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I was going to countHere is$a(3,2)$ by hand in this drawing, butwhich confirms Gerhard's count of $340$the task is more tedious than I anticipated.regions:
[![3x3][1]][1]
(Now corrected, as per Gerhard's comment.)
I was going to count$a(3,2)$ by hand in this drawing, butthe task is more tedious than I anticipated.
[![3x3][1]][1]
(Now corrected, as per Gerhard's comment.)
Here is$a(3,2)$, which confirms Gerhard's count of $340$regions: