Geometry: An Interactive Journey to Mastery

Lesson 33: The Geometry of Braids—Curious Applications

4. Show that, with three strands in a braid, a left crossing
   ͼ௘RIDQ\NLQG௘ͽIROORZHGE\DULJKWFURVVLQJͼ௘RIDQ\NLQG௘ͽ
   IROORZHGE\DOHIWFURVVLQJͼ௘RIDQ\NLQG௘ͽLVSK\VLFDOO\
   HTXLYDOHQWWRQRFURVVLQJVͼ௘6HHFigure 33.3௘ͽ


5. Explain Problem 1: Why is any braid on three strings with the middle strand ending in the middle position
   physically equivalent to no braid at all?

Figure 33.3