Mathematical Mayhem: Symbolism, Symmetry, and Spirals in Vertigo

Abstract

While mathematics and film studies are often seen as disparate areas, they can intersect and enhance each other. In Vertigo (1958), Alfred Hitchcock uses the golden ratio and golden spiral to juxtapose the desire for order within the chaotic moments of Scottie’s (James Stewart) investigation into Madeleine’s (Kim Novak) life. The spiral motif directs viewers to look closer at various aspects of both the mise-en-scène and the characters while inversely understanding less about each of them as the film progresses. The golden ratio connects to key moments of the film and highlights Hitchcock’s desire to invite the viewer into Scottie’s world while sending them down a spiralling path of chaos, confusion, and deception. Hitchcock further utilizes mathematics through his use of symmetry and reflection, accentuating the similarities and differences amongst characters, themes, and locations. This article will thus explore how understanding the mathematical symbolism in Vertigo can allow for a deeper affinity and appreciation of Hitchcock’s masterpiece.