As a matter of fact, yes, planes <i>can</i> be tied in knots.<p>Here&#x27;s a page from &quot;Knotted Surfaces and Their Diagrams&quot; by J. Scott Carter: <a href="http:&#x2F;&#x2F;i.imgur.com&#x2F;2rIKJ8E.png" rel="nofollow">http:&#x2F;&#x2F;i.imgur.com&#x2F;2rIKJ8E.png</a>