Keywords: V-E+F=2 Proof Illustration.svg M - beginfig 1 pair A B C; A0 1cm 1cm ; A1 5cm 1cm ; A2 5cm 5cm ; A3 1cm 5cm ; A4 2cm 2cm ; A5 4cm 2cm ; A6 4cm 4cm ; A7 2cm 4cm ; for i 0 upto 7 draw Ai withpen pencircle scaled 6pt; Bi Ai + 6cm 0cm ; draw Bi withpen pencircle scaled 6pt; Ci Ai + 12cm 0cm ; draw Ci withpen pencircle scaled 6pt; endfor; draw A0--A1--A2--A3--cycle; draw A4--A5--A6--A7--cycle; draw A0--A4; draw A1--A5; draw A2--A6; draw A3--A7; draw B0--B1 dashed evenly; draw B1--B2--B3--B0; draw B4--B5--B6--B7--cycle; draw B0--B4; draw B1--B5; draw B2--B6; draw B3--B7; draw B4--B6; draw B0--B5; draw B1--B6; draw B2--B7; draw B3--B4; draw C1--C2--C3; draw C4--C5--C6--C7--cycle; draw C0--C4 dashed evenly; draw C1--C5; draw C2--C6; draw C3--C7; draw C4--C6; draw C0--C5 dashed evenly; draw C1--C6; draw C2--C7; draw C3--C4; endfig; end; Polyhedra |