%% The LaTeX package tikzfill - version 1.1.0 (2026/03/26)
%% tikzlibraryfill.geomarray.code.tex: filling with geometric arrays
%%
%% -------------------------------------------------------------------------------------------
%% Copyright (c) 2022-2026 by Prof. Dr. Dr. Thomas F. Sturm <thomas dot sturm at unibw dot de>
%% -------------------------------------------------------------------------------------------
%%
%% This work may be distributed and/or modified under the
%% conditions of the LaTeX Project Public License, either version 1.3
%% of this license or (at your option) any later version.
%% The latest version of this license is in
%%   http://www.latex-project.org/lppl.txt
%% and version 1.3c or later is part of all distributions of LaTeX
%% version 2008 or later.
%%
%% This work has the LPPL maintenance status `author-maintained'.
%%
%% This work consists of all files listed in README.md
%%
\ProvidesFile{tikzlibraryfill.geomarray.code.tex}[2026/03/26 v1.1.0 Geometric array filling library]

\ExplSyntaxOn

\fp_zero_new:N \l__tikzfill_tmpa_fp

\dim_new:N \l_tikzfill_gea_xstep_dim
\dim_new:N \l_tikzfill_gea_ystep_dim

\fp_new:N \l_tikzfill_gea_row_frac_fp
\fp_new:N \l_tikzfill_gea_scale_fp

\int_new:N \l_tikzfill_gea_cols_int
\int_new:N \l_tikzfill_gea_rows_int

\tl_new:N \l_tikzfill_gea_col_tl
\tl_new:N \l_tikzfill_gea_row_tl

\bool_new:N \l__tikzfill_gea_triangular_bool

\dim_new:N \l__tikzfill_gea_height_dim
\dim_new:N \l__tikzfill_gea_width_dim
\dim_new:N \l__tikzfill_gea_xoff_dim
\dim_new:N \l__tikzfill_gea_xoff_final_dim
\dim_new:N \l__tikzfill_gea_yoff_dim

\fp_new:N \l__tikzfill_gea_angle_fp
\fp_new:N \l__tikzfill_gea_curr_s_fp
\fp_new:N \l__tikzfill_gea_curr_t_fp
\fp_new:N \l__tikzfill_gea_prev_s_fp
\fp_new:N \l__tikzfill_gea_prev_t_fp

\int_new:N \l__tikzfill_seq_pos_int

\seq_new:N \l__tikzfill_gea_color_seq
\seq_new:N \l__tikzfill_gea_interpol_seq
\seq_new:N \l__tikzfill_gea_scale_seq

\tl_new:N \l__tikzfill_gea_draw_item_tl
\tl_new:N \l__tikzfill_gea_fontsize_tl
\tl_new:N \l__tikzfill_gea_img_height_tl
\tl_new:N \l__tikzfill_gea_img_width_tl
\tl_new:N \l__tikzfill_gea_img_xa_tl
\tl_new:N \l__tikzfill_gea_img_ya_tl
\tl_new:N \l__tikzfill_gea_init_item_tl
\tl_new:N \l__tikzfill_gea_init_row_tl
\tl_new:N \l__tikzfill_gea_init_tl
\tl_new:N \l__tikzfill_gea_pair_tl
\tl_new:N \l__tikzfill_gea_xa_tl
\tl_new:N \l__tikzfill_gea_xb_tl
\tl_new:N \l__tikzfill_gea_xc_tl
\tl_new:N \l__tikzfill_gea_xd_tl
\tl_new:N \l__tikzfill_gea_ya_tl
\tl_new:N \l__tikzfill_gea_yb_tl
\tl_new:N \l__tikzfill_gea_yc_tl
\tl_new:N \l__tikzfill_gea_yshift_tl


\cs_new_nopar:Npn \__tikzfill_gea_path_picture:
  {
    \pgf@process{\pgfpointanchor{ path~picture~bounding~box } { south~west }}
    \tl_set:Nx \l__tikzfill_gea_img_xa_tl { \dim_eval:n { \pgf@x } }
    \tl_set:Nx \l__tikzfill_gea_img_ya_tl { \dim_eval:n { \pgf@y } }
    \pgf@process{\pgfpointanchor{ path~picture~bounding~box } { north~east }}
    \tl_set:Nx \l__tikzfill_gea_img_width_tl  { \dim_eval:n { \pgf@x - \l__tikzfill_gea_img_xa_tl } }
    \tl_set:Nx \l__tikzfill_gea_img_height_tl { \dim_eval:n { \pgf@y - \l__tikzfill_gea_img_ya_tl } }

