Intersections, 2025

Dandelion Sphere No.15 is a five-layer polyhedral framework where each layer branches from the previous layer's vertices and increases in geometric complexity. The piece is part of the Intersections public art exhibition at the Seattle Universal Math Museum. Its geometric system continues the earlier Dandelion Sphere (2019): node-classification algorithms identify repeated vertex types in the wireframe and generate the corresponding 3D joint connectors, with correct handling of chiral pairs. Radial growth from a central core produces the characteristic layered silhouette. The museum commission uses polyamide 3D printing for durability in a public setting. protoCtrl's work on layered polyhedral systems and connector algorithms underlies the piece.

Research:
The algorithmic pipeline carries over from the 2019 Dandelion Sphere. Node classification groups identical vertices across the wireframe; connector geometry is then generated for each unique node type, accounting for chiral variants. Five polyhedral layers are computed with increasing complexity per layer. Output geometry is prepared for polyamide printing and scaled to the museum's spatial requirements.