Code for the top image.
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edge={{1,2},{1,5},{1,11},{2,12},{2,14},{2,15},{3,5},{3,15},{4,14},{4,17},{5,17},{5,19},{6,11},{6,20},{7,20},{7,21},{8,21},{8,22},{9,22},{9,23},{10,23},{10,24},{11,15},{11,24},{12,16},{12,26},{13,19},{13,26},{15,24},{15,26},{15,33},{16,17},{16,34},{17,25},{18,24},{18,33},{20,24},{20,27},{20,29},{22,29},{22,31},{24,31},{24,33},{25,26},{26,33},{26,45},{27,33},{27,38},{28,38},{28,39},{29,39},{29,40},{30,40},{30,41},{31,41},{31,42},{32,42},{32,43},{33,36},{33,43},{33,47},{35,43},{35,46},{36,37},{37,45},{37,46},{37,48},{38,43},{43,49},{44,48},{44,49},{45,47},{47,49}};Graphics[{
EdgeForm[None],{Cyan, Polygon[{{0,5},{16/5,37/5},{5,5}}], Red,Polygon[{{16/5,37/5},{28/5,46/5},{37/5,34/5},{5,5}}],
Green,Polygon[{{16/5,37/5},{4/5,53/5},{-(12/5),41/5},{0,5}}],Blue,Polygon[{{0,5},{0,0},{5,0},{5,5}}]},
Thick,Gray,
Line[pts[[#]]]&/@edge}]