百四十四角形
x 1 = 2 cos  2 π 144 + 2 cos  98 π 144 + 2 cos  94 π 144 = 0 x 2 = 2 cos  14 π 144 + 2 cos  110 π 144 + 2 cos  82 π 144 = 0 x 3 = 2 cos  10 π 144 + 2 cos  86 π 144 + 2 cos  106 π 144 = 0 x 4 = 2 cos  70 π 144 + 2 cos  26 π 144 + 2 cos  122 π 144 = 0 x 5 = 2 cos  50 π 144 + 2 cos  142 π 144 + 2 cos  46 π 144 = 0 x 6 = 2 cos  62 π 144 + 2 cos  130 π 144 + 2 cos  34 π 144 = 0 x 7 = 2 cos  38 π 144 + 2 cos  134 π 144 + 2 cos  58 π 144 = 0 x 8 = 2 cos  22 π 144 + 2 cos  74 π 144 + 2 cos  118 π 144 = 0 {\displaystyle {\begin{aligned}&x_{1}=2\cos {\frac {2\pi }{144}}+2\cos {\frac {98\pi }{144}}+2\cos {\frac {94\pi }{144}}=0\\&x_{2}=2\cos {\frac {14\pi }{144}}+2\cos {\frac {110\pi }{144}}+2\cos {\frac {82\pi }{144}}=0\\&x_{3}=2\cos {\frac {10\pi }{144}}+2\cos {\frac {86\pi }{144}}+2\cos {\frac {106\pi }{144}}=0\\&x_{4}=2\cos {\frac {70\pi }{144}}+2\cos {\frac {26\pi }{144}}+2\cos {\frac {122\pi }{144}}=0\\&x_{5}=2\cos {\frac {50\pi }{144}}+2\cos {\frac {142\pi }{144}}+2\cos {\frac {46\pi }{144}}=0\\&x_{6}=2\cos {\frac {62\pi }{144}}+2\cos {\frac {130\pi }{144}}+2\cos {\frac {34\pi }{144}}=0\\&x_{7}=2\cos {\frac {38\pi }{144}}+2\cos {\frac {134\pi }{144}}+2\cos {\frac {58\pi }{144}}=0\\&x_{8}=2\cos {\frac {22\pi }{144}}+2\cos {\frac {74\pi }{144}}+2\cos {\frac {118\pi }{144}}=0\\\end{aligned}}}