3D Circular Arc Helicoid shape using Python

 import matplotlib.pyplot as pltimport numpy as npu=np.linspace(0,4*np.pi,100)v=np.linspace(-2,2,50)U,V=np.meshgrid(u,v)a=0.5X=V*np.cos(U)Y=V*np.sin(U)Z=a*Ufig=plt.figure(figsize=(6,6))ax=fig.add_subplot(111,projection='3d')ax.plot_surface(X,Y,Z,cmap='plasma',alpha=0.8,edgecolor='k')ax.set_title('3D...

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Iso Surface marching Cube using Python

 import numpy as npimport matplotlib.pyplot as pltfrom skimage import measuren = 64x, y, z = np.ogrid[-1:1:n*1j, -1:1:n*1j, -1:1:n*1j]sphere = x**2 + y**2 + z**2verts, faces, normals, values = measure.marching_cubes(sphere, level=0.5)fig...

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3D Volume Rendering Pattern using Python

 import numpy as npimport matplotlib.pyplot as pltfrom mpl_toolkits.mplot3d import Axes3Ddata = np.random.rand(50, 50, 50)fig = plt.figure(figsize=(10, 8))ax = fig.add_subplot(111, projection='3d')x, y, z = np.indices(data.shape)threshold...

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3D Conical Surface using Python

 import numpy as npimport matplotlib.pyplot as pltfrom mpl_toolkits.mplot3d import Axes3Dr_max=5h=10num_points=100r=np.linspace(0,r_max,num_points)theta=np.linspace(0,2*np.pi,num_points)R,Theta=np.meshgrid(r,theta)X=R*np.cos(Theta)Y=R*np.sin(Theta)Z=h*(1-R/r_max)fig=plt.figure(figsize=(6,6))ax=fig.add_subplot(111,projection='3d')ax.plot_surface(X,Y,Z,cmap='inferno',edgecolor='k',alpha=0.7)ax.set_title('3D...

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3D Topographical Pattern using Python

 import matplotlib.pyplot as pltimport numpy as npfrom mpl_toolkits.mplot3d import Axes3Dx=np.linspace(-5,5,100)y=np.linspace(-5,5,100)x,y=np.meshgrid(x,y)z=np.sin(np.sqrt(x**2+y**2))fig=plt.figure(figsize=(6,6))ax=fig.add_subplot(111,projection='3d')surface=ax.plot_surface(x,y,z,cmap='terrain',edgecolor='none')fig.colorbar(surface)ax.set_xlabel('X...

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Torus Knot Pattern using Python

 import matplotlib.pyplot as pltimport numpy as npfrom mpl_toolkits.mplot3d import Axes3DR=3r=1p=2q=3theta=np.linspace(0,2*np.pi,1000)x=(R+r*np.cos(q*theta))*np.cos(p*theta)y=(R+r*np.cos(q*theta))*np.sin(p*theta)z=r*np.sin(q*theta)fig=plt.figure(figsize=(6,6))ax=fig.add_subplot(111,projection='3d')ax.plot(x,y,z,color='purple',lw=2)ax.set_xlabel('X...

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3D Parametric Helix Pattern using Python

 import matplotlib.pyplot as pltimport numpy as npfrom mpl_toolkits.mplot3d import Axes3Dn=1000t=np.linspace(0,10*np.pi,n)x=np.sin(t)y=np.cos(t)z=tfig=plt.figure(figsize=(6,6))ax=fig.add_subplot(111,projection='3d')ax.plot(x,y,z,color='purple',lw=2)ax.set_title("3D...

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Apollonian Gasket Pattern using Python

 import matplotlib.pyplot as pltimport numpy as npdef draw_circle(ax, x, y, r):    circle = plt.Circle((x, y), r, edgecolor='black', facecolor='none')    ax.add_patch(circle)def apollonian(ax, x, y, r, depth): ...

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