数学图形(2.3)绕在圆环上的曲线

vertices = 12000
t = from 0 to (64*PI)

p = rand_int2(2, 32)
q = rand_int2(2, 32)

r = 2 + cos(q/p*t)

x = r*sin(t)
y = sin(q/p*t)
z = r*cos(t)

r = 0.5 + 0.5*sin(t)
g = 0.5 + 0.5*y
b = 0.5 + 0.5*cos(t)

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

vertices = 10000

t = from 0 to (20*PI)

n = rand2(0.5, 10)
a = rand2(5, 10)
b = rand2(1, 5)

x = (a + b*cos(n*t))*cos(t)
z = (a + b*cos(n*t))*sin(t)
y = b*sin(n*t)

#http://www.mathcurve.com/courbes3d/noeuds/noeudenhuit.shtml
vertices = 1000

t = from 0 to (80*PI)

x = sin(t)
y = sin(t)*cos(t)/2
z = sin(2*t)*sin(t/2) / 4

r = 10;
x = x*r
y = y*r
z = z*r

#http://www.mathcurve.com/courbes3d/noeuds/noeudenhuit.shtml
vertices = 1000

t = from 0 to (80*PI)

x = 3*cos(t) + 5*cos(3*t)
y = 3*sin(t) + 5*sin(3*t)
z = sin(5*t/2)*sin(3*t) + sin(4*t) - sin(6*t)

r = 4;
x = x*r
y = y*r
z = z*r

#http://www.mathcurve.com/courbes3d/noeuds/noeudenhuit.shtml
vertices = 12000

t = from 0 to (2*PI)

a = sin(t)
b = cos(t)
c = sin(2*t)
d = cos(2*t)
e = sin(3*t)
f = cos(3*t)

x = 32*b - 51*a - 104*d - 34*c + 104*f - 91*e
y = 94*b + 41*a + 113*d - 68*f - 124*e
z = 16*b + 73*a - 211*d - 39*c - 99*f - 21*e

vertices = 10000
t = from 0 to (6*PI)

p = 3
q = 7

r = 2 + cos(q/p*t)

x = r*sin(t)
y = sin(q/p*t)
z = r*cos(t)

r = 0.5 + 0.5*sin(t)
g = 0.5 + 0.5*y
b = 0.5 + 0.5*cos(t)