Plot convex-hull in 3D using plotly

Question

I am trying to use plotly to plot the 3D convex-hull of a set of points. I am using Mesh3d objects but the surfaces are not created correctly (see the picture below). How can I fix this?

import plotly.graph_objects as go
import itertools, math, numpy as np

from scipy.spatial import ConvexHull

# this simply creates a set of points
n = 3
m = 3
E = np.array(list(itertools.product(np.arange(-1, 1.1, .5), repeat=m)))
V = [
 [-2.20676418,  1.53670924, -1.5541674 ],
 [ 0.63437404,  0.07306301,  3.82253086],
 [ 3.19989112,  0.71987311,  2.79373418]
]
x = np.array([np.dot(V, e) for e in E])

# then I compute the convex hull using scipy
xc = x[ConvexHull(x).vertices]

fig = go.Figure()
fig.add_trace(go.Mesh3d(x=xc[:, 0], y=xc[:, 1], z=xc[:, 2], color="blue", opacity=.5))
fig

Current output is:

Answer 1

I think what you miss is the alphahull option.

If you want a convex hull you need to add alphahull=0:

import plotly.graph_objects as go
import itertools, math, numpy as np

from scipy.spatial import ConvexHull

# This simply creates a set of points:
n = 3
m = 3
E = np.array(list(itertools.product(np.arange(-1, 1.1, .5), repeat=m)))
V = [
 [-2.20676418,  1.53670924, -1.5541674 ],
 [ 0.63437404,  0.07306301,  3.82253086],
 [ 3.19989112,  0.71987311,  2.79373418]
]
x = np.array([np.dot(V, e) for e in E])

# Then I compute the convex hull using scipy:
xc = x[ConvexHull(x).vertices]

fig = go.Figure()
fig.add_trace(go.Mesh3d(x=xc[:, 0], 
                        y=xc[:, 1], 
                        z=xc[:, 2], 
                        color="blue", 
                        opacity=.5,
                        alphahull=0))
fig

will give you the vube you want: