poster2/voronoi.i


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% Images of Voronoi Diagrams with side captions

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\def\fourpic#1#2#3#4#5#6{%four files, no caption, individual size (wid, hei)
  \vbox{\twopic{#1}{#2}{#5}{#6}\twopic{#3}{#4}{#5}{#6}}
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\line{
  \fourpic{imgs/2019-10-30.png}{imgs/trails-24x24.png}{imgs/obstacles-24x24.png}{imgs/pits-24x24.png}{2.5in}{2in}
  \hfil
  \vbox{\hsize=5.5in
    \noindent{\bf $24x24$ Trials}


    These Voronoi diagrams, which label the territories of each
    ant\-lion (an ant\-lion ``possesses'' a part of the map within its
    segmented portion if its pit---the blue dot---is closest to that
    point).
    By examination of the Voronoi diagrams in conjunction with
    measurement of the nearest neighbor metric, it was determined that
    ant\-lions regularize their nesting pattern to fairly allocate food
    intake.
    Based on the Voronoi diagrams depicted it can be also concluded that
    the introduction of fake pits most significantly altered the
    distribution patterns of the ant\-lions because antlions created
    fewer pits.
  }
}
\vskip.2in
\line{
  %%Images
  \fourpic{imgs/2019-12-3.png}{imgs/trails-12x12.png}{imgs/pits-12x12.png}{imgs/obstacles-12x12.png}{2.5in}{2in}
  \hfil
  \vbox{\hsize=5.5in%
    \noindent{\bf $12\times12$ Trials}

    In order to correlate environmental factors and spatial distribution
    of the ant\-lions, four similar trials
    were conducted after the initial $24\times24$ trial, where the
    enclosure size was reduced to $12\times12$. The Voronoi diagrams for
    this subtrial for each of environmental conditions and a
    $12\times12$ control are shown to the left.
    Given the fact that the Voronoi area (the area of land that is
    closest to a given pit) remaIns relatively constant across all
    trials and sub\-trials it can effectively be concluded that the
    antlions have a non-random distribution pattern.
    Furthermore, since the mode of communication of the antlions seems
    to be undisturbed by both the introduction of fake pits, obstacles
    and the removal of trails, it can be concluded that the non-random
    distribution observed is not due to communication, but rather
    canabalism, which is the regulating factor in the antlions
    distribution pattern.
  }
}