Sphere Spring (Spherical Spiral)

Made in OpenScad using sin and cos:

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$fn=7;

pi = 3.14;

k = 57.2;//1 radian

iterations = 400;
turns = 10;
c = turns*2;
r = 1.0;//radius 1 (unit sphere)

ti = 0;
tf = pi*k;
td = tf/iterations;//step


for (t=[ti:td:tf-td]) {

//echo(floor(t/td));

t1 = t;
t2 = t+td;

x1 = r * sin(t1) * cos(c*t1);
y1 = r * sin(t1) * sin(c*t1);
z1 = r * cos(t1);

x2 = r * sin(t2) * cos(c*t2);
y2 = r * sin(t2) * sin(c*t2);
z2 = r * cos(t2);

hull() {

translate([x1,y1,z1]) {
sphere(r=0.05, $fa = .1, $fs = .1);
}

translate([x2,y2,z2]) {
sphere(r=0.05, $fa = .1, $fs = .1);
}

}

}