1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
|
% planpau.mp
% L. Nobre G.
% 1999
% Planification wise auxiliary figures
input featpost3Dplus2D;
verbatimtex \documentclass{article} \usepackage{beton} \usepackage{concmath} \usepackage{ccfonts} \begin{document} etex
EPSmode := true;
beginfig(1);
numeric xposit, xendit, xbegit, salto, i;
picture tracos[];
picture legendas[];
pen caneta[];
xposit = 3in;
xendit = 4.5in;
xbegit = 1.5in;
salto = 0.3in;
legendas0 = btex Normal etex;
legendas1 = btex Recorte etex;
legendas2 = btex C\^{o}ncava etex;
legendas3 = btex Opcional etex;
legendas4 = btex Dist\^{a}ncia etex;
caneta0 = usual;
caneta1 = grossa;
caneta2 = fina;
caneta3 = usual;
caneta4 = fina;
tracos0 = nada;
tracos1 = nada;
tracos2 = nada;
tracos3 = pequeno;
tracos4 = grande;
for i = 0 upto 4:
z[i] = ( xposit, 6in - i*salto );
label.top( legendas[i], z[i] );
draw ( xbegit, ypart z[i] )--( xendit, ypart z[i] )
withpen caneta[i] dashed tracos[i];
endfor;
endfig;
beginfig(2);
numeric salto, ix, iy, counter, aresta[];
path faces[];
picture descrit[];
aresta0 = 0.57*arestaref;
salto = 1.4*aresta0;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z0 = 0.5*aresta0*right;
z1 = aresta0*(0,sqrt(3)/2);
z2 = 0.5*aresta0*left;
z3 = centerof( 0,1,2 );
faces0 = z0--z1--z2--cycle;
draw faces0 withpen usual;
label(btex (a) etex, z3);
descrit0 = currentpicture;
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z4 = aresta0*right;
z5 = aresta0*up;
z7 = origin;
z6 = centerof( 7,4,5 );
faces1 = z7--z4--z5--cycle;
draw faces1 withpen usual;
label(btex (b) etex, z6);
label.urt(btex $\sqrt{2}$ etex, (z4+z5)/2 );
descrit1 = currentpicture shifted (0.5*aresta0*left);
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z8 = sqrt(3)*aresta0*right;
z9 = aresta0*up;
z10= centerof( 7,8,9 );
faces2 = z7--z8--z9--cycle;
draw faces2 withpen usual;
label.lft(btex (c) etex, z10);
label.top(btex $\sqrt{3}$ etex, (z7+z8)/2 );
label.urt(btex $2$ etex, (z9+z8)/2 );
descrit2 = currentpicture shifted (0.5*aresta0*left);
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z11= aresta0*(0.8*sqrt(3)*right+0.8*up);
z12= aresta0*(0.3*sqrt(3),0.3);
z13= aresta0*(0.2*sqrt(3)*left+0.8*up);
z14= centerof( 11,12,13 );
faces3 = z11--z12--z13--cycle;
draw faces3 withpen usual;
label(btex (d) etex, z14);
label.top(btex $\sqrt{3}$ etex, (z11+z13)/2 );
descrit3 = currentpicture;
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z15= 0.5*aresta0*right;
z16= z15+aresta0*up;
z17= z16+aresta0*left;
z18= z17+aresta0*down;
z19= centerof( 15,16,17,18 );
faces4 = z15--z16--z17--z18--cycle;
draw faces4 withpen usual;
label(btex (e) etex, z19);
descrit4 = currentpicture;
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z20= 0.5*aresta0*right;
z21= z20+aresta0*dir(60);
z22= z21+aresta0*left;
z23= z22+aresta0*dir(-120);
z24= centerof( 20,22,23 );
faces5 = z20--z21--z22--z23--cycle;
draw faces5 withpen usual;
draw z20--z22 withpen fina dashed grande;
label(btex (f) etex, z24);
descrit5 = currentpicture;
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z25= 0.5*aresta0*right;
z26= z25+aresta0*left;
z27= radialcross( z26, aresta0, z25, 2*aresta0*sqrt(3)/3, true );
z28= z27+aresta0*right;
z29= centerof( 25,26,27 );
faces6 = z25--z26--z27--z28--cycle;
draw faces6 withpen usual;
draw z25--z27 withpen fina dashed grande;
label(btex (g) etex, z29);