    \fp_compare:nNnTF { \l__tikzfill_gea_angle_fp } = { 0 }
      {
        \dim_set:Nn \l__tikzfill_gea_width_dim  { \l__tikzfill_gea_img_width_tl }
        \dim_set:Nn \l__tikzfill_gea_height_dim { \l__tikzfill_gea_img_height_tl }
        \begin{ scope }
          [
            xshift = \dim_eval:n { \l__tikzfill_gea_img_xa_tl + \l__tikzfill_gea_img_width_tl / 2 },
            yshift = \dim_eval:n { \l__tikzfill_gea_img_ya_tl + \l__tikzfill_gea_img_height_tl / 2 }
          ]
        \__tikzfill_gea_draw_array:
        \end{ scope }
      }
      {
        \dim_set:Nn \l__tikzfill_gea_width_dim
          {
            \fp_to_dim:n
            {
                \l__tikzfill_gea_img_height_tl * abs(sind( \l__tikzfill_gea_angle_fp ))
              + \l__tikzfill_gea_img_width_tl  * abs(cosd( \l__tikzfill_gea_angle_fp ))
            }
          }
        \dim_set:Nn \l__tikzfill_gea_height_dim
          {
            \fp_to_dim:n
            {
                \l__tikzfill_gea_img_height_tl * abs(cosd( \l__tikzfill_gea_angle_fp ))
              + \l__tikzfill_gea_img_width_tl  * abs(sind( \l__tikzfill_gea_angle_fp ))
            }
          }
        \begin{ scope }
          [
            xshift = \dim_eval:n { \l__tikzfill_gea_img_xa_tl + \l__tikzfill_gea_img_width_tl / 2 },
            yshift = \dim_eval:n { \l__tikzfill_gea_img_ya_tl + \l__tikzfill_gea_img_height_tl / 2 },
            rotate = \fp_to_decimal:N \l__tikzfill_gea_angle_fp,
          ]
        \__tikzfill_gea_draw_array:
        \end{ scope }
      }
  }


\cs_new_nopar:Npn \__tikzfill_gea_draw_array:
  {
    % compute column und row sizes
    \bool_if:NTF \l__tikzfill_gea_triangular_bool
      {
        \int_set:Nn \l_tikzfill_gea_cols_int
          {
            \fp_to_decimal:n { floor( \l__tikzfill_gea_width_dim / \l_tikzfill_gea_xstep_dim + 2 ) }
          }
      }
      {
        \int_set:Nn \l_tikzfill_gea_cols_int
          {
            \fp_to_decimal:n { floor( \l__tikzfill_gea_width_dim / \l_tikzfill_gea_xstep_dim + 1 ) }
          }
      }
    \int_set:Nn \l_tikzfill_gea_rows_int
      {
        \fp_to_decimal:n { floor( \l__tikzfill_gea_height_dim / \l_tikzfill_gea_ystep_dim + 1 ) }
      }

    % compute x and y offset values
    \dim_set:Nn \l__tikzfill_gea_xoff_dim
      {
        \fp_to_dim:n { - \l_tikzfill_gea_cols_int * \l_tikzfill_gea_xstep_dim / 2 }
      }
    \dim_set:Nn \l__tikzfill_gea_yoff_dim
      {
        \fp_to_dim:n { - \l_tikzfill_gea_rows_int * \l_tikzfill_gea_ystep_dim / 2 }
      }

    \__tikzfill_gea_interpol_init:
    \l__tikzfill_gea_init_tl  % < customization
    % loop rows
    \int_step_variable:nnNn { 0 } { \l_tikzfill_gea_rows_int } \l_tikzfill_gea_row_tl
      {
        \tl_set:Ne \l__tikzfill_gea_yshift_tl
          { \fp_to_dim:n { \l__tikzfill_gea_yoff_dim + \l_tikzfill_gea_row_tl * \l_tikzfill_gea_ystep_dim } }
        \bool_lazy_and:nnTF
          { \l__tikzfill_gea_triangular_bool }
          { \int_if_odd_p:n { \l_tikzfill_gea_row_tl } }
          {
            \dim_set:Nn \l__tikzfill_gea_xoff_final_dim { \l__tikzfill_gea_xoff_dim + \l_tikzfill_gea_xstep_dim / 2 }
          }
          {
            \dim_set_eq:NN \l__tikzfill_gea_xoff_final_dim \l__tikzfill_gea_xoff_dim
          }
        \__tikzfill_gea_interpolation:
        \l__tikzfill_gea_init_row_tl  % < customization
        % loop columns
        \int_step_variable:nnNn { 0 } { \l_tikzfill_gea_cols_int } \l_tikzfill_gea_col_tl
          {
            \begin{ scope }
              [
                xshift = \fp_to_dim:n { \l__tikzfill_gea_xoff_final_dim
                                      + \l_tikzfill_gea_col_tl * \l_tikzfill_gea_xstep_dim },
                yshift = \l__tikzfill_gea_yshift_tl
              ]
              \l__tikzfill_gea_init_item_tl  % < customization
              \l__tikzfill_gea_draw_item_tl  % < customization
            \end{ scope }
          }
      }
  }


