File:Comb.svg

Summary

Description
English: Topologist's comb
Polski: Grzebień topologiczny
Date
Source Own work
Author Adam majewski
SVG development
InfoField
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
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Category:CC-BY-SA-3.0#Comb.svg
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.
Category:License migration redundant#Comb.svgCategory:GFDL#Comb.svg
You may select the license of your choice.
Category:Self-published work Category:Connectedness Category:Topology diagrams Category:Images with Maxima CAS source code Category:Gnuplot graphics
Category:CC-BY-SA-3.0 Category:Connectedness Category:GFDL Category:Gnuplot graphics Category:Images with Maxima CAS source code Category:License migration redundant Category:Self-published work Category:Topology diagrams Category:Translation possible - SVG Category:Valid SVG created with Gnuplot code:Charts