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Fritz Juhnke invented the Crossword Flow formula. He explains his thinking in this blog post.
This grid is an interesting example. Lots of open space in the corners pushes up the flow value, but the spiderweb around the DOTTED middle squares drags it down.
XWord Info has lots of stats, like flow, that can be calculated mathematically, such as word count, block count, open squares, Scrabble average, Freshness, and so on. I include them because I find them interesting, but it should go without saying that high or low values in any of those metrics don't correlate well with whether the puzzle is any good or not.
At 62-Across, IONE is central to electIONEering.
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