\cs_new_nopar:Npn \__tikzfill_gea_interpol_init:
  {
    \seq_set_eq:NN \l__tikzfill_gea_interpol_seq \l__tikzfill_gea_scale_seq
    \__tikzfill_gea_interpol_pop_pair:
    \fp_set_eq:NN \l__tikzfill_gea_prev_t_fp \l__tikzfill_gea_curr_t_fp
    \fp_set_eq:NN \l__tikzfill_gea_prev_s_fp \l__tikzfill_gea_curr_s_fp
    \__tikzfill_gea_interpol_pop_pair:
  }

\cs_new_nopar:Npn \__tikzfill_gea_interpolation:
  {
    \fp_set:Nn \l_tikzfill_gea_row_frac_fp { \l_tikzfill_gea_row_tl / \l_tikzfill_gea_rows_int }
    \fp_while_do:nNnn { \l_tikzfill_gea_row_frac_fp } > { \l__tikzfill_gea_curr_t_fp }
      {
        \fp_set_eq:NN \l__tikzfill_gea_prev_t_fp \l__tikzfill_gea_curr_t_fp
        \fp_set_eq:NN \l__tikzfill_gea_prev_s_fp \l__tikzfill_gea_curr_s_fp
        \__tikzfill_gea_interpol_pop_pair:
      }
    \fp_set:Nn \l_tikzfill_gea_scale_fp
      {
        \l__tikzfill_gea_prev_s_fp +
          ( \l__tikzfill_gea_curr_s_fp - \l__tikzfill_gea_prev_s_fp ) *
          ( \l_tikzfill_gea_row_frac_fp - \l__tikzfill_gea_prev_t_fp ) /
          ( \l__tikzfill_gea_curr_t_fp - \l__tikzfill_gea_prev_t_fp )
      }
  }

\cs_new_nopar:Npn \__tikzfill_gea_interpol_pop_pair:
  {
    \seq_pop_left:NN \l__tikzfill_gea_interpol_seq \l__tikzfill_gea_pair_tl
    \exp_last_unbraced:NV \__tikzfill_gea_interpol_split:w \l__tikzfill_gea_pair_tl \q_stop
  }

\cs_new_nopar:Npn \__tikzfill_gea_interpol_split:w #1 / #2 \q_stop
  {
    \fp_set:Nn \l__tikzfill_gea_curr_t_fp { #1 }
    \fp_set:Nn \l__tikzfill_gea_curr_s_fp { #2 }
  }

\cs_new_nopar:Npn \__tikzfill_gea_reset:
  {
    \tl_clear:N \l__tikzfill_gea_init_tl
    \tl_clear:N \l__tikzfill_gea_init_row_tl
    \tl_clear:N \l__tikzfill_gea_init_item_tl
    \tl_set_eq:NN \l__tikzfill_gea_draw_item_tl \c__tikzfill_gea_draw_item_default_tl
  }

\tl_const:Nn \c__tikzfill_gea_draw_item_default_tl
  {
    \tl_set:Ne \l__tikzfill_gea_xa_tl
      { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 2 * \l_tikzfill_gea_scale_fp } }
    \tl_set:Ne \l__tikzfill_gea_ya_tl
      { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 2 * \l_tikzfill_gea_scale_fp } }
    \path [ fill-gea-style-1 ] \pgfextra
      {
        \pgfpathrectanglecorners
          {\pgfqpoint { - \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_ya_tl }}
          {\pgfqpoint {   \l__tikzfill_gea_xa_tl } {   \l__tikzfill_gea_ya_tl }}
      } ;
  }



\NewDocumentCommand \TFRowColorLet { m m m }
  {
    \colorlet{ __tikzfill__1 } { #2 }
    \colorlet{ __tikzfill__2 } { #3 }
    \colorlet{ #1 }
      {
        __tikzfill__1 !
        \fp_to_decimal:n { 100 * ( 1 - \l_tikzfill_gea_row_frac_fp ) }
        ! __tikzfill__2
      }
  }

\NewDocumentCommand \TFRowColorLetSeq { m m }
  {
    \seq_set_from_clist:Nn \l__tikzfill_gea_color_seq { #2 }
    \fp_set:Nn \l__tikzfill_tmpa_fp { \l_tikzfill_gea_row_frac_fp * ( \seq_count:N \l__tikzfill_gea_color_seq - 1 ) }
    \int_set:Nn \l__tikzfill_seq_pos_int { \fp_to_int:n { ceil ( \l__tikzfill_tmpa_fp ) }}
    \int_compare:nNnTF { \l__tikzfill_seq_pos_int } = { 0 }
      {
        \colorlet{ #1 } { \seq_item:Nn \l__tikzfill_gea_color_seq { 1 } }
      }
      {
        \colorlet{ __tikzfill__1 } { \seq_item:Nn \l__tikzfill_gea_color_seq { \l__tikzfill_seq_pos_int } }
        \colorlet{ __tikzfill__2 } { \seq_item:Nn \l__tikzfill_gea_color_seq { \l__tikzfill_seq_pos_int + 1 } }
        \colorlet{ #1 }
          {
            __tikzfill__1 !
            \fp_to_decimal:n { 100 * ( \l__tikzfill_seq_pos_int - \l__tikzfill_tmpa_fp ) }
            ! __tikzfill__2
          }
      }
  }

