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% planplnthree.mp
% L. Nobre G. 
% 2006 

input featpost3Dplus2D;

% Only planifications 

%	truefyepsmode;

% filenametemplate "%j%3c.ps";

beginfig(9); % plntoro
%	makearestarefathree;
	numeric are[];
	are0 = arestaref;
	are1 = (sqrt(3)-1)*are0;
	z40 = are0*dir(-30)/2;
	z37 = are0*dir(150)/2;
	z22 = z40 + are0*dir(30);
	z21 = z22 + are0*dir(-30);
	z41 = z40 + are0*dir(90);
	z31 = z37 + are0*dir(90);
	z5  = z37 + are0*dir(-150);
	z4  = z5  + are0*dir(-150);
	z3  = z4  + are0*dir(90);
	z2  = z3  + are0*dir(90);
	z36 = z5  + are0*dir(90);
	z32 = z36 + are0*dir(90);
	z24 = z41 + are0*dir(90);
	z23 = z22 + are0*dir(90);
	z28 = radialcross( z31, are0, z24, are1, true);
	z29 = radialcross( z28, are0, z31, are0, true);
	z26 = radialcross( z28, are0, z24, are0, true);
	z25 = radialcross( z26, are0, z24, are0, false);
	z27 = radialcross( z28, are0, z26, are0, true);
	z35 = radialcross( z2, are0, z32, are1, true);
	z1  = radialcross( z2, are0, z35, are0, true);
	z33 = radialcross( z35, are0, z32, are0, true);
	z30 = radialcross( z33, are0, z32, are0, false);
	z34 = radialcross( z35, are0, z33, are0, true);
	pickup grossa;
	draw z22--z23--z24--z25--z26--z27--z28--z29--z31--z37--z31--z32;
	draw z33--z34--z35--z1--z2--z3;

	path opti, opto, intersec;
	opti = z32--z30;
	opto = z30--z33;
	intersec = z28--z29--z31;
	draw opti cutafter intersec;
	draw opto cutbefore intersec;
	pickup usual;
	draw opti cutbefore intersec dashed pequeno;
	draw opto cutafter intersec dashed pequeno;
	draw z35--z32--z33;
	draw z26--z24--z28;
	draw z32--z2--z37;
	draw z3--z24--z41--z23;
	draw z31--z22;
	draw z5--z41;
	draw z32--z36;
	draw origin--z40;
	pickup fina;
	draw z2--z35--z33;
	draw z26--z28--z31;
	draw z36--z5;
	draw z41--z40;
	picture tile;
	tile = currentpicture;
	draw tile rotated 180;
	pickup grossa;
	draw z3--z4--z5;
	draw z22--z21;
	pickup usual;
	draw z3--z5;
	terminar( 1.35, 90-angle(z1-z4)+5 );
endfig;

beginfig(6); % plnhiper
        pair px[]y[], startpos;
	numeric are[], i, j;
	are1 = arestaref;
	are2 = sqrt(3)*are1;
        startpos = are1*4*left+are2*2*down;
    for i=0 upto 8:
        for j=0 upto 4:
            px[i]y[j] := startpos+are1*i*right+are2*j*up;
        endfor;
    endfor;
        pickup grossa;
	draw px1y1--px3y1--px3y0--px4y1--px5y1--px5y0--px6y1--px7y1--
	     px7y0--px8y1--px7y2--px7y3--px5y3--px5y4--px4y3--px3y3--
	     px3y4--px2y3--px1y3--px1y4--px0y3--px1y2--cycle;
	pickup fina;
	draw px1y2--px7y2;
	for i=1 step 2 until 5:
		pickup usual;
		draw px[i]y2--px[i+1]y3--px[i+2]y2--px[i+1]y1--cycle;
		pickup fina;
		draw px[i]y1--px[i]y3;
		draw px[i+2]y1--px[i+2]y3;
	endfor;
	pickup usual;
	draw px1y1--px8y1;   
	draw px0y3--px7y3;   
	terminar( 1, 90-angle(px3y0-px1y1) );
endfig;

