{
  "annotation_id": "5569a84d-a625-4b1b-ade9-6ae9ea2cbb66",
  "date_created": "2026-03-02T18:00:43.058000Z",
  "date_modified": "2026-03-02T18:00:43.058000Z",
  "file_hash": "535da54c2771a5967fc091e84b58ea2c259d22a36581976f8c2301f687124f9f",
  "private": false,
  "record": {
    "abstract": "We present a method to project a hypercube of arbitrary dimension on the\nplane, in such a way as to preserve, as well as possible, the distribution of\ndistances between vertices. The method relies on a Montecarlo optimization\nprocedure that minimizes the squared difference between distances in the plane\nand in the hypercube, appropriately weighted. The plane projections provide a\nconvenient way of visualization for dynamical processes taking place on the\nhypercube.",
    "arxiv_id": "physics/0212047",
    "authors": [
      "Guillermo Abramson",
      "Damian H. Zanette"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "doi": "10.1103/PhysRevE.67.057101",
    "journal_ref": "Phys. Rev. E 67, 057101 (2003)",
    "title": "Two-dimensional projections of an hypercube",
    "url": "https://arxiv.org/abs/physics/0212047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b0d40999-54d9-4190-9e21-3eefc2205b4d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}