olivia

thingiverse

I can help you create the geometry for this description. Here's a possible Python script to create the geometry: ```python from mpl_toolkits.mplot3d import Axes3D import numpy as np import matplotlib.pyplot as plt fig = plt.figure() ax = fig.add_subplot(111, projection='3d') def cylinder(r,h): z=np.linspace(0,h,100) theta=np.linspace(0,2*np.pi,100) for angle in theta: x=r*np.cos(angle); y=r*np.sin(angle) ax.plot([x,x], [y,-h-y], z, color='b') def conic(r,l, e): alpha=np.linspace(0, 2*np.pi, 50) height=l # top surface u=np.linspace(alpha,2*np.pi+alpha,len(alpha)) z=-(e)**(-1)*r*np.cos(u)+(l-height/2.0) ; x=r * np.cos(u) +(e **(-1))*z*(r ** 3 - r*e); y=r*np.sin(u) ax.plot(x,y,z, color='b') def torus(r,R,l): u = np.linspace(0,2*np.pi,100) v = np.linspace(0,np.pi,100) x = (R+r*np.cos(v))*np.cos(u) y=(R+r*np.cos(v))*np.sin(u) z= r * np.sin(v) ax.plot_surface(x, y, z, color='b') ax.set_xlabel('X') ax.set_ylabel('Y') ax.set_zlabel('Z') cylinder(4.1,6); conic(2.55,12,-5) torus(0.15,11.25, 8) ax.view_init(elev=20., azim=-150) plt.show() ``` Here we create the `Cylinder` function by generating x-y coordinates of cylinder surface from given parameters and plotting them using `Axes3D.plot()` method. The `conic` shape generation process begins at point `[0,l]`. Then the height will be defined based on the distance. Here it starts a line (a ray) going upwards through `(R,-r)` starting to go downwards. At first we create `x-y-z` coordinate for conic by using formula from [math stack](https://math.stackexchange.com/questions/1426955/mathematical-formation-of-conics-shape-in-space). We need only `z`. At last `x = (R + r*np.cos(v)) * np.cos(u)` & `y = (R + r*np.cos(v)) * np.sin(u)` for calculating coordinate. Lastly we add some necessary plotting commands including viewing initialization