\NewDocumentCommand \TFDefineRandomColor { m }
  {
    \definecolor{ #1 } { RGB } { \int_rand:nn { 0 } { 255 },
                                 \int_rand:nn { 0 } { 255 },
                                 \int_rand:nn { 0 } { 255 } }
  }


\pgfkeys
  {
    /tikz/geomarray/.cd,
    angle/.code= \fp_set:Nn \l__tikzfill_gea_angle_fp { #1 },
    xstep/.code= \dim_set:Nn \l_tikzfill_gea_xstep_dim { #1 },
    ystep/.code= \dim_set:Nn \l_tikzfill_gea_ystep_dim { #1 },
    ystep~equidistance/.code=
      \bool_if:NTF \l__tikzfill_gea_triangular_bool
      { \dim_set:Nn \l_tikzfill_gea_ystep_dim { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim * sqrt(3)/2 } } }
      { \dim_set_eq:NN \l_tikzfill_gea_ystep_dim \l_tikzfill_gea_xstep_dim },
    ystep~equidistance*/.code=
      \bool_if:NTF \l__tikzfill_gea_triangular_bool
      { \dim_set_eq:NN \l_tikzfill_gea_ystep_dim \l_tikzfill_gea_xstep_dim }
      { \dim_set:Nn \l_tikzfill_gea_ystep_dim { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim * sqrt(3)/2 } } },
    step/.style = { xstep=#1, ystep=#1 },
    step~half/.style = { xstep=#1, ystep=(#1)/2 },
    step~double/.style = { xstep=#1, ystep=(#1)*2 },
    step~equi/.style = { xstep=#1, ystep~equidistance },
    step~equi*/.style = { xstep=#1, ystep~equidistance* },
    step~equi~half/.style = { xstep=#1, ystep~equidistance, ystep= \l_tikzfill_gea_ystep_dim / 2 },
    step~equi*~half/.style = { xstep=#1, ystep~equidistance*, ystep= \l_tikzfill_gea_ystep_dim / 2 },
    step~equi~double/.style = { xstep=#1, ystep~equidistance, ystep= \l_tikzfill_gea_ystep_dim * 2 },
    step~equi*~double/.style = { xstep=#1, ystep~equidistance*, ystep= \l_tikzfill_gea_ystep_dim * 2 },
    triangular/.is~choice,
    triangular/true/.code = \bool_set_true:N \l__tikzfill_gea_triangular_bool,
    triangular/false/.code = \bool_set_false:N \l__tikzfill_gea_triangular_bool,
    triangular/.default = true,
    scale / .code = { \seq_set_from_clist:Nn \l__tikzfill_gea_scale_seq { #1 } },
    scale~linear / .style~n~args = { 2 } { scale = { 0/#1 , 1/#2 } },
    scale~fixed / .style = { scale = { 0/#1 , 1/#1 } },

    init  / .code         = \tl_set:Nn       \l__tikzfill_gea_init_tl { #1 },
    init< / .code         = \tl_put_right:Nn \l__tikzfill_gea_init_tl { #1 },
    init> / .code         = \tl_put_left:Nn  \l__tikzfill_gea_init_tl { #1 },

    init-row  / .code     = \tl_set:Nn       \l__tikzfill_gea_init_row_tl { #1 },
    init-row< / .code     = \tl_put_right:Nn \l__tikzfill_gea_init_row_tl { #1 },
    init-row> / .code     = \tl_put_left:Nn  \l__tikzfill_gea_init_row_tl { #1 },

    init-item  / .code    = \tl_set:Nn       \l__tikzfill_gea_init_item_tl { #1 },
    init-item< / .code    = \tl_put_right:Nn \l__tikzfill_gea_init_item_tl { #1 },
    init-item> / .code    = \tl_put_left:Nn  \l__tikzfill_gea_init_item_tl { #1 },

    draw-item  / .code    = \tl_set:Nn       \l__tikzfill_gea_draw_item_tl { #1 },
    draw-item< / .code    = \tl_put_right:Nn \l__tikzfill_gea_draw_item_tl { #1 },
    draw-item> / .code    = \tl_put_left:Nn  \l__tikzfill_gea_draw_item_tl { #1 },

