# 3D Surface Plots in Python

How to make 3D-surface plots in Python

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#### Topographical 3D Surface Plot¶

In [1]:
import plotly.graph_objects as go

import pandas as pd

# Read data from a csv

fig = go.Figure(data=[go.Surface(z=z_data.values)])

fig.update_layout(title='Mt Bruno Elevation', autosize=False,
width=500, height=500,
margin=dict(l=65, r=50, b=65, t=90))

fig.show()


### Passing x and y data to 3D Surface Plot¶

If you do not specify x and y coordinates, integer indices are used for the x and y axis. You can also pass x and y values to go.Surface.

In [2]:
import plotly.graph_objects as go
import pandas as pd
import numpy as np
# Read data from a csv
z = z_data.values
sh_0, sh_1 = z.shape
x, y = np.linspace(0, 1, sh_0), np.linspace(0, 1, sh_1)
fig = go.Figure(data=[go.Surface(z=z, x=x, y=y)])
fig.update_layout(title='Mt Bruno Elevation', autosize=False,
width=500, height=500,
margin=dict(l=65, r=50, b=65, t=90))
fig.show()


#### Surface Plot With Contours¶

Display and customize contour data for each axis using the contours attribute (reference).

In [3]:
import plotly.graph_objects as go

import pandas as pd

# Read data from a csv

fig = go.Figure(data=[go.Surface(z=z_data.values)])
fig.update_traces(contours_z=dict(show=True, usecolormap=True,
highlightcolor="limegreen", project_z=True))
fig.update_layout(title='Mt Bruno Elevation', autosize=False,
scene_camera_eye=dict(x=1.87, y=0.88, z=-0.64),
width=500, height=500,
margin=dict(l=65, r=50, b=65, t=90)
)

fig.show()


#### Configure Surface Contour Levels¶

This example shows how to slice the surface graph on the desired position for each of x, y and z axis. contours.x.start sets the starting contour level value, end sets the end of it, and size sets the step between each contour level.

In [4]:
import plotly.graph_objects as go

fig = go.Figure(go.Surface(
contours = {
"x": {"show": True, "start": 1.5, "end": 2, "size": 0.04, "color":"white"},
"z": {"show": True, "start": 0.5, "end": 0.8, "size": 0.05}
},
x = [1,2,3,4,5],
y = [1,2,3,4,5],
z = [
[0, 1, 0, 1, 0],
[1, 0, 1, 0, 1],
[0, 1, 0, 1, 0],
[1, 0, 1, 0, 1],
[0, 1, 0, 1, 0]
]))
fig.update_layout(
scene = {
"xaxis": {"nticks": 20},
"zaxis": {"nticks": 4},
'camera_eye': {"x": 0, "y": -1, "z": 0.5},
"aspectratio": {"x": 1, "y": 1, "z": 0.2}
})
fig.show()


#### Multiple 3D Surface Plots¶

In [5]:
import plotly.graph_objects as go
import numpy as np

z1 = np.array([
[8.83,8.89,8.81,8.87,8.9,8.87],
[8.89,8.94,8.85,8.94,8.96,8.92],
[8.84,8.9,8.82,8.92,8.93,8.91],
[8.79,8.85,8.79,8.9,8.94,8.92],
[8.79,8.88,8.81,8.9,8.95,8.92],
[8.8,8.82,8.78,8.91,8.94,8.92],
[8.75,8.78,8.77,8.91,8.95,8.92],
[8.8,8.8,8.77,8.91,8.95,8.94],
[8.74,8.81,8.76,8.93,8.98,8.99],
[8.89,8.99,8.92,9.1,9.13,9.11],
[8.97,8.97,8.91,9.09,9.11,9.11],
[9.04,9.08,9.05,9.25,9.28,9.27],
[9,9.01,9,9.2,9.23,9.2],
[8.99,8.99,8.98,9.18,9.2,9.19],
[8.93,8.97,8.97,9.18,9.2,9.18]
])

z2 = z1 + 1
z3 = z1 - 1

fig = go.Figure(data=[
go.Surface(z=z1),
go.Surface(z=z2, showscale=False, opacity=0.9),
go.Surface(z=z3, showscale=False, opacity=0.9)

])

fig.show()


### Setting the Surface Color¶

You can use the surfacecolor attribute to define the color of the surface of your figure. In this example, the surface color represents the distance from the origin, rather than the default, which is the z value.

In [6]:
import plotly.graph_objects as go
from plotly.subplots import make_subplots

# Equation of ring cyclide
# see https://en.wikipedia.org/wiki/Dupin_cyclide
import numpy as np
a, b, d = 1.32, 1., 0.8
c = a**2 - b**2
u, v = np.mgrid[0:2*np.pi:100j, 0:2*np.pi:100j]
x = (d * (c - a * np.cos(u) * np.cos(v)) + b**2 * np.cos(u)) / (a - c * np.cos(u) * np.cos(v))
y = b * np.sin(u) * (a - d*np.cos(v)) / (a - c * np.cos(u) * np.cos(v))
z = b * np.sin(v) * (c*np.cos(u) - d) / (a - c * np.cos(u) * np.cos(v))

fig = make_subplots(rows=1, cols=2,
specs=[[{'is_3d': True}, {'is_3d': True}]],
subplot_titles=['Color corresponds to z', 'Color corresponds to distance to origin'],
)

fig.add_trace(go.Surface(x=x, y=y, z=z, colorbar_x=-0.07), 1, 1)
fig.add_trace(go.Surface(x=x, y=y, z=z, surfacecolor=x**2 + y**2 + z**2), 1, 2)
fig.update_layout(title_text="Ring cyclide")
fig.show()