数学图形(2.18)Hyperbolical conical spiral双曲圆锥螺线

双曲圆锥螺线

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

vertices = 12000

t = from (-20*PI) to (20*PI)

r = 10
a = rand2(PI*0.2, PI*0.8)

x = r*cos(t)/t
z = r*sin(t)/t
y = r*cot(a)/t

看其脚本代码与截图,当t为无穷大时,上下两端的曲线才会相交.可以逆向思维一下,将t取倒数,脚本代码变为:

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

vertices = 12000

w = from (-1) to (1)

t = 1/w

r = 10
a = rand2(PI*0.2, PI*0.8)

x = r*cos(t)/t
z = r*sin(t)/t
y = r*cot(a)/t