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% spltwiben.mp
% L. Nobre G.
% 2002
input featpost3Dplus2D;
verbatimtex
\documentclass{article}
\usepackage{beton}
\usepackage{concmath}
\usepackage{ccfonts}
\begin{document}
etex
def zsurface( expr xc, yc ) =
((3*xc-5)*(3*xc+5)/(3*sqrt(3)*yc-5))
enddef;
f := (4,-5,3);
Spread := 120;
beginfig(1);
numeric i, j, nx, ny, lowx, higx, lowy, higy;
numeric posx, posy, posz, facz;
color gridx[], pos, reforig, endbeta, endpsip;
color endfiel, kdiv, krot, kben, akdiv, akrot, akben;
path facex;
facz = 7;
nx = 15;
ny = 50;
lowx = 0;
higx = 0.5*sqrt(3);
reforig = (0,-0.5,0);
endpsip = (0.3,-0.5,0);
endbeta = (0,-0.2,0);
endfiel = (0,-0.5,9/facz);
kdiv = (0,-0.5,8/facz);
krot = (0,-0.5,2/facz);
kben = (0,-0.5,5/facz);
akdiv = (higx,0.5,8/facz);
akrot = (higx,-0.5,2/facz);
akben = (0,0,5/facz);
draw rp((0,0,0))--rp((0,0,5/facz));
for i=1 upto nx:
posx := lowx + i*( higx - lowx )/nx;
lowy := -sqrt(3)*posx/3;
higy := -lowy;
for j=0 upto ny:
posy := lowy + j*( higy - lowy )/ny;
posz := zsurface( posx, posy )/facz;
gridx[j] := ( posx, posy, posz );
% show gridx[j];
endfor;
pos := ( posx, lowy, 0 );
facex := rp( pos )--rp( gridx0 );
for j=1 upto ny:
facex := facex--rp( gridx[j] );
endfor;
facex:=facex--rp((posx,higy,0))--cycle;
unfill facex;
draw facex;
endfor;
drawarrow rp(reforig)--rp(endpsip);
drawarrow rp(reforig)--rp(endbeta);
drawarrow rp(reforig)--rp(endfiel);
label.ulft(btex $\mathcal{X}$ etex, rp(endbeta) );
label.llft(btex $\mathcal{Z}$ etex, rp(endpsip) );
label.llft(btex $\mathcal{H}$ etex, rp(endfiel) );
dotlabel("",rp(reforig+(0,0,Z(gridx[ny]))));
dotlabel("",rp(reforig+(0,0,Z(gridx0))));
dotlabel("",rp(kben));
dotlabel.rt(btex $\mathcal{K}_1$ etex,rp(gridx[ny]));
dotlabel.lrt(btex $\mathcal{K}_2$ etex,rp(gridx0));
dotlabel.lft(btex $\mathcal{K}_3$ etex,rp(akben));
endfig;
verbatimtex
\end{document}
etex
end;
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