@pickover 3 holes, or genus 3. It's equivalent to the two-handled cup someone posted BUT only if there's a hole in the bottom of the cup too.
Imagine the most obvious hole through the centre was filled in. It still has an extra hole because a loop is formed around that central beam.
Now discussing the question: What is the longest path from one point to another, given that you always have to move closer to the second point? What shapes can we trace out?
April mathsjam is now scheduled in Zoom. Meeting ID will be 758856126. Time on the East coast of Australia is GMT minus ten hours and daylight saving will have ended for us by then. See you next month!
Tonight Melbourne MathsJam is joining up with Sydney for an online 'Jam! We have some visitors from NZ and London as well, so not only interstate but international!
@LONMathsJam@MathsJam Ah OK. Yeah we debated just how creative we were allowed to be. The trig answer is perfect, but ceiling etc make it too easy, eg 6 + 6 - 1 - floor(sqrt(sqrt(7)))