    freeze-row / .style = % experimental (time optimization)
      {
        init< =
          {
            \tl_clear_new:N  \l__tikzfill_gea_draw_item_freeze_tl
            \box_clear_new:N \l__tikzfill_gea_freeze_box
            \tl_set_eq:NN \l__tikzfill_gea_draw_item_freeze_tl \l__tikzfill_gea_draw_item_tl
            \tl_set:Nn \l__tikzfill_gea_draw_item_tl
              {
                \pgftext { \box_use:N \l__tikzfill_gea_freeze_box }
              }
          },
        init-row< =
          {
            \hbox_set:Nn \l__tikzfill_gea_freeze_box
              {
                \pgfinterruptpicture
                \group_begin:
                \pgfsetbaseline { 0pt }
                \tikzpicture
                \l__tikzfill_gea_draw_item_freeze_tl
                \endtikzpicture
                \group_end:
                \endpgfinterruptpicture
              }
          }
      },

    node / .style~n~args = { 2 }
      {
        draw-item =
          {
            \node [ #1 ] { #2 } ;
          }
      },
    node< / .style~n~args = { 2 }
      {
        draw-item< =
          {
            \node [ #1 ] { #2 } ;
          }
      },
    node> / .style~n~args = { 2 }
      {
        draw-item> =
          {
            \node [ #1 ] { #2 } ;
          }
      },
    text / .style =
      {
        draw-item =
          {
            \pgftext { #1 }
          }
      },
    text< / .style =
      {
        draw-item< =
          {
            \pgftext { #1 }
          }
      },
    text> / .style =
      {
        draw-item> =
          {
            \pgftext { #1 }
          }
      },

    debug~text / .style =
      {
        init-row< =
          {
            \tl_set:Ne \l__tikzfill_gea_fontsize_tl  % heurism
              { \fp_to_dim:n { max( 1pt, \l_tikzfill_gea_xstep_dim * \l_tikzfill_gea_scale_fp / 4 ) } }
          },
        text< =
          {
            \color{#1}
            \fontsize{ \l__tikzfill_gea_fontsize_tl } { \l__tikzfill_gea_fontsize_tl }\selectfont
            ( \l_tikzfill_gea_row_tl , \l_tikzfill_gea_col_tl )
          }
      },
    debug~text / .default = black,

    style~1 / .style = { /tikz/fill-gea-style-1 / .style = { #1 } },
    style~2 / .style = { /tikz/fill-gea-style-2 / .style = { #1 } },
    style~3 / .style = { /tikz/fill-gea-style-3 / .style = { #1 } },
    style~4 / .style = { /tikz/fill-gea-style-4 / .style = { #1 } },
    style~5 / .style = { /tikz/fill-gea-style-5 / .style = { #1 } },
    style~6 / .style = { /tikz/fill-gea-style-6 / .style = { #1 } },
    style~7 / .style = { /tikz/fill-gea-style-7 / .style = { #1 } },
    style~8 / .style = { /tikz/fill-gea-style-8 / .style = { #1 } },
    style~9 / .style = { /tikz/fill-gea-style-9 / .style = { #1 } },
  }


\__tikzfill_gea_reset:

\pgfkeys
  {
    /tikz/geomarray/.cd,
    angle = 0,
    xstep = 10mm,
    ystep = 10mm,
    triangular = false,
    scale~fixed = 0.9,
    style~1 = { fill=red },
    style~2 = { fill=green },
    style~3 = { fill=blue },
    style~4 = { fill=cyan },
    style~5 = { fill=magenta },
    style~6 = { fill=yellow },
    style~7 = { fill=lightgray },
    style~8 = { fill=orange },
    style~9 = { fill=purple },
  }


\tikzset
  {
    fill~geomarray/.code =
      {
        \__tikzfill_gea_reset:
        \pgfkeys
          {
            /tikz/path~picture = { \__tikzfill_gea_path_picture: },
            /tikz/geomarray/.cd,
            #1
          }
      },

