Re: displaying images in the complex plane

*To*: mathgroup at smc.vnet.net*Subject*: [mg45931] Re: displaying images in the complex plane*From*: bobhanlon at aol.com (Bob Hanlon)*Date*: Fri, 30 Jan 2004 04:15:57 -0500 (EST)*References*: <bvans2$9ot$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Complex mapping is available in a standard add-on package Needs["Graphics`ComplexMap`"]; CartesianMap[Tan, {-7Pi/16, 7Pi/16, Pi/16}, {-7Pi/16, 7Pi/16, Pi/16}, ImageSize->400]; Bob Hanlon In article <bvans2$9ot$1 at smc.vnet.net>, "Florian Jaccard" <florian.jaccard at eiaj.ch> wrote: << I have been explained the following way : You grid the Gaussian space and look to what the points are transformed : Clear[des, f]; des[f_, {xmin_, xmax_}, {ymin_, ymax_}] := Module[{gr, x, y, lv, lh}, gr = Table[{Re[f[x + I*y]], Im[f[x + I*y]]}, {x, xmin, xmax, (xmax - xmin)/20}, {y, ymin, ymax, (ymax - ymin)/20}]; lv = Line /@ gr; lh = Line /@ Transpose[gr]; Show[Graphics[{lv, lh}, AspectRatio -> Automatic]]; ] You can try it on your example : des[Tan[#1] & , {-(Pi/2) + 0.1, Pi/2 - 0.1}, {-(Pi/2) + 0.1, Pi/2 - 0.1}] Meilleures salutations Florian Jaccard University of Applied Sciences EIAJ Le Locle Switzerland -----Message d'origine----- De : Nathan Moore [mailto:nmoore at physics.umn.edu] Envoyé : mer., 28. janvier 2004 11:19 À : mathgroup at smc.vnet.net Objet : displaying images in the complex plane Does any body have a favorite way of showing images in the complex plane? Suppose I want to represent the function Tan[z], where z = a + bi, how would you display that image if you were trying to explain the complex plane to your students?