beginfig(2); % plnmercedes
        pair startpos;
	numeric are[], basefactor;
	basefactor = sqrt(2-sqrt(3));
	are2 = arestaref;
	are1 = are2/basefactor;
        startpos = (left+down)*are2/2;
	z0 = startpos + are2*dir(90);
	z1 = z0 + are2*right;
	z2 = z1 + are1*dir(-15);
	z3 = z2 + are1*dir(135);
	z4 = z3 + are2*dir(30);
	z5 = z4 + are2*dir(120);
	z6 = z5 + are2*dir(-150);
	z7 = z6 + are1*dir(105);
	z8 = z7 + are1*dir(-105);
	z9 = z8 + are2*dir(150);
	z10= z9 + are2*dir(-120);
	z11=z10 + are2*dir(-30);
	z12=z11 + are1*dir(-135);
	pickup grossa;
	draw z2--z4--z5--z7--z9--z10--z12;
	pickup fina;
	draw startpos--z0;
	draw z3--z4;
	draw z5--z6;
	draw z8--z9;
	draw z10--z11;
	pickup usual;
	draw z0--z1--z2--z3--z1;
	draw z8--z11--z12--z0--z11;
	draw z3--z6--z7--z8--z6;
	draw currentpicture rotated 180;
	terminar( 2.5*basefactor, 90-angle(z4-z5) );
endfig;

beginfig(5); % plnacent
	pair px[]y[], startpos;
	numeric aresta, i, j;
	aresta = arestaref;
	startpos = aresta*(1.5*dir(180)+dir(-120));
	for i=0 upto 3:
		for j=0 upto 3-i:
			px[i]y[j] := startpos+aresta*(i*dir(0)+j*dir(60));
		endfor;
	endfor;
	pickup grossa;
	draw px2y0--px0y0--px0y3--px1y2;
	pickup fina;
	draw px1y1--px2y1;
	pickup usual;
	draw px2y0--px0y2--px1y2--px1y0--px0y1--px1y1;
	draw currentpicture rotated 180;
	terminar( 2.5, 90-angle(px0y1-px0y3) );
endfig;

beginfig(7); % plndisf
	pair px[]y[], startpos;
	numeric aresta, i, j;
	aresta = arestaref;
	startpos = aresta*(1.5*dir(-150)+dir(150));
	for i=0 upto 3:
		for j=0 upto 2:
			px[i]y[j] := startpos+aresta*(i*dir(-30)+j*up);
		endfor;
	endfor;
	pickup grossa;
	draw px3y1--px3y0--px0y0--px0y2--px2y2;
	pickup fina;
	draw px0y0--px1y1--px2y1--px3y2;
	pickup usual;
	draw px2y1--px3y1--px2y0--px2y2--px1y1--px0y1--px1y2--px1y0--px2y1;
	draw currentpicture rotated 180;
	terminar( 1.8, 90 );
endfig;

beginfig(1); % plnicosa
	pair px[]y[], startpos;
	numeric aresta, i, j;
	aresta = arestaref;
	startpos = aresta*(1.5*left+2*dir(-120));
	for i=0 upto 4:
		for j=0 upto 3:
			px[i]y[j] := startpos+aresta*(i*right+j*dir(120));
		endfor;
	endfor;
	pickup grossa;
	draw px4y1--px3y0--px0y0--px0y2--px1y3--px3y3;
	pickup fina;
	draw px4y3--px3y2--px2y2--px2y3;
	draw px3y0--px3y1;
	draw px2y0--px2y1--px1y1--px0y0;
	draw px0y1--px1y2--px1y3;
	pickup usual;
	draw px4y3--px3y3--px3y1--px2y0;
	draw px4y2--px3y2--px1y0--px1y2;
	draw px3y1--px2y1--px2y2--px1y1--px0y1;
	draw px3y3--px2y2--px1y2;
	draw px2y3--px1y2--px0y2;
	draw currentpicture rotated 180;
	terminar( 1.34, 90-angle(px3y1-px0y0) );
endfig;

