Plotting a 3d cube a sphere and a vector in Matplotlib

Question

I search how to plot something with less instruction as possible with Matplotlib but I don t find any help for this in the documentation   I want to plot the following things    a wireframe cube centered in 0 with a side length of 2 a  wireframe  sphere centered in 0 with a radius of 1 a point at coordinates  0  0  0  a vector that starts at this point and goes to  1  1  1    How to do that

User · Answer

For drawing just the arrow  there is an easier method -  from mpl toolkits mplot3d import Axes3D import matplotlib pyplot as plt fig   plt figure   ax   fig gca projection  3d   ax set aspect  equal     draw the arrow ax quiver 0 0 0 1 1 1 length 1 0   plt show     quiver can actually be used to plot multiple vectors at one go  The usage is as follows -   from http   matplotlib org mpl toolkits mplot3d tutorial html highlight quiver mpl toolkits mplot3d Axes3D quiver   quiver X  Y  Z  U  V  W    kwargs   Arguments   X  Y  Z  The x  y and z coordinates of the arrow locations   U  V  W  The x  y and z components of the arrow vectors  The arguments could be array-like or scalars   Keyword arguments   length   1 0   float  The length of each quiver  default to 1 0  the unit is the same with the axes  arrow length ratio   0 3   float  The ratio of the arrow head with respect to the quiver  default to 0 3  pivot       tail         middle         tip      The part of the arrow that is at the grid point  the arrow rotates about this point  hence the name pivot  Default is    tail     normalize   False   True  When True  all of the arrows will be the same length  This defaults to False  where the arrows will be different lengths depending on the values of u v w

User · Answer

It is a little complicated  but you can draw all the objects by the following code   from mpl toolkits mplot3d import Axes3D import matplotlib pyplot as plt import numpy as np from itertools import product  combinations   fig   plt figure   ax   fig gca projection  3d   ax set aspect  equal      draw cube r    -1  1  for s  e in combinations np array list product r  r  r     2       if np sum np abs s-e      r 1 -r 0           ax plot3D  zip s  e   color  b      draw sphere u  v   np mgrid 0 2 np pi 20j  0 np pi 10j  x   np cos u  np sin v  y   np sin u  np sin v  z   np cos v  ax plot wireframe x  y  z  color  r      draw a point ax scatter  0    0    0   color  g   s 100     draw a vector from matplotlib patches import FancyArrowPatch from mpl toolkits mplot3d import proj3d   class Arrow3D FancyArrowPatch        def   init   self  xs  ys  zs   args    kwargs           FancyArrowPatch   init   self   0  0    0  0    args    kwargs          self  verts3d   xs  ys  zs      def draw self  renderer           xs3d  ys3d  zs3d   self  verts3d         xs  ys  zs   proj3d proj transform xs3d  ys3d  zs3d  renderer M          self set positions  xs 0   ys 0     xs 1   ys 1            FancyArrowPatch draw self  renderer   a   Arrow3D  0  1    0  1    0  1   mutation scale 20              lw 1  arrowstyle  -  gt    color  k   ax add artist a  plt show

User · Answer

My answer is an amalgamation of the above two with extension to drawing sphere of user-defined opacity and some annotation  It finds application in b-vector visualization on a sphere for magnetic resonance image  MRI   Hope you find it useful  from mpl toolkits mplot3d import Axes3D import matplotlib pyplot as plt import numpy as np  fig   plt figure   ax   fig gca projection  3d      draw sphere u  v   np mgrid 0 2 np pi 50j  0 np pi 50j  x   np cos u  np sin v  y   np sin u  np sin v  z   np cos v    alpha controls opacity ax plot surface x  y  z  color  quot g quot   alpha 0 3      a random array of 3D coordinates in  -1 1  bvecs  np random randn 20 3     tails of the arrows tails  np zeros len bvecs      heads of the arrows with adjusted arrow head length ax quiver tails tails tails bvecs   0   bvecs   1   bvecs   2             length 1 0  normalize True  color  r   arrow length ratio 0 15   ax set xlabel  X-axis   ax set ylabel  Y-axis   ax set zlabel  Z-axis    ax set title  b-vectors on unit sphere    plt show

[python] Plotting a 3d cube, a sphere and a vector in Matplotlib

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