Intersections, 2025 – Phillip C. Reiner

Dandelion Sphere No.15 is a five-layer polyhedral framework: each layer branches from the previous layer's vertices and increases in complexity. The work belongs to the Intersections public art exhibition at the Seattle Universal Math Museum. The structure follows the same geometric system as the earlier Dandelion Sphere (2019): node-classification and automated connector generation for wireframe polyhedra, with radial growth from a central core. The museum commission uses polyamide 3D printing for durability in a public setting. ProtoCtrl's ongoing work on layered polyhedral systems and connector algorithms underlies the piece.

Research:
The piece uses the same algorithmic pipeline as the 2019 Dandelion Sphere: identification of identical node sets in the wireframe, generation of 3D connectors for each node type, and handling of chiral variants. Five layers of polyhedra are generated with increasing complexity per layer. The output is prepared for polyamide printing and scaled for the museum context.