Parametric Line Generated Surface

The Hyperboloid of Revolution example surface.

import numpy as np
import s3dlib.surface as s3d

#.. Hyperboloid of Revolution

# 1. Define functions to examine ....................................

def circle(t,r,z,twist) :
    theta = (2*t+twist)*np.pi
    x = r*np.cos(theta)
    y = r*np.sin(theta)
    z = z*np.ones(len(t))
    return x,y,z

radius, twist = 1, 0.75
top_circle = lambda t: circle(t,radius, 1,  0.0)
btm_circle = lambda t: circle(t,radius,-1.0,twist)

# 2. Setup and map surfaces .........................................
rez=3

line_1 = s3d.ParametricLine(rez,top_circle)
line_2 = s3d.ParametricLine(rez,btm_circle)

surface = line_1.get_surface_to_line(line_2,lrez=6)

s3d.save_surfgeom_to_obj('obj_files/hyperboloid.obj',surface)