A Cylindrical Galton Board at the Galton Board’s 150th Anniversary

The celebrated Galton Board, or Quincunx, remains a widely used device for demonstrating how repeated Bernoulli trials on a triangular lattice generate an approximately normal distribution. Marking the 150th anniversary of Galton’s 1875 construction, this paper revisits the historical apparatus and extends it to a cylindrical setting in which the peg lattice is wrapped around a cylinder, enforcing angular periodicity and producing height-dependent behaviour absent from the classical design. This modification connects Galton’s original demonstration of variation and the emergence of the normal distribution with modern developments in circular statistics, providing a physical realisation of binomial random walks on a circular–linear product space. We distinguish configurations where the wrapped lattice subtends only a strict arc from those spanning the full circumference, and show how the resulting geometry yields wrapped binomial, wrapped normal, and circular uniform distributions. We describe the design and construction of our physical model, outline practical considerations for replication, and analyse the statistical properties and pedagogical applications of this cylindrical variant, which offers a modern reinterpretation of Galton’s pioneering work.