First Tuesday of the month, first day of the month even, and it’s another set of student maths articles delivered straight to you. Whether you’re sweltering under the heat dome in Europe or experiencing the early Indian monsoon season, maybe you’d like to take a little holiday from the physical world around you. Perhaps you’d like to check in at David Hilbert’s Grand Hotel, but unfortunately all of its rooms are taken! Find out why you can still stay at the hotel with an infinite number of rooms, even if every room is already occupied, in our article on Hilbert’s Paradox. Also featured, a profile on the London Mathematical Society and our essential guide to understanding quadratics.