Begoña Cuquejo Suárez, Claudia Silva Ruiz, Erika Berenice Roldan Roa, Rosemberg Toala-Enriquez

This sculpture captures a discrete cell growth process in four stages, selected through a time-based filtration with quadratic expansion. The final stage invites viewers to contemplate the possibility of infinite growth. The stochastic model follows a simple rule: starting with a regular pentagon, new pentagons are added randomly, sharing an edge but never intersecting previous ones. Using laser-etched acrylic layers and LED backlighting, the piece creates a dynamic interplay of geometric growth. Light accentuates the one-dimensional structure and the tree-like graph engraved over the pentagons, making the voids (topological properties) evident while suggesting the sequential addition of cells.

"454" visualizes a discrete growth process of 454 pentagons, each sequentially added by randomly attaching along shared edges while avoiding overlap. Since regular pentagons do not tessellate the Euclidean plane, this process inherently generates persistent voids that remain uncovered as growth continues. Mathematical concepts such as voids (topological holes), cellular growth, and tree-like structures define the piece. The LED panel is designed to guide the viewer in intuitively perceiving these forms, making their underlying patterns visually accessible.