ipyvolume-demo.ipynb

Kernel: Python 3 (Ubuntu Linux)

IpyVolume on CoCalc

https://ipyvolume.readthedocs.io/en/latest/index.html

• Python 3 (Ubuntu Linux)

• Plain Jupyter Notebook Server

• Internet access necessary (hdz2000, ... datasets)

import ipyvolume

ipyvolume.__version__

'0.5.1'

import ipyvolume as ipv
import numpy as np

hdz = ipv.datasets.hdz2000.fetch()

ipv.pylab.volshow(hdz.data)

/usr/local/lib/python3.6/dist-packages/ipyvolume/serialize.py:81: RuntimeWarning: invalid value encountered in true_divide
  gradient = gradient / np.sqrt(gradient[0]**2 + gradient[1]**2 + gradient[2]**2)

# only x is a sequence of arrays
x = np.array([[-1, -0.8], [1, -0.1], [0., 0.5]])
y = np.array([0.0, 0.0])
z = np.array([0.0, 0.0])
ipv.figure()
s = ipv.scatter(x, y, z, marker='sphere', size=10)
ipv.xyzlim(-1, 1)
ipv.animation_control(s) # shows controls for animation controls
ipv.show()

# create 2d grids: x, y, and r
u = np.linspace(-10, 10, 25)
x, y = np.meshgrid(u, u)
r = np.sqrt(x**2+y**2)
print("x,y and z are of shape", x.shape)
# and turn them into 1d
x = x.flatten()
y = y.flatten()
r = r.flatten()
print("and flattened of shape", x.shape)

# create a sequence of 15 time elements
time = np.linspace(0, np.pi*2, 15)
z = np.array([(np.cos(r + t) * np.exp(-r/5)) for t in time])
print("z is of shape", z.shape)

# draw the scatter plot, and add controls with animate_glyphs
ipv.figure()
s = ipv.scatter(x, z, y, marker="sphere")
ipv.animation_control(s, interval=200)
ipv.ylim(-3,3)
ipv.show()

x,y and z are of shape (25, 25)
and flattened of shape (625,)
z is of shape (15, 625)

X = np.arange(-5, 5, 0.25*1)
Y = np.arange(-5, 5, 0.25*1)
X, Y = np.meshgrid(X, Y)
R = np.sqrt(X**2 + Y**2)
Z = np.sin(R)

from matplotlib import cm
colormap = cm.coolwarm
znorm = Z - Z.min()
znorm /= znorm.ptp()
znorm.min(), znorm.max()
color = colormap(znorm)

ipv.figure()
mesh = ipv.plot_surface(X, Z, Y, color=color[...,:3])
ipv.show()