File:Saddle point.svg

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

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Summary

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

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

This image is a derivative work of the following images:

Uploaded with derivativeFX

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Items portrayed in this file

depicts

inception

17 May 2016

File history

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Date/TimeThumbnailDimensionsUserComment
current00:23, 18 May 2016Thumbnail for version as of 00:23, 18 May 2016575 × 449 (221 KB)NicoguaroAdd the saddle point over the surface
00:18, 18 May 2016Thumbnail for version as of 00:18, 18 May 2016575 × 449 (220 KB)Nicoguaro* 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== {{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...

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