黄金分割是循环小数吗？

无限不循环

不是，是无理数！[5^(1/2)-1]/2
约等于0.618

不是。它是无理数
φ ≈ 1 φ ≈ 1 + 1/1 = 2/1 = 2φ ≈ 1 + 1/(1+1/1) = 3/2 = 1.5φ ≈ 1 + 1/(1+1/(1+1)) = 5/3 = 1.666667φ ≈ 1 + 1/(1+1/(1+(1+1))) = 8/5 = 1.6φ ≈ 1 + 1/(1+1/(1+(1+(1+1)))) = 13/8 = 1.625φ ≈ 1 + 1/(1+1/(1+(1+(1+(1+1))))) = 21/13 = 1.615385φ ≈ 1 + 1/(1+1/(1+(1+(1+(1+(1+1)))))) = 34/21 = 1.619048φ ≈ 1 + 1/(1+1/(1+(1+(1+(1+(1+(1+1))))))) = 55/34 = 1.617647φ ≈ 1 + 1/(1+1/(1+(1+(1+(1+(1+(1+(1+1)))))))) = 89/55 = 0.618182...

不是,是无理数.前面的1024位为:
1.6180339887 4989484820 4586834365 6381177203 0917980576
2862135448 6227052604 6281890244 9707207204 1893911374
8475408807 5386891752 1266338622 2353693179 3180060766
7263544333 8908659593 9582905638 3226613199 2829026788
0675208766 8925017116 9620703222 1043216269 5486262963
1361443814 9758701220 3408058879 5445474924 6185695364
8644492410 4432077134 4947049565 8467885098 7433944221
2544877066 4780915884 6074998871 2400765217 0575179788
341662