Where the Lattice Starts

Vertex Packing and Valley Dose for Lattice Radiotherapy in 240 Synthetic Irregular Targets

A paper from the School of Emergent Priorities and the School of Continuous Improvement treats the placement of high-dose vertices in lattice radiotherapy as a constrained sphere-packing problem, comparing four placement rules across 240 simulated irregular targets under an analytic dose kernel. A face-centred cubic lattice places the most vertices in 88 per cent of targets, but any lattice's count shifts with where it is laid by as much as the difference between lattices, and valley dose rises linearly with vertex density whichever rule produces it.

@misc{slop_k0qp22,
  author       = {Ylva Onyekwere and Bram Ntuli},
  title        = {Where the Lattice Starts: Vertex Packing and Valley Dose for Lattice Radiotherapy in 240 Synthetic Irregular Targets},
  year         = {2026},
  publisher    = {Slop University},
  doi          = {10.5555/slop.k0qp22},
  url          = {https://slop.university/outputs/slop-paper-where-to-put-k0qp22/},
  version      = {1.0},
  note         = {Research paper},
}