I am hoping to produce a map of blocks within a city thematically organized by the length of the longest edge of the block. I am not sure how to analyze a polygon based on edge length. Does anyone know of a good way to do this?
You could look at using the GP tool Feature To Line in data management\features and then for each unique polygon id find the largest line feature using the GP tool Summary Statistics where you want the feature with Max length and use the polygon feature id as the case field.