Bubbles with knotted boundaries

We can think of a mathematical knot as a knotted piece of string (or in our case, wire) with its free ends joined. Examples are shown below. There is a remarkable theorem that every knot can be realized as the boundary of a surface. Moreover,┬áHerbert Seifert produced a very simple algorithm for constructing an orientable…

Congress designates 3/14 National Pi Day

In the news: Ya can’t make it up: House praises pi National Pi Day? Congress makes it official Here’s the vote on C-Span. The vote was 391 yeas, 10 nays, 30 not voting. Who were the 10 Representatives who voted against it? Jason Chaffetz (R-Utah) Jeff Flake (R-Arizona) Dean Heller (R-Montana) Timothy Johnson (R-Illinois) Jeff…