dorsal/arxiv
View SchemaTwo-dimensional projections of an hypercube
| Authors | Guillermo Abramson, Damian H. Zanette |
|---|---|
| Categories | |
| ArXiv ID | physics/0212047 |
| URL | https://arxiv.org/abs/physics/0212047 |
| DOI | 10.1103/PhysRevE.67.057101 |
| Journal | Phys. Rev. E 67, 057101 (2003) |
Abstract
We present a method to project a hypercube of arbitrary dimension on the plane, in such a way as to preserve, as well as possible, the distribution of distances between vertices. The method relies on a Montecarlo optimization procedure that minimizes the squared difference between distances in the plane and in the hypercube, appropriately weighted. The plane projections provide a convenient way of visualization for dynamical processes taking place on the hypercube.
{
"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
}