The principle of symmetry appears in architecture, in the arts, in nature. It is often understood as harmony of proportions. But what is the philosophical or mathematical significance of the idea of symmetry? This unit will help clarify this significance by developing the geometric concept of symmetry and by conveying the sensibility to recognise and categorise symmetries in different contexts. The richness, diversity, connectedness, depth and pleasure of the systematic study of symmetry, and indeed of mathematical thinking, is central to this unit. It will not involve grinding through formulas, but instead emphasise the process of thinking, comparing, analysing, understanding and inventing.
online; 2x3-hr workshop
Essay (60%); practical exercises (20%); presentation (20%)