In this workshop, Nikoleta Kalaydzhieva and Emily Maw will introduce the card game SET – and students will use mathematics to crack it! They will explore the strategy of the game with modular ‘clock’ arithmetic, uncovering intriguing geometric spaces that involve higher-dimensional ideas from perspective drawing. Students will learn methods of proof including contradiction and the ‘pigeonhole principle’ to uncover mathematical truths, all through the lens of this fascinating game! Please note: Please note, this workshop is strictly for 16–18 year-olds and will include a 45 minute supervised lunch break. Students will not be able to leave the building at lunch time unless permission is given at the time of booking. Students should bring lunch and a drink, pens, pencils and a calculator. Mathematics Summer School workshops are based on Ri Masterclasses. Students who have attended a Masterclass series which included a session on a similar topic may have already seen some of the content in this workshop. Please contact us on [hidden] with any questions. Refunds can only be issued for tickets cancelled at least two weeks (14 calendar days) in advance of the event date. Please note that this supersedes our normal event terms and conditions. About speaker: Nikoleta Kalaydzhieva is a PhD student in Maths at UCL, doing research in number theory. As well as giving masterclasses at the Ri, she is involved in lots of outreach activities at UCL. She is also an associate of the Advanced Mathematics Support Programme (AMSP) and part of the team behind Chalkdust magazine. In her spare time, Niki enjoys dancing bachata, kizomba and salsa! Emily Maw is a PhD student in Maths at UCL, doing research into the geometry of 4-dimensional spaces. She has been working at the Ri in the Education team, and gives masterclasses for the Ri, the UKMT and London Maths Outreach. She also writes for Chalkdust magazine, and co-hosts their podcast “Talkdust”. In her spare time, Emily likes reading, playing music, and spending time in the great outdoors! More Info below.