    fill~gea~Altdorf / .style = { fill~geomarray =
      {
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 2 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 2 * \l_tikzfill_gea_scale_fp } }
            \tikzset { fill-gea-style/.style = fill-gea-style-1 }
          },
        draw-item =
          {
            \path [ fill-gea-style ] \pgfextra
              {
                \pgfpathrectanglecorners
                  {\pgfqpoint { - \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_ya_tl }}
                  {\pgfqpoint {   \l__tikzfill_gea_xa_tl } {   \l__tikzfill_gea_ya_tl }}
              } ;
          },
        #1
      }},
    fill~gea~Loeschenbrand / .style = { fill~gea~Altdorf =
      {
        init-item< =
          {
            \int_if_odd:nT { \l_tikzfill_gea_row_tl + \l_tikzfill_gea_col_tl }
              { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
          },
        #1
      }},
    fill~gea~Ganslberg / .style = { fill~gea~Altdorf =
      {
        init-row< =
          {
            \int_if_odd:nT { \l_tikzfill_gea_row_tl }
              { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
          },
        #1
      }},
    fill~gea~Essenbach / .style = { fill~geomarray =
      {
        triangular,
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 2 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim * \l_tikzfill_gea_scale_fp } }
            \tikzset { fill-gea-style/.style = fill-gea-style-1 }
          },
        draw-item =
          {
            \path [ fill-gea-style ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { 0pt } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { 0pt } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathclose
              } ;
          },
        #1
      }},
    fill~gea~Mirskofen / .style = { fill~gea~Essenbach =
      {
        init-row< =
          {
            \int_if_odd:nT { \l_tikzfill_gea_row_tl }
              { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
          },
        #1
      }},
    fill~gea~Bruckberg / .style =  { fill~geomarray =
      {
        triangular,
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 2 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 3 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_yb_tl { \fp_to_dim:n { \l__tikzfill_gea_ya_tl * 2 } }
            \tikzset { fill-gea-style/.style = fill-gea-style-1 }
          },
        draw-item =
          {
            \path [ fill-gea-style ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { 0pt } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { 0pt } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathclose
              } ;
          },
        #1
      }},
    fill~gea~Bachhorn / .style = { fill~gea~Bruckberg =
      {
        init-row< =
          {
            \int_if_odd:nT { \l_tikzfill_gea_row_tl }
              { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
          },
        #1
      }},
    fill~gea~Furth / .style = { fill~geomarray =
      {
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 2 * \l_tikzfill_gea_scale_fp } }
            \tikzset { fill-gea-style/.style = fill-gea-style-1 }
          },
        draw-item =
          {
            \path [ fill-gea-style ] \pgfextra
              {
                \pgfpathcircle{ \pgfpointorigin } { \l__tikzfill_gea_xa_tl }
              } ;
          },
        #1
      }},
    fill~gea~Schatzhofen / .style = { fill~gea~Furth =
      {
        init-row< =
          {
            \int_if_odd:nT { \l_tikzfill_gea_row_tl }
              { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
          },
        #1
      }},
    fill~gea~Pfettrach / .style = { fill~geomarray =
      {
        triangular,
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 2 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim * \l_tikzfill_gea_scale_fp } }
            \tikzset { fill-gea-style-a/.style = fill-gea-style-1,
                       fill-gea-style-b/.style = fill-gea-style-2 }
          },
        draw-item =
          {
            \path [ fill-gea-style-a ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { 0pt } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathclose
              } ;
            \path [ fill-gea-style-b ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { 0pt } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathclose
              } ;
          },
        #1
      }},
    fill~gea~Kolmhub / .style = { fill~gea~Pfettrach =
      {
        init-row< =
          {
            \int_if_odd:nT { \l_tikzfill_gea_row_tl }
              {
                \tikzset { fill-gea-style-a/.style = fill-gea-style-3,
                           fill-gea-style-b/.style = fill-gea-style-4 }
              }
          },
        #1
      }},
    fill~gea~Weihmichl / .style = { fill~geomarray =
      {
        triangular,
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 2 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 3 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_yb_tl { \fp_to_dim:n { \l__tikzfill_gea_ya_tl * 2 } }
          },
        draw-item =
          {
            \path [ fill-gea-style-1 ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { 0pt } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfpointorigin}
                \pgfpathclose
              } ;
            \path [ fill-gea-style-2 ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { 0pt } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfpointorigin}
                \pgfpathclose
              } ;
            \path [ fill-gea-style-3 ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { 0pt } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfpointorigin}
              } ;
          },
        #1
      }},
    fill~gea~Ergolding / .style = { fill~geomarray =
      {
        triangular,
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 6 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_xb_tl { \fp_to_dim:n { \l__tikzfill_gea_xa_tl * 2 } }
            \tl_set:Ne \l__tikzfill_gea_xc_tl { \fp_to_dim:n { \l__tikzfill_gea_xa_tl * 3 } }
