File:Blowup.png
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Size of this preview: 600 × 600 pixels. Other resolutions: 240 × 240 pixels | 480 × 480 pixels | 768 × 768 pixels | 1,024 × 1,024 pixels.
Original file (1,024 × 1,024 pixels, file size: 182 KB, MIME type: image/png)
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Summary[edit]
DescriptionBlowup.png |
English: An affine chart of the blowing-up of the affine plane at the origin. The exceptional curve is marked in red, the strict transforms of some lines through the origin are marked in gray. |
Date | |
Source | Own work |
Author | Robx |
Generated using surf, with the following script.
width = 1024;
height = 1024;
scale_x = 0.2;
//scale_y = 2;
rot_y = -0.4;
rot_x = 0.05;
second = scale;
third = rotate;
//clip = 3;
// affine plane has coordinates z,y
surface = x*z-y;
//surface = x;
draw_surface;
curve_width = 1;
curve_red = 100;
curve_blue = 100;
curve_green = 100;
double pi = 2*arcsin(1);
int steps = 12;
int stepsdrawn = 9;
int i = -stepsdrawn;
double angle = 0;
loop:
alpha = i*pi/(2*steps);
//plane = cos(alpha)*y + sin(alpha)*z;
plane = x - tan(alpha);
cut_with_plane;
i = i + 1;
if (i < stepsdrawn) goto loop;
// E
curve_red = 200;
curve_blue = 30;
curve_green = 30;
plane = z-0;
cut_with_plane;
Licensing[edit]
Public domainPublic domainfalsefalse |
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 12:01, 11 July 2008 | 1,024 × 1,024 (182 KB) | Robx (talk | contribs) | {{Information |Description={{en|1=an affine chart of the blowing-up of the affine plane at the origin}} |Source=Own work by uploader |Author=Robx |Date=20080711 |Permission= |other_versions= }} {{ImageUpload|full}} Category:Surfaces |
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