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
|
#
# $Id: surface2.dem,v 1.4 1999/10/17 19:17:01 lhecking Exp $
#
set parametric
set isosamples 50,10
set hidden
set key below
set title "Parametric Sphere"
set urange [-pi/2:pi/2]
set vrange [0:2*pi]
set ztics nomirror -1.0,0.25,1.0
set view 45,50
splot cos(u)*cos(v),cos(u)*sin(v),sin(u)
pause -1 "Hit return to continue (1)"
set view ,,,0.7
set title "Parametric Sphere, crunched z axis"
replot
pause -1 "Hit return to continue (2)"
set view ,,,1.4
set title "Parametric Sphere, enlarged z axis"
replot
pause -1 "Hit return to continue (3)"
set view ,,,1.0
set title "Parametric Torus"
set urange [0:2*pi]
set vrange [0:2*pi]
set zrange [-1:1] # imitate old 'set view' hack
splot (1-0.2*cos(v))*cos(u),(1-0.2*cos(v))*sin(u),0.2*sin(v)
pause -1 "Hit return to continue (4)"
set title "Parametric Hexagon"
set urange [-1.3:1.3]
set vrange [0:2*pi]
set autoscale z
set ticslevel 0. # reserve more space z direction.
set view ,,0.7,1.4 # crunch xyz, and re-extend z back to full size
set ztics autofreq
splot cos(v)**3*cos(u)**3,sin(v)**3*cos(u)**3,sin(u)**3
pause -1 "Hit return to continue (5)"
set view ,,1.,1.
set title "Parametric Helix"
set isosamples 100,20
set urange [0:10*pi]
set vrange [0:2*pi]
set autoscale z
splot (1-0.1*cos(v))*cos(u),(1-0.1*cos(v))*sin(u),0.1*(sin(v)+u/1.7-10)
pause -1 "Hit return to continue (6)"
set title "Parametric Shell (clipped to limited z range)"
set isosamples 40,20
set view 50,30,1.0
set urange [0:2*pi]
set vrange [0:2*pi]
set zrange [-3:1.5]
splot cos(u)*u*(1+cos(v)/2),sin(v)*u/2,sin(u)*u*(1+cos(v)/2)
pause -1 "Hit return to