

b. If the top vertex of each triangle were not in the middle of a side, would the result still be a regular tiling?

c. Explain your reasoning for parts (a) and (b).