We all know those little riddles that entertain mathematicians at the end of lunch at the cafeteria. Here is one of them:

Connect the following nine points by four straight lines, without lifting your pencil.

°             °             °



°             °             °



°             °             °



Easier said than done. The solution in the video below shows that you should not get contained in your thinking habits...


MathOMan connects 9 points with 4 lines


Smiling Bin is even more witty and takes her revenge by challenging me with the following task, which must be impossible for any specialist on connectivity questions in topology.

Without lifting your pencil draw a circle and its center (but not more).

Here is the video where she shows us her tricky solution:


Bin draws a circle and its midpoint