---
res:
  bibo_abstract:
  - For a locally finite set in R2, the order-k Brillouin tessellations form an infinite
    sequence of convex face-to-face tilings of the plane. If the set is coarsely dense
    and generic, then the corresponding infinite sequences of minimum and maximum
    angles are both monotonic in k. As an example, a stationary Poisson point process
    in R2  is locally finite, coarsely dense, and generic with probability one. For
    such a set, the distributions of angles in the Voronoi tessellations, Delaunay
    mosaics, and Brillouin tessellations are independent of the order and can be derived
    from the formula for angles in order-1 Delaunay mosaics given by Miles (Math.
    Biosci. 6, 85–127 (1970)).@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Herbert
      foaf_name: Edelsbrunner, Herbert
      foaf_surname: Edelsbrunner
      foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-9823-6833
  - foaf_Person:
      foaf_givenName: Alexey
      foaf_name: Garber, Alexey
      foaf_surname: Garber
  - foaf_Person:
      foaf_givenName: Mohadese
      foaf_name: Ghafari, Mohadese
      foaf_surname: Ghafari
  - foaf_Person:
      foaf_givenName: Teresa
      foaf_name: Heiss, Teresa
      foaf_surname: Heiss
      foaf_workInfoHomepage: http://www.librecat.org/personId=4879BB4E-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-1780-2689
  - foaf_Person:
      foaf_givenName: Morteza
      foaf_name: Saghafian, Morteza
      foaf_surname: Saghafian
      foaf_workInfoHomepage: http://www.librecat.org/personId=f86f7148-b140-11ec-9577-95435b8df824
  bibo_doi: 10.1007/s00454-023-00566-1
  bibo_volume: 72
  dct_date: 2024^xs_gYear
  dct_identifier:
  - UT:001060727600004
  dct_isPartOf:
  - http://id.crossref.org/issn/0179-5376
  - http://id.crossref.org/issn/1432-0444
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: On angles in higher order Brillouin tessellations and related tilings
    in the plane@
  fabio_hasPubmedId: '39610762'
...