\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (aab);
\draw ($(a)!0.35!(b)$) coordinate (abb);
\draw ($(a)!0.7!(c)$) coordinate (aac);
\draw ($(a)!0.35!(c)$) coordinate (acc);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (aad);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (add);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aac),(aad)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aab)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%

\vspace{.25in}

%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aab),(aad)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aac)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aab),(aac)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aad)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aad)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aab),(aac)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aac)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aab),(aad)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%

\vspace{.25in}

%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aab)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aac),(aad)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aab)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aac)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aab)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aad)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aac)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aab)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%

\vspace{.25in}

%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aad)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aab)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aac)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aad)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aad)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aac)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aab),(aac)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aad)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%

\vspace{.25in}

%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aab),(aad)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aac)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aac),(aad)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aab)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aab)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aac),(aad)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%
\hspace{.25in}
%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aac)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aab),(aad)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
%%%

\vspace{.25in}

%%%
\begin{tikzpicture}[scale=.63]
\draw (0,0) coordinate (a);
\draw (-2,-1) coordinate (b);
\draw (2,-1) coordinate (c);
\draw (1,2.5) coordinate (d);
\draw (b) -- (a) -- (c);
\draw (a) -- (d);
\foreach \x in {(a),(b),(c),(d)} {%\fill[white] \x circle (.5); \draw \x circle (.5);
\fill[white] \x++(-.18,.43) rectangle ++(.36,-.86);
\draw \x ++(0,.25) circle (.125);\draw \x ++(0,-.25) circle (.125);
\draw \x++(-.18,.43) rectangle ++(.36,-.86);}%% tile boundary
\draw (a)++(0,-.125) -- ++(0,.25);
\draw ($(a)!0.5!(d)$)++(.1,.1) node[left] {$k$};
\draw ($(a)!0.5!(b)$)++(.2,.3) node[left] {$i$};
\draw ($(a)!0.5!(c)$)++(.35,.3) node[left] {$j$};
\draw ($(a)!0.7!(b)$) coordinate (abb);
\draw ($(a)!0.35!(b)$) coordinate (aab);
\draw ($(a)!0.7!(c)$) coordinate (acc);
\draw ($(a)!0.35!(c)$) coordinate (aac);
\draw ($(a)!0.65!(d)$)++(-.1,0) coordinate (add);
\draw ($(a)!0.25!(d)$)++(-.1,-.1) coordinate (aad);
\foreach \x in {(aab),(abb),(aac),(acc),(aad),(add)} {\draw \x ++(0,.15) circle (.0625); \draw \x ++(0,.4) circle (.0625);
\draw \x++(-.1,.04) rectangle ++(.2,.46);}%% tile boundary
%%% picture-specific details appear below
\foreach \x in {(a)} {\fill[black] \x ++(0,-.25) circle (.125);} %% big filled in, low
\foreach \x in {(a)} {\fill[black] \x ++(0,.25) circle (.125);} %% big filled in, high
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.15) circle (.0625);} %% little filled in, low
\foreach \x in {(aab),(aac),(aad)}{\fill[black] \x++(0,.4) circle (.0625);} %% little filled in, high
\foreach \x in {(aab),(aac),(aad)}{\draw \x++(0,.2125) -- ++(0,.125);} %% little lines
\foreach \x in {(aad)}{\draw \x++(0,.4) circle (.1);} %% little circled, high
\foreach \x in {(aab),(aac)}{\draw \x++(0,.15) circle (.1);} %% little circled, low
\end{tikzpicture}
