一类单侧曲面

A Kind of One-Sided Surface

本文证明了将一条长带的一条短边固定，另一短边以其中线为轴旋转。周半与固定之短边粘合所成曲面为单侧曲面，并推导其方程为： ｘ＝Ｒｃｏｓθ＋ｃｏｓθｓｉｎ（２ｎ－１）／２·θ ｙ＝ Ｒｓｉｎθ －ｓｉｎθｓｉｎ （２ｎ－１）／２·θ；从而推广了莫比乌斯带。 ｚ＝

This paper proof that fixed one short side of a long belt, the other is made half and n rotations around the axis in this middle line,paste the side with another, turn into one -sided surface, and its equation is: θ, thus Mobius belt has been popularized.