% Standard Schlegel drawing: concentric 5/10/5 vertex rings.
\providecommand{\drawDodecahedralExterior}{%
  \coordinate (v0) at (1.21352549,0.88167788);
  \coordinate (v1) at (1.21352549,-0.88167788);
  \coordinate (v2) at (2.18434588,-1.58702018);
  \coordinate (v3) at (0.83434588,-2.56785259);
  \coordinate (v4) at (1.20516628,-3.70912041);
  \coordinate (v5) at (-3.15516628,-2.29236248);
  \coordinate (v6) at (-3.15516628,2.29236248);
  \coordinate (v7) at (-2.18434588,1.58702018);
  \coordinate (v8) at (-0.83434588,2.56785259);
  \coordinate (v9) at (-0.46352549,1.42658477);
  \coordinate (v10) at (2.18434588,1.58702018);
  \coordinate (v11) at (-0.46352549,-1.42658477);
  \coordinate (v12) at (2.70000000,0.00000000);
  \coordinate (v13) at (-0.83434588,-2.56785259);
  \coordinate (v14) at (3.90000000,0.00000000);
  \coordinate (v15) at (-2.18434588,-1.58702018);
  \coordinate (v16) at (1.20516628,3.70912041);
  \coordinate (v17) at (-2.70000000,-0.00000000);
  \coordinate (v18) at (0.83434588,2.56785259);
  \coordinate (v19) at (-1.50000000,-0.00000000);
  \coordinate (cutcenter) at (1.21352549,0.00000000);
  \coordinate (portNW) at (0.59099113,1.08395155);
  \coordinate (portNE) at (1.62472331,1.18043058);
  \coordinate (portSE) at (1.62472331,-1.18043058);
  \coordinate (portSW) at (0.59099113,-1.08395155);
  \draw (v2)--(v3);
  \draw (v2)--(v12);
  \draw (v3)--(v4);
  \draw (v3)--(v13);
  \draw (v4)--(v5);
  \draw (v4)--(v14);
  \draw (v5)--(v6);
  \draw (v5)--(v15);
  \draw (v6)--(v7);
  \draw (v6)--(v16);
  \draw (v7)--(v8);
  \draw (v7)--(v17);
  \draw (v8)--(v9);
  \draw (v8)--(v18);
  \draw (v9)--(v19);
  \draw (v10)--(v12);
  \draw (v10)--(v18);
  \draw (v11)--(v13);
  \draw (v11)--(v19);
  \draw (v12)--(v14);
  \draw (v13)--(v15);
  \draw (v14)--(v16);
  \draw (v15)--(v17);
  \draw (v16)--(v18);
  \draw (v17)--(v19);
  \draw (v9)--(portNW);
  \draw (v10)--(portNE);
  \draw (v2)--(portSE);
  \draw (v11)--(portSW);
  \fill (v2) circle[radius=1.6pt];
  \fill (v3) circle[radius=1.6pt];
  \fill (v4) circle[radius=1.6pt];
  \fill (v5) circle[radius=1.6pt];
  \fill (v6) circle[radius=1.6pt];
  \fill (v7) circle[radius=1.6pt];
  \fill (v8) circle[radius=1.6pt];
  \fill (v9) circle[radius=1.6pt];
  \fill (v10) circle[radius=1.6pt];
  \fill (v11) circle[radius=1.6pt];
  \fill (v12) circle[radius=1.6pt];
  \fill (v13) circle[radius=1.6pt];
  \fill (v14) circle[radius=1.6pt];
  \fill (v15) circle[radius=1.6pt];
  \fill (v16) circle[radius=1.6pt];
  \fill (v17) circle[radius=1.6pt];
  \fill (v18) circle[radius=1.6pt];
  \fill (v19) circle[radius=1.6pt];
  \draw[dash pattern=on 2pt off 2pt,black!50,line width=.55pt] (cutcenter) circle[radius=1.25];
}