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File:Comb.svg

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Original file (SVG file, nominally 640 × 480 pixels, file size: 30 KB)
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Summary

Description
English: Topologist's comb
Polski: Grzebień topologiczny
Date
Source Own work
Author Adam majewski
SVG development
InfoField
 The SVG code is valid.
 This chart was created with gnuplot.
 This chart uses translateable embedded text.
Source code
InfoField
Gnuplot code
load(draw); /* by Mario Rodríguez Riotorto  http://riotorto.users.sourceforge.net/gnuplot/index.html  */

draw2d(
 title     = "Topologist\\47s comb", /* Syntax for postscript enhanced option; character 47 = '  */
 xrange        = [0.0,1.2],
 yrange        = [0,1.2],
 file_name = "comb2",
 terminal      = svg,
 points_joined = impulses, /* vertical segments are drawn from points to the x-axis  */
 color         = "blue",
 points(makelist(1/x,x,1,1000),makelist(1,y,1,1000)) )$
Data
Here is code using different technique ( points) and definition ( not 1/n but 1/(2^n) ): 
/* 
   Ergodic Theory and Dynamical Systems (1998), 18 : pp 739-758
    1998 Cambridge University Press
    Describing quadratic Cremer point polynomials by parabolic perturbations
   DAN ERIK KRARUP SØRENSEN 

  Maxima CAS code 

*/


kill(all);
remvalue(all);

/* ------- functions --------------- */

GivePoints(i):= points([[1/(2^i) ,0],[1/(2^i),1]])$

compile(all);

/* ----- constans and variables     --- */

iMax:100;
p:[];   /* list with points object */
pp:[]; /* list of points objects  */

/* --------- main -------------*/

pp:[points([[0,0],[1,0]]), points([[0,0],[0,1]] )]$

for i:0 thru iMax step 1 do
(
 p:GivePoints(i),
 pp:cons(p,pp)
)$

/* ---------- draw image  ----------- */
load(draw);

draw2d(
 title     = "Topologist\\47s comb", /* Syntax for postscript enhanced option */
 xrange        = [-0.2,1.2],
 yrange        = [-0.2,1.2],
 file_name = "comb_p",
 terminal      = screen,
 point_type = filled_circle,
 point_size = 0.5,
 points_joined = true, /* draws segments between points  */
 color         = "blue",
 pp )$

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 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.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.

Captions

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depicts

inception

4 August 2012

media type

image/svg+xml

checksum

8cc0de179c0aa9f9992c328de04639e9df8960d8

determination method or standard: SHA-1

data size

30,949 byte

height

480 pixel

width

640 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current19:19, 4 August 2012Thumbnail for version as of 19:19, 4 August 2012640 × 480 (30 KB)wikimediacommons>Soul windsurferValid svg code after manual changes.
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