-
Notifications
You must be signed in to change notification settings - Fork 1
/
Copy path3d24.mp
131 lines (100 loc) · 3.17 KB
/
3d24.mp
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
% tex/conc/mp/3d24.mp 2007-2-8 Alan Kennington.
% $Id: tex/conc/mp/3d24.mp ef01587d03 2011-05-05 11:43:30Z Alan U. Kennington $
% Dimensions of King Khufu's burial chamber.
input 3dmax.mp
input mapmax.mp
verbatimtex
\input akmath
etex
%%%%%%%%%%%%%%%%%%%%%%%%%
% figure 1 %
%%%%%%%%%%%%%%%%%%%%%%%%%
beginfig(1);
numeric A[][]; % The current 4x3 transformation matrix.
numeric p[][], q[][]; % Lists of 3-vectors.
pair w[]; % Coordinate pairs on the drawing canvas.
numeric s; % The screen scale factor.
path pat[];
color col[];
Z_set(p0)(90, -100, 20); % Position of viewer.
Z_set(q0)(0, 0, 0); % Centre of picture.
A_set_pq(A)(p0)(q0);
% A_print(A);
s := 2000;
unit := 10;
pickup pencircle scaled 0.5;
% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Z_set(p10)(0cm, 0cm, 0cm); % Origin.
Z_set(p11)(0.9unit, 0cm, 0cm); % X axis.
Z_set(p12)(0cm, 0.9unit, 0cm); % Y axis.
Z_set(p13)(0cm, 0cm, 0.9unit); % Z axis.
A_calc_w(A)(w11)(p11)(s);
A_calc_w(A)(w12)(p12)(s);
A_calc_w(A)(w13)(p13)(s);
A_calc_w(A)(w10)(p10)(s);
% showvariable w;
drawarrow w10--w11;
drawarrow w10--w12;
drawarrow w10--w13;
label.rt(btex $E$ etex, w11+(0,-0.5pt));
label.rt(btex $N$ etex, w12+(0,1.5pt));
label.lft(btex $z$ etex, w13+(-2pt,1pt));
% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
va := 0.17unit; % Origin of local variation.
vb := 0.20unit;
vc := 0.29unit;
% Dimensions of the tomb in cubits. (One cubit = 0.523 metres.)
waC := 20;
wbC := 10;
wcC := sqrt(15*15-10*10);
sC := 22; % Scale factor.
wa := (waC/sC)*unit; % Dimensions in scaled space.
wb := (wbC/sC)*unit;
wc := (wcC/sC)*unit;
Z_set(p20)(va, vb, vc); % Origin of local variation.
Z_set(p21)(va+wa, vb, vc); % X axis.
Z_set(p22)(va, vb+wb, vc); % Y axis.
Z_set(p23)(va, vb, vc+wc); % Z axis.
Z_set(p24)(va+wa, vb+wb, vc); % X-Y.
Z_set(p25)(va, vb+wb, vc+wc); % Y-Z.
Z_set(p26)(va+wa, vb, vc+wc); % X-Z.
Z_set(p27)(va+wa, vb+wb, vc+wc); % X-Y-Z.
A_calc_w(A)(w20)(p20)(s);
A_calc_w(A)(w21)(p21)(s);
A_calc_w(A)(w22)(p22)(s);
A_calc_w(A)(w23)(p23)(s);
A_calc_w(A)(w24)(p24)(s);
A_calc_w(A)(w25)(p25)(s);
A_calc_w(A)(w26)(p26)(s);
A_calc_w(A)(w27)(p27)(s);
% The integration planes.
pat1 := w20--w22--w25--w23--cycle;
pat2 := w21--w24--w27--w26--cycle;
col1 := 0.9white;
fill pat1 withcolor col1;
fill pat2 withcolor col1;
pickup pencircle scaled 1.25;
draw w20--w21;
draw w20--w27;
draw w21--w27;
pickup pencircle scaled 0.5;
draw w20--w22;
draw w20--w23;
draw w21--w24;
draw w21--w26;
draw w22--w24;
draw w22--w25;
draw w23--w25;
draw w23--w26;
draw w24--w27;
draw w25--w27;
draw w26--w27;
% Label the dimensions.
S_tiltlabel_top(btex 20\thinspace cubits etex, 0.5[w25,w27], angle(w27-w25));
S_tiltlabel_top(btex 10\thinspace cubits etex, 0.5[w23,w25], angle(w25-w23));
S_tiltlabel_top(btex 25\thinspace cubits etex, 0.5[w20,w27], angle(w27-w20));
S_tiltlabel_top(btex 15\thinspace cubits etex, 0.5[w21,w27], angle(w27-w21));
S_tiltlabel_bot(btex 20\thinspace cubits etex, 0.5[w20,w21], angle(w21-w20));
S_tiltlabel_top(btex 11.18\thinspace cubits etex, 0.5[w20,w23], angle(w23-w20));
endfig;
end