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/* -*-ePiX-*- */
#include "epix.h"
using namespace ePiX;
// draw a regular n-gon with labeled vertices
void polygon(int n, double th_0 = 0)
{
const double d_th(full_turn()/n);
path poly;
for (int i=0; i<n; ++i)
{
// i-th vertex
double th(th_0 + i*d_th);
const P vtx(cis(th));
poly.pt(vtx);
// set label angle
label_angle(th + 0.25*full_turn());
// draw label
std::stringstream buf;
buf << "$" << i << "$";
dot(vtx, -8*vtx, buf.str());
}
poly.close().draw();
}
int main()
{
picture(P(0,0), P(2,3), "4 x 6in");
begin();
border();
// draw one hexagon in a screen
screen scr(P(-1,-1), P(1,1));
activate(scr);
polygon(6);
// marks to distinguish a vertex and orientation
spot(P(1,0));
black(0.3);
line(P(-0.75,0), P(0.75,0));
black();
arc_arrow(P(0,0), 0.75, 0, M_PI/3);
arc_arrow(P(0,0), 0.75, 2*M_PI/3, M_PI);
arc_arrow(P(0,0), 0.75, 4*M_PI/3, 5*M_PI/3);
scr.scale(0.9);
// use layout and affine maps to draw symmetries
inset(P(0,2), P(1,3));
scr.rotate(2*M_PI/3);
inset(P(0,1), P(1,2));
scr.rotate(2*M_PI/3);
inset(P(0,0), P(1,1));
scr.rotate(2*M_PI/3).reflect(0);
inset(P(1,2), P(2,3));
scr.rotate(2*M_PI/3);
inset(P(1,1), P(2,2));
scr.rotate(2*M_PI/3);
inset(P(1,0), P(2,1));
deactivate(scr);
// label insets
font_size("LARGE");
label_angle(0);
masklabel(P(0.5, 2.5), "$e$");
masklabel(P(0.5, 1.5), "$\\alpha$");
masklabel(P(0.5, 0.5), "$\\alpha^2$");
masklabel(P(1.5, 2.5), "$\\beta$");
masklabel(P(1.5, 1.5), "$\\beta\\alpha^2$");
masklabel(P(1.5, 0.5), "$\\beta\\alpha$");
pst_format();
end();
}
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