Mathematical graphics (2.11) curve graphics posted on the ball

We have released a number of two-dimensional curve graphs. In fact, all two-dimensional graphs can be converted into three-dimensional images by adding one dimension value. the content of this section is to post a two-dimensional curve to a sphere to generate a three-dimensional curve.

The following formula is used to generate the value of the third dimension:

Y = SQRT (A * A-x * X-z * z)

 

Here is an example of a two-dimensional curve:

Mathematical graphics (1.27) flowers

Cyclic-harmonic_sphere

vertices = 12000t = from 0 to (40*PI)a = 10e = 1n = rand2(0.1, 10);p = a*(1 + e*cos(n*t))x = p*cos(t)z = p*sin(t)r = array_max(p)y = sqrt(r*r - p*p)

Folioide_sphere

#http://www.mathcurve.com/courbes2d/folioide/folioide.shtmlvertices = 12000t = from (-20*PI) to (20*PI)e = rand2(0.1, 10)a = 10 / ei = rand_int2(2, 10)j = rand_int2(1, 10)n = i/jp = a*(e*cos(n*t) + sign(t)*e*sqrt(1 - pow(cos(n*t), 2)))x = p*cos(t)z = p*sin(t)r = array_max(p)y = sqrt(r*r - x*x - z*z)

 

Change the radius to generate a grass hat curve.

Cyclic-harmonic_hat

vertices = 12000t = from 0 to (40*PI)a = 10e = 1n = rand2(0.1, 10);p = a*(1 + e*cos(n*t))x = p*cos(t)z = p*sin(t)y = sqrt(a*a - x*x - z*z)

The color I set for my hat is not very good when I cut the graph. I didn't realize it until I cut the last graph.