数学图形(2.24) 帖在圆柱面上的曲线

这一节文章中,将总结一些在圆柱面上的曲线.

之前的文章数学图形(2.8)Viviani曲线,它是圆柱与球相交而生成的曲线.

 

(1)crepe曲线

#http://www.mathcurve.com/courbes3d/crepe/crepe.shtml



vertices = 2000



t = from 0 to (2*PI)



a = 10

 

x = a*cos(t)

y = a*sin(t)

z = a*sin(2*t)

 

(2)Seam of a clinder

#http://www.mathcurve.com/courbes3d/couture/couture.shtml



vertices = 2000



t = from 0 to (2*PI)



a = 10



x = a*cos(3*t)

y = a*sin(3*t)

z = a*sqrt(3)/2*sin(2*t)

 

(3)Tangentoidal crown

#http://www.mathcurve.com/courbes3d/couronnetangentoidale/couronnetangentoidale.shtml



vertices = 12000



t = from 0 to (2*PI)



a = 10

b = rand2(1, 10)

n = rand_int2(1, 20)

 

x = a*cos(t)

y = a*sin(t)

z = b*tan(n*t/2)



#z = limit(z, -50, 50)

这是帖在柱面上的tan曲线