Osgood curves Posted on 2019/12/16 by Carl Robitaille Osgood curves There is no injective space-filling curve. However, there do exist injective curves with nonzero area. These are called Osgood curveshttps://t.co/ezeQejes8n pic.twitter.com/h8tBSiwECj— Akiva Weinberger (@akivaw) December 15, 2019