beginfig(3); % plnking
	pair startpos;
	numeric are[];
	are1 = arestaref;
	are2 = are1/2;
	are3 = sqrt(3)*are1;
	are4 = 2*are1;
	startpos = origin;
	z0 = startpos;
	z1 = z0 + are2*right;
	z2 = z1 + are4*right;
	z3 = z2 + are1*right;
	z4 = z3 + are1*dir(120);
	z5 = z4 + are1*dir(120);
	z6 = z5 + are1*dir(-120);
	z7 = z6 + are1*dir(120);
	z8 = z7 + are1*dir(120);
	z9 = z8 + are1*dir(-120);
	z10= z9 + are1*dir(-60);
	z11= z10+ are1*left;
	z12= z11+ are3*up;
	pickup grossa;
	draw z3--z4--z5--z7--z8--z12;
	pickup fina;
	draw z12--z10;
	draw z8--z11;
	draw z5--z6;
	draw z1--z2;
	pickup usual;
	draw z0--z1--z11--z12;
	draw z1--z7--z9;
	draw z7--z2--z3;
	draw z2--z4--z11;
	draw currentpicture reflectedabout(z11,z12);
	draw currentpicture reflectedabout(z0,z3);
	terminar( 1.27, 90 );
endfig;

beginfig(0); % plnbola
%	makearestarefathree;
	pair startpos;
	numeric are[];
	picture temporpic;
	are1 = arestaref;
	are2 = arestaref/2;
	are3 = sqrt(3)*are1;
	are4 = 2*sqrt(3)*are1;
	startpos = origin;
	z1 = startpos + are2*dir(30);
	z2 = z1 + are1*dir(-30);
	z9 = z2 + are1*down;
	z3 = z9 + are1*dir(-150);
	z4 = z3 + are1*dir(-150);
	z5 = z4 + are1*dir(150);
	z6 = z5 + are1*dir(30);
	z7 = z6 + are1*dir(30);
	z8 = z7 + are1*dir(150);
	pickup grossa;
	draw z7--z3--z4--z5;
	pickup fina;
	draw z5--z6--z8--z1--z2--z9--z3--z6;
	draw currentpicture rotated 180;
	temporpic = currentpicture;
	draw temporpic shifted (are3*left);
	draw temporpic shifted (are4*left);
	pickup grossa;
	draw (z5+are4*left)--(z1+3*are3*left+are1*up)
	                   --(z1+3*are3*left+are1*(up+dir(30)));
	draw currentpicture rotated 180;
	terminar( 0.97, 90 );
endfig;

beginfig(4); % plnescava
%	makearestarefathree;
	pair px[]y[], startpos;
	numeric aresta, i, j;
	aresta = arestaref;
	startpos = origin;
	for i=0 upto 5:
		for j=0 upto 6:
			px[i]y[j] := startpos+aresta*(i*right+j*dir(60));
		endfor;
	endfor;
	pickup grossa;
	draw px5y2--px5y1--px4y1--px5y0--px3y0--px2y1--px2y2--px1y2--px0y3
	          --px0y6--px1y6--px2y5--px2y6--px4y6--px5y5;
	pickup fina;
	draw px0y6--px1y4--px3y3--px4y4--px3y6;
	draw px0y3--px1y4--px3y3--px4y1--px3y0;
	draw px2y2--px1y3;
	draw px2y2--px2y3;
	draw px2y2--px3y2;
	draw px2y2--px3y1;
	draw px2y5--px1y5;
	draw px2y5--px2y4;
	draw px2y5--px3y4;
	draw px2y5--px3y5;
	draw px5y2--px4y2;
	draw px5y2--px4y3;
	draw px5y2--px5y3;
	draw px5y5--px4y5;
	draw px4y4--((px5y3+px5y4)/2);
	pickup usual;
	draw px4y0--px4y6;
	draw px3y0--px3y6;
	draw px1y2--px1y6;
	draw px2y1--px4y1--px0y5;
	draw px0y3--px5y3--px2y6;
	draw px0y4--px5y4--px3y6;
	draw px0y6--px5y1;
	draw currentpicture rotatedaround((px5y3+px5y4)/2,180);
	desvec((px5y3+px5y4)/2);
	terminar( 0.9, 81 ); %%%%%%%%%% or 60 instead of 81
endfig;

end;