label.urt(btex $\frac{2\sqrt{3}}{3}$ etex, (z25+z27)/2 );
descrit6 = currentpicture;
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z30= 0.5*aresta0*right;
z31= z30+aresta0*left;
z32= radialcross( z30, aresta0*sqrt(2),
z31, aresta0*sqrt(3), true );
z33= z32+aresta0*right;
z34= centerof( 30,31,32 );
faces7 = z30--z31--z32--z33--cycle;
draw faces7 withpen usual;
draw z30--z32 withpen fina dashed grande;
label(btex (h) etex, z34);
label.urt(btex $\sqrt{2}$ etex, (z30+z32)/2 );
label.ulft(btex $\sqrt{3}$ etex, (z31+z32)/2 );
label.lrt(btex $\sqrt{3}$ etex, (z30+z33)/2 );
descrit7 = currentpicture;
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z35= 1.5*aresta0*right;
z40= 0.5*aresta0*right;
z36= z35+aresta0*dir(120);
z37= z36+aresta0*left;
z38= z37+aresta0*dir(-120);
z39= centerof( 40,37,38 );
faces8 = z35--z36--z37--z38--cycle;
draw faces8 withpen usual;
draw z37--z40--z36 withpen fina dashed grande;
label(btex (l) etex, z39);
z61= z38+1.2*aresta0*up;
z62= z61+2*aresta0*right;
z63= z61+aresta0*right+sqrt(2)*aresta0*up;
z64= centerof( 61,62,63 );
faces13 = z61--z62--z63--cycle;
draw faces13 withpen usual;
label(btex (i) etex, z64);
label.top(btex 2 etex, (z61+z62)/2 );
label.urt(btex $\sqrt{3}$ etex, (z63+z62)/2 );
label.ulft(btex $\sqrt{3}$ etex, (z63+z61)/2 );
descrit8 = currentpicture shifted (aresta0*(0,-1.666));
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z47= aresta0*right;
z48= origin;
z49= radialcross( z48, aresta0, z47, aresta0*(sqrt(3)-1), true );
z50= centerof( 47,48,49 );
faces9 = z47--z48--z49--cycle;
draw faces9 withpen usual;
label(btex (k) etex, z50);
% label.top(btex $\sqrt{3}-1$ etex rotated angle(z47-z49), z47 );
label.rt(btex $\sqrt{3}-1$ etex, (z47+z49)/2 );
z57 = (x48,y49);
z58 = z57 + aresta0*left;
z59= radialcross( z57, aresta0, z58, aresta0*sqrt(2-sqrt(3)), false );
z60= centerof( 57,58,59 );
faces12 = z57--z58--z59--cycle;
draw faces12 withpen usual;
label(btex (j) etex, z60);
% label.lft(
% btex $\sqrt{2-\sqrt{3}}$ etex rotated angle(z59-z58),
% (z59+z58)/2 );
label.llft(btex $\sqrt{2-\sqrt{3}}$ etex, (z59+z58)/2 );
descrit9 = currentpicture shifted (aresta0*(2.5,0.4));
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z51= -aresta0*(sqrt(2)/2,0.866);
z52= z51+aresta0*sqrt(2)*right;
z53= z52+aresta0*up;
z54= z53+aresta0*(-sqrt(2)/2,0.5);
z55= z54+aresta0*(-sqrt(2)/2,-0.5);
z56= centerof( 51,52,53,54,55 );
faces10 = z51--z52--z53--z54--z55--cycle;
draw faces10 withpen usual;
label(btex (m) etex, z56);
label.top(btex $\sqrt{2}$ etex, (z51+z52)/2 );
label.urt(btex $\sqrt{3}/2$ etex, (z53+z54)/2 );
label.ulft(btex $\sqrt{3}/2$ etex, (z55+z54)/2 );
descrit10 = currentpicture shifted (aresta0*(0.25*left+0.8*down));
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
z41= 1.5*aresta0*right;
z42= z41+aresta0*dir(120);
z43= z42+aresta0*left;
z44= z43+aresta0*dir(-120);
z45= z44+aresta0*dir(-60);
z46= z45+aresta0*right;
faces11 = z41--z42--z43--z44--z45--z46--cycle;
draw faces11 withpen usual;
label(btex (n) etex, z40);
descrit11 = currentpicture shifted (aresta0*0.8*down);
currentpicture := nullpicture;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
counter := 0;
for iy = 0 upto 2:
for ix = 0 upto 3:
draw descrit[counter] shifted ( ix*salto, - iy*salto );
counter := incr(counter);
endfor;
endfor;
endfig;
verbatimtex \end{document} etex
end;
|
