Food Stuff - Square Melons Make an Uncommon Gift - NYTimes.com For a steep price, these bizarre square seedless watermelons could make an uncommon red and green house gift for the holidays. They're grown in boxes according to a Japanese technique, and cultivated in Panama. They will be sold starting Dec. 17. Square melons weigh about 15 pounds and are $75 each (or $5 a pound cut) at Agata & Valentina, Grace's Marketplace stores and Kings Super Markets.