This is all good info except for the gender thing. The round/long difference is just a growth habit. Watermelon plants (and other cucurbits like squash, zucchini, cantaloupe, etc) produce male and female flowers. Only the female flowers produce fruit and must be pollinated by a male flower to do so.
The markets where I buy are confident enough in their product that they cut the one you want to taste before you buy. I've never found a more reliable method than that.
Morgan Freeman taught me to flick melons to determine the ripeness in Unleashed, and I have honed the skill to a masterful level. Get weird looks from strangers sometimes tho..
I spent a season working in a packing house for watermelons. They'd come in by the crateload and we were allowed to just grab one to eat any time we wanted.
The trick I was taught, and which proved to be pretty reliable over the course of the season, was to feel the veins. (This is possibly what's being described as webbing here?) Watermelons aren't smooth, they have wide "veins" running top to bottom and you can feel them if you put your hand flat on the side of the melon. The bigger/poofier/wider the veins, the more ripe is it.
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