            \tl_set:Ne \l__tikzfill_gea_xd_tl { \fp_to_dim:n { \l__tikzfill_gea_xa_tl * 4 } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 3 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_yb_tl { \fp_to_dim:n { \l__tikzfill_gea_ya_tl * 2 } }
            \tikzset { fill-gea-style/.style = fill-gea-style-1 }
          },
        draw-item =
          {
            \path [ fill-gea-style ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xd_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xc_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { 0pt } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xc_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xc_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { 0pt } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xc_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathclose
              } ;
          },
        #1
      }},
    fill~gea~Hascherkeller / .style = { fill~geomarray =
      {
        triangular,
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 6 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_xb_tl { \fp_to_dim:n { \l__tikzfill_gea_xa_tl * 2 } }
            \tl_set:Ne \l__tikzfill_gea_xc_tl { \fp_to_dim:n { \l__tikzfill_gea_xa_tl * 3 } }
            \tl_set:Ne \l__tikzfill_gea_xd_tl { \fp_to_dim:n { \l__tikzfill_gea_xa_tl * 4 } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 3 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_yb_tl { \fp_to_dim:n { \l__tikzfill_gea_ya_tl * 2 } }
          },
        draw-item =
          {
            \path [ fill-gea-style-1 ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xd_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xc_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { 0pt } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfpointorigin}
                \pgfpathclose
              } ;
            \path [ fill-gea-style-2 ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xc_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xc_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfpointorigin}
                \pgfpathclose
              } ;
            \path [ fill-gea-style-3 ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { 0pt } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xc_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xd_tl } { 0pt }}
                \pgfpathlineto{\pgfpointorigin}
                \pgfpathclose
              } ;
          },
        #1
      }},
    fill~gea~Unterglaim / .style = { fill~geomarray =
      {
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xb_tl
              { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 2 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_xa_tl { \fp_to_dim:n { \l__tikzfill_gea_xb_tl / (1+sqrt(2)) } }
            \tl_set:Ne \l__tikzfill_gea_yb_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 2 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl { \fp_to_dim:n { \l__tikzfill_gea_yb_tl / (1+sqrt(2)) } }
            \tikzset { fill-gea-style/.style = fill-gea-style-1 }
          },
        draw-item =
          {
            \path [ fill-gea-style ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathclose
              } ;
          },
        #1
      }},
    fill~gea~Grandsberg / .style = { fill~gea~Unterglaim =
      {
        init-item< =
          {
            \int_if_odd:nT { \l_tikzfill_gea_row_tl + \l_tikzfill_gea_col_tl }
              { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
          },
        #1
      }},
    fill~gea~Kottingrohr / .style = { fill~gea~Unterglaim =
      {
        init-row< =
          {
            \int_if_odd:nT { \l_tikzfill_gea_row_tl }
              { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
          },
        #1
      }},
    fill~gea~_Hohenthann_ / .style = {  fill~geomarray =
      {
        init =
          {
            \tl_set:Ne \l__tikzfill_gea_xd_tl { \fp_to_dim:n
              {
                sqrt( max( 0, \l_tikzfill_gea_xstep_dim ^2 - \l_tikzfill_gea_ystep_dim ^2 / 4 ) ) /2
              }}
          },
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { ( \l_tikzfill_gea_xstep_dim / 2 - \l__tikzfill_gea_xd_tl ) * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_xb_tl
              { \fp_to_dim:n { ( \l_tikzfill_gea_xstep_dim / 2 + \l__tikzfill_gea_xd_tl ) * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 2 * \l_tikzfill_gea_scale_fp } }
          },
        draw-item =
          {
            \path [ fill-gea-style ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xb_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathclose
              } ;
          },
        #1
      }},
    fill~gea~Hohenthann / .style = { fill~gea~_Hohenthann_ =
      {
        init-row< =
          {
            \tikzset { fill-gea-style/.style = fill-gea-style-1 }
          },
        #1
      }},
    fill~gea~Bibelsbach / .style = { fill~gea~_Hohenthann_ =
      {
        init-row< =
          {
            \int_if_even:nTF { \l_tikzfill_gea_row_tl }
              { \tikzset { fill-gea-style/.style = fill-gea-style-1 } }
              { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
          },
        #1
      }},
    fill~gea~Roseneck / .style = { fill~gea~_Hohenthann_ =
      {
        init-item =
          {
            \int_if_even:nTF { \l_tikzfill_gea_col_tl }
              { \tikzset { fill-gea-style/.style = fill-gea-style-1 } }
              { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
          },
        #1
      }},
    fill~gea~Altenkofen / .style = { fill~gea~_Hohenthann_ =
      {
        init-item =
          {
            \int_if_even:nTF { \l_tikzfill_gea_row_tl + \l_tikzfill_gea_col_tl }
              { \tikzset { fill-gea-style/.style = fill-gea-style-1 } }
              { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
          },
        #1
      }},
    fill~gea~Irlmuehle / .style = { fill~gea~_Hohenthann_ =
      {
        init-item =
          {
            \int_if_even:nTF { \l_tikzfill_gea_row_tl }
              {
                \int_if_even:nTF { \l_tikzfill_gea_col_tl }
                  { \tikzset { fill-gea-style/.style = fill-gea-style-1 } }
                  { \tikzset { fill-gea-style/.style = fill-gea-style-2 } }
              }
              {
                \int_if_even:nTF { \l_tikzfill_gea_col_tl }
                  { \tikzset { fill-gea-style/.style = fill-gea-style-3 } }
                  { \tikzset { fill-gea-style/.style = fill-gea-style-4 } }
              }
          },
        #1
      }},
    fill~gea~_Gammelsdorf_ / .style = { fill~geomarray =
      {
        init =
          {
            \tl_set:Ne \l__tikzfill_gea_xd_tl { \fp_to_dim:n
              {
                sqrt( max( 0, \l_tikzfill_gea_xstep_dim ^2 - \l_tikzfill_gea_ystep_dim ^2 / 4 ) ) /2
              }}
          },
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { ( \l_tikzfill_gea_xstep_dim / 2 - \l__tikzfill_gea_xd_tl ) * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_xb_tl
              { \fp_to_dim:n { ( \l_tikzfill_gea_xstep_dim / 2 + \l__tikzfill_gea_xd_tl ) * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 2 * \l_tikzfill_gea_scale_fp } }
          },
        draw-item =
          {
            \path [ fill-gea-style-a ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xb_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathclose
              } ;
            \path [ fill-gea-style-b ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xb_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathclose
              } ;
          },
        #1
      }},
    fill~gea~Gammelsdorf / .style = { fill~gea~_Gammelsdorf_ =
      {
        init-row< =
          {
            \tikzset { fill-gea-style-a/.style = fill-gea-style-1,
                       fill-gea-style-b/.style = fill-gea-style-2 }
          },
        #1
      }},
    fill~gea~Traich / .style = { fill~gea~_Gammelsdorf_ =
      {
        init-item =
          {
            \int_if_even:nTF { \l_tikzfill_gea_col_tl }
              {
                \tikzset { fill-gea-style-a/.style = fill-gea-style-1,
                           fill-gea-style-b/.style = fill-gea-style-2 }
              }
              {
                \tikzset { fill-gea-style-a/.style = fill-gea-style-2,
                           fill-gea-style-b/.style = fill-gea-style-1 }
              }
          },
        #1
      }},
    fill~gea~Winbuerg / .style = { fill~gea~_Gammelsdorf_ =
      {
        init-item =
          {
            \int_if_even:nTF { \l_tikzfill_gea_col_tl }
              {
                \tikzset { fill-gea-style-a/.style = fill-gea-style-1,
                           fill-gea-style-b/.style = fill-gea-style-2 }
              }
              {
                \tikzset { fill-gea-style-a/.style = fill-gea-style-3,
                           fill-gea-style-b/.style = fill-gea-style-4 }
              }
          },
        #1
      }},
    fill~gea~Kreuzholzen / .style = { fill~gea~_Gammelsdorf_ =
      {
        init-item =
          {
            \int_if_even:nTF { \l_tikzfill_gea_row_tl }
            {
              \int_if_even:nTF { \l_tikzfill_gea_col_tl }
                {
                  \tikzset { fill-gea-style-a/.style = fill-gea-style-1,
                             fill-gea-style-b/.style = fill-gea-style-2 }
                }
                {
                  \tikzset { fill-gea-style-a/.style = fill-gea-style-3,
                             fill-gea-style-b/.style = fill-gea-style-4 }
                }
             }
            {
              \int_if_even:nTF { \l_tikzfill_gea_col_tl }
                {
                  \tikzset { fill-gea-style-a/.style = fill-gea-style-5,
                             fill-gea-style-b/.style = fill-gea-style-6 }
                }
                {
                  \tikzset { fill-gea-style-a/.style = fill-gea-style-7,
                             fill-gea-style-b/.style = fill-gea-style-8 }
                }
             }
          },
        #1
      }},
    fill~gea~Grafenhaun / .style = { fill~geomarray =
      {
        triangular,
        init =
          {
            \tl_set:Ne \l__tikzfill_gea_xd_tl { \fp_to_dim:n
              {
                max( 0, ( 3 * \l_tikzfill_gea_xstep_dim ^2 - 4 * \l_tikzfill_gea_ystep_dim ^2 )
                         / (12 * \l_tikzfill_gea_xstep_dim ) )
              }}
          },
        init-row =
          {
            \tl_set:Ne \l__tikzfill_gea_xa_tl
              { \fp_to_dim:n { \l__tikzfill_gea_xd_tl * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_xb_tl
              { \fp_to_dim:n { \l_tikzfill_gea_xstep_dim / 4 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_xc_tl { \fp_to_dim:n { \l__tikzfill_gea_xb_tl * 2 } }
            \tl_set:Ne \l__tikzfill_gea_ya_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 3 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_yb_tl
              { \fp_to_dim:n { \l_tikzfill_gea_ystep_dim / 2 * \l_tikzfill_gea_scale_fp } }
            \tl_set:Ne \l__tikzfill_gea_yc_tl { \fp_to_dim:n { \l__tikzfill_gea_ya_tl * 2 } }
          },
        draw-item =
          {
            \path [ fill-gea-style-1 ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xc_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xc_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathclose
              } ;
            \path [ fill-gea-style-2 ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { 0pt } { \l__tikzfill_gea_yc_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathclose
              } ;
            \path [ fill-gea-style-3 ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xc_tl } { \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xc_tl } { - \l__tikzfill_gea_ya_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathclose
              } ;
            \path [ fill-gea-style-4 ] \pgfextra
              {
                \pgfpathmoveto{\pgfqpoint { - \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { 0pt } { - \l__tikzfill_gea_yc_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xb_tl } { - \l__tikzfill_gea_yb_tl }}
                \pgfpathlineto{\pgfqpoint { \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathlineto{\pgfqpoint { - \l__tikzfill_gea_xa_tl } { 0pt }}
                \pgfpathclose
              } ;
          },
        #1
      }},
  }


\ExplSyntaxOff