# File:HyperbolicParaboloid.svg

Original file(SVG file, nominally 318 × 304 pixels, file size: 95 KB)

## Summary

Description
English: A surface of the paraboloid given parametrically by:
${\displaystyle x={\sqrt {u}}\cos v}$
${\displaystyle y={\sqrt {u}}\sin v}$
${\displaystyle z=u\cos v\sin v\ }$
Español: Superficie del paraboloide representado paramétricamente por:
${\displaystyle x={\sqrt {u}}\cos v}$
${\displaystyle y={\sqrt {u}}\sin v}$
${\displaystyle z=u\cos v\sin v\ }$
Türkçe: Parametrik olarak verilen bir paraboloidin yüzeyi:
${\displaystyle x={\sqrt {u}}\cos v}$
${\displaystyle y={\sqrt {u}}\sin v}$
${\displaystyle z=u\cos v\sin v\ }$
Date
Source Own work
Author Nicoguaro
SVG development
 This vector image was created with Matplotlib.

## Python

import numpy as np
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt

fig = plt.figure()
plot_args = {'rstride': 1, 'cstride': 1, 'cmap':"gnuplot2",
'linewidth': 0.6, 'antialiased': True, 'color': 'k',
'vmin':-0.6, 'vmax':0.6}

u = np.linspace(0, 1, 10)
v = np.linspace(-np.pi, np.pi, 40)

x = np.outer(np.sqrt(u), np.cos(v))
y = np.outer(np.sqrt(u), np.sin(v))
z = x*y

surf = ax.plot_surface(x, y, z, **plot_args)
plt.axis("off")
ax.view_init(azim=-10, elev=35)
ax.set_xlim(-1, 1)
ax.set_ylim(-1, 1)
ax.set_zlim(-0.5, 0.5)
plt.savefig("HyperbolicParaboloid.svg", bbox_inches="tight", transparent=True)
plt.show()


## Licensing

I, the copyright holder of this work, hereby publish it under the following license:

## File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current18:37, 14 February 2016318 × 304 (95 KB)NicoguaroCrop the image.
18:30, 14 February 2016575 × 449 (67 KB)NicoguaroRemove background
18:26, 14 February 2016575 × 449 (67 KB)NicoguaroUser created page with UploadWizard
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