# 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:
 This file is licensed under the Creative Commons Attribution 4.0 International license. You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

## 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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