Paper X: Universal Residual Seeds and Conditional Occupied-System Completion

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262 \path[draw=black!22,fill=black!13] (4.5,0.95) rectangle (4.8,1.25);
263 \path[draw,fill=white] (4.65,1.1) circle (0.035);
264 \path[draw=black!22,fill=black!13] (4.5,1.25) rectangle (4.8,1.55);
265 \path[draw,fill=white] (4.65,1.4) circle (0.035);
266 \path[draw=black!22,fill=black!13] (4.5,1.55) rectangle (4.8,1.85);
267 \path[draw,fill=black] (4.65,1.7) circle (0.035);
268 \path[draw=black!22,fill=black!13] (4.5,1.85) rectangle (4.8,2.15);
269 \path[draw,fill=black] (4.65,2) circle (0.035);
270 \path[draw=black!22,fill=black!13] (4.5,2.15) rectangle (4.8,2.45);
271 \path[draw,fill=black] (4.65,2.3) circle (0.035);
272 \path[draw=black!22,fill=black!13] (4.5,2.45) rectangle (4.8,2.75);
273 \path[draw,fill=white] (4.65,2.6) circle (0.035);
274 \path[draw=black!22,fill=black!13] (4.5,2.75) rectangle (4.8,3.05);
275 \path[draw,fill=white] (4.65,2.9) circle (0.035);
276 \path[draw=black!22,fill=black!13] (4.5,3.05) rectangle (4.8,3.35);
277 \path[draw,fill=black] (4.65,3.2) circle (0.035);
278 \path[draw=black!22,fill=black!13] (4.5,3.35) rectangle (4.8,3.65);
279 \path[draw,fill=black] (4.65,3.5) circle (0.035);
280 \path[draw=black!22,fill=black!13] (4.5,3.65) rectangle (4.8,3.95);
281 \path[draw,fill=black] (4.65,3.8) circle (0.035);
282 \path[draw,line width=.8pt] (1.2,0.35) rectangle (2.7,1.85);
283 \path[draw,line width=.8pt] (1.2,1.85) rectangle (2.7,3.35);
284 \path[draw,line width=.8pt] (2.7,0.35) rectangle (4.2,1.85);
285 \path[draw,line width=.8pt] (2.7,1.85) rectangle (4.2,3.35);
286 \node[font=\small,align=center] at (3,4.4) {$[0,12)^2\cap\mathbb Z^2$};
287 \node[font=\small,align=center] at (9.8,3.75) {four full $5\times5$ cells};
288 \node[font=\small,align=center] at (9.8,2.85) {$100$ bulk points: sum $0$};
289 \node[font=\small,align=center] at (9.8,1.95) {$44$ boundary points};
290 \node[font=\small,align=center] at (9.8,1.05) {actual total $S_{12}=1$};
291 \node[font=\small,align=center,font=\footnotesize] at (7,-0.1) {$|S_L|\le L^2-(L-(L\bmod5))^2$ for this square-lattice model.};
292 \end{tikzpicture}

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