Math in… Flag Design

The number of stars on the US flag has changed over the years to reflect the number of states in the union. As new states joined, flag makers had to figure out how to fit the new stars!

Before Alaska and Hawaii became states, the 48 stars were organized into a simple 8×6 grid.

For the year before Hawaii joined but after Alaska did, the 49 stars were shown in 7 staggered rows of 7 stars.

Now that we have 50 states, their stars are displayed in a pattern of interlaced 6×5 and 5×4 grids:

What would be a good pattern for 51 stars?

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