---
res:
  bibo_abstract:
  - We consider congruences of straight lines in a plane with the combinatorics of
    the square grid, with all elementary quadrilaterals possessing an incircle. It
    is shown that all the vertices of such nets (we call them incircular or IC-nets)
    lie on confocal conics. Our main new results are on checkerboard IC-nets in the
    plane. These are congruences of straight lines in the plane with the combinatorics
    of the square grid, combinatorially colored as a checkerboard, such that all black
    coordinate quadrilaterals possess inscribed circles. We show how this larger class
    of IC-nets appears quite naturally in Laguerre geometry of oriented planes and
    spheres and leads to new remarkable incidence theorems. Most of our results are
    valid in hyperbolic and spherical geometries as well. We present also generalizations
    in spaces of higher dimension, called checkerboard IS-nets. The construction of
    these nets is based on a new 9 inspheres incidence theorem.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Arseniy
      foaf_name: Akopyan, Arseniy
      foaf_surname: Akopyan
      foaf_workInfoHomepage: http://www.librecat.org/personId=430D2C90-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-2548-617X
  - foaf_Person:
      foaf_givenName: Alexander
      foaf_name: Bobenko, Alexander
      foaf_surname: Bobenko
  bibo_doi: 10.1090/tran/7292
  bibo_issue: '4'
  bibo_volume: 370
  dct_date: 2018^xs_gYear
  dct_identifier:
  - UT:000423197800019
  dct_language: eng
  dct_publisher: American Mathematical Society@
  dct_title: Incircular nets and confocal conics@
...