File:Saddle point.svg

Original file(SVG file, nominally 575 × 449 pixels, file size: 221 KB)

Captions

Captions

Add a one-line explanation of what this file represents

Summary edit

Description Saddle point with the coordinates of .
Date
Source Own work
Author Nicoguaro
SVG development
InfoField
 
The SVG code is valid.
 
This plot was created with Matplotlib.
Source code
InfoField

Python code

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

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
plot_args = {'rstride': 1, 'cstride': 1, 'cmap':"Blues_r",
             'linewidth': 0.4, 'antialiased': True,
             'vmin': -1, 'vmax': 1}

x, y = np.mgrid[-1:1:31j, -1:1:31j]
z = x**2 - y**2

ax.plot_surface(x, y, z, **plot_args)
ax.plot([0], [0], [0], 'ro')
ax.view_init(azim=-60, elev=30)
ax.set_xlim(-1, 1)
ax.set_ylim(-1, 1)
ax.set_zlim(-1, 1)
plt.xticks([-1, -0.5, 0, 0.5, 1],
           [r"$-1$", r"$-1/2$", r"$0$", r"$1/2$", r"$1$"])
plt.yticks([-1, -0.5, 0, 0.5, 1],
           [r"$-1$", r"$-1/2$", r"$0$", r"$1/2$", r"$1$"])
ax.set_zticks([-1, -0.5, 0, 0.5, 1])
ax.set_zticklabels([r"$-1$", r"$-1/2$", r"$0$", r"$1/2$", r"$1$"])
ax.w_xaxis.set_pane_color((1.0, 1.0, 1.0, 0.0)) 
ax.w_yaxis.set_pane_color((1.0, 1.0, 1.0, 0.0)) 
ax.w_zaxis.set_pane_color((1.0, 1.0, 1.0, 0.0))
plt.savefig("Saddle_point.svg", bbox_inches="tight", transparent=True)
plt.show()

Licensing edit

w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported 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.

Original upload log edit

This image is a derivative work of the following images:

Uploaded with derivativeFX

File history

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

Date/TimeThumbnailDimensionsUserComment
current00:23, 18 May 2016Thumbnail for version as of 00:23, 18 May 2016575 × 449 (221 KB)Nicoguaro (talk | contribs)Add the saddle point over the surface
00:18, 18 May 2016Thumbnail for version as of 00:18, 18 May 2016575 × 449 (220 KB)Nicoguaro (talk | contribs)* Smaller size. * Color of the surface corresponds with the height of each point. * Mesh over the surface.
20:07, 7 August 2012Thumbnail for version as of 20:07, 7 August 2012512 × 384 (10.4 MB)Zerodamage (talk | contribs)== {{int:filedesc}} == {{Information |Description=Saddle point with the coordinates of <math>z=x^2-y^2</math> by Kieff. |Source={{Derived from|Saddle_point.png|display=50}} |Date=2012-08-07 20:01 (UTC) |Author=*[[:File:Saddle_poi...

The following page uses this file:

File usage on other wikis

The following other wikis use this file:

Metadata