The prompt for day 1 is 'Link'. In mathematics, a link is any arrangement of some number of loops in space. Mathematicians are interested in how the loops can be tangled together. A simple example of a link is a single loop with any knot tied in it. Another example is the Borromean rings. These three loops cannot be separated from each other even though no two of the loops are linked without the third.
When you juggle three balls, the balls trace out the Borromean rings in spacetime.


