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