%% %% A DANTE-Edition example %% %% Example 36-00-82 on page 802. %% %% Copyright (C) 2011 Herbert Voss %% %% It may be distributed and/or modified under the conditions %% of the LaTeX Project Public License, either version 1.3 %% of this license or (at your option) any later version. %% %% See http://www.latex-project.org/lppl.txt for details. %% %% %% ==== % Show page(s) 1 %% \documentclass[]{article} \pagestyle{empty} \setlength\textwidth{201.70511pt} \setlength\parindent{0pt} \usepackage{pstricks,pst-plot,graphicx,amsmath} \SpecialCoor \begin{document} \resizebox{\linewidth}{!}{% \psset{xunit=10mm,yunit=10mm,curvature=1 .1 .75,plotpoints=200} \begin{pspicture}(-2,-2.6)(2.5,2.4) \psaxes[labels=none,arrowlength=1.75,ticks=none,linewidth=0.17mm]% {->}(0,0)(-2,-2)(2.5,2.4) \rput[Br](2.5,-.35){$\text{Re}(z)$} \rput[tl](.15,2.4){$\text{Im}(z)$} \rput[Bl](.15,-.35){$0$} % \uput{1mm}[90](1.4,0.1){$z_0$} \uput{1mm}[45](-.6,1.2){$z_1$} \uput{1mm}[315](-.6,-1.2){$z_2$} \uput{1mm}[45](0.3,0.3){$120^\circ$} \uput{1mm}[225](-0.3,-0.3){$120^\circ$} \uput{1mm}[315](0.3,-0.3){$120^\circ$} % \pscircle[linewidth=.17mm](0,0){1.8} \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{0}{120} \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{120}{240} \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{240}{360} \psline[linewidth=.5mm,linecolor=blue]{->}(1.8;120) \psline[linewidth=.5mm,linecolor=blue]{->}(1.8;240) \psline[linewidth=.5mm,linecolor=blue]{->}(1.8;0) % \rput[B](-1.8,-.35){\psframebox*{$-1$}} \rput[B](1.8,.15){\psframebox*{$1$}} \rput[l](.15,1.8){\psframebox*{$1$}} \rput[l](.15,-1.8){\psframebox*{$-1$}} % \uput{0mm}[90](0,-2.6){$z^3=1$} \end{pspicture}~ \begin{pspicture}(-2,-2.6)(2.5,2.4) \psaxes[labels=none,arrowlength=1.75,ticks=none,linewidth=0.17mm]% {->}(0,0)(-2,-2)(2.5,2.4) \rput[Br](2.5,-.35){$\text{Re}(z)$} \rput[tl](.15,2.4){$\text{Im}(z)$} % \uput{1mm}[90](1.4,.1){$z_0$} \uput{1mm}[90](-1.4,.1){$z_2$} \uput{1mm}[0](.1,1.5){$z_1$} \uput{1mm}[0](.1,-1.5){$z_3$} \uput{1mm}[45](0.3,0.3){$90^\circ$} \uput{1mm}[135](-0.3,0.3){$90^\circ$} \uput{1mm}[225](-0.3,-0.3){$90^\circ$} \uput{1mm}[315](0.3,-0.3){$90^\circ$} % \pscircle[linewidth=.17mm](0,0){1.8} % \rput[B](-1.8,-.35){\psframebox*{$-1$}} \rput[B](1.8,.15){\psframebox*{$1$}} \rput[l](.15,1.8){\psframebox*{$1$}} \rput[l](.15,-1.8){\psframebox*{$-1$}} % \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{0}{90} \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{90}{180} \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{180}{270} \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{270}{360} % \psline[linewidth=.5mm,linecolor=blue]{<->}(-1.8,0)(1.8,0) \psline[linewidth=.5mm,linecolor=blue]{<->}(0,-1.8)(0,1.8) % \uput{0mm}[90](0,-2.6){$z^4=1$} \end{pspicture}~ \begin{pspicture}(-2,-2.6)(2.5,2.4) \psaxes[labels=none,arrowlength=1.75,ticks=none,linewidth=0.17mm]% {->}(0,0)(-2,-2)(2.5,2.4) \rput[Br](2.5,-.35){$\text{Re}(z)$} \rput[tl](.15,2.4){$\text{Im}(z)$} % \uput{1mm}[90](1.4,0.1){$z_0$} \uput{1mm}[0](.5,1.2){$z_1$} \uput{1mm}[0](.5,-1.2){$z_4$} \uput{1mm}[45](-1.2,1){$z_2$} \uput{1mm}[315](-1.2,-1){$z_3$} \uput{1mm}[36](0.5,0.2){$72^\circ$} \uput{1mm}[110](-0.2,0.5){$72^\circ$} \uput{1mm}[200](-0.5,-0.2){$72^\circ$} \uput{1mm}[250](-0.2,-0.5){$72^\circ$} \uput{1mm}[324](0.5,-0.2){$72^\circ$} % \pscircle[linewidth=.17mm](0,0){1.8} % \rput[B](-1.8,-.35){\psframebox*{$-1$}} \rput[B](1.8,.15){\psframebox*{$1$}} \rput[l](.05,1.8){\psframebox*{$1$}} \rput[l](.05,-1.95){$-1$} % \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{0}{72} \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{72}{144} \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{144}{216} \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{216}{288} \psarc[linewidth=.17mm,linecolor=red]{->}{.5}{288}{360} \psline[linewidth=.5mm,linecolor=blue]{->}(1.8;72) \psline[linewidth=.5mm,linecolor=blue]{->}(1.8;144) \psline[linewidth=.5mm,linecolor=blue]{->}(1.8;216) \psline[linewidth=.5mm,linecolor=blue]{->}(1.8;288) \psline[linewidth=.5mm,linecolor=blue]{->}(1.8;0) \uput{0mm}[90](0,-2.6){$z^5=1$} \end{pspicture} }% \end{document}