This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

• Lexulous
• Wordscraper
• Wordosaur

n. The state or quality of being squarish.

"On this face and that wall, bullet holes decorated the next layer, of dumpiness and squarishness, prettied up on the front with plaster and with bright, childish advertising on the side."