Maxima/Plots

Complex Functions

Visualizing Complex Functions with Conformal Mapping ( themaximalist ) ^[1]

Topologist's sine curve

plot2d (sin(1/x), [x, 0, 1])$

Topologist's comb :

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)) )$

↑ themaximalist visualizing-complex-functions-by-their-images-over-concentric-circles

[1] themaximalist visualizing-complex-functions-by-their-images-over-concentric-circles

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