Experimental Topology + Analysis

Experimental Topology + Analysis

It is commonly accepted, but rarely drawn, that a Mobius band is a once punctured Projective Plane; a Whitehead lock is a twice punctured Projective Plane; a Borromean lock is a thrice punctured Projective Plane. In an experimental work, M. Phillips produced the following diagrams in which he produces the Olympic Chain from the thrice puncture Projective Plane. Either this is a counter-example or a mistake. From either his drawings or your own, determine what is the case.

max e1358982375945 Experimental Topology + Analysis

 

 

 

 

max2 Experimental Topology + Analysis

max3 Experimental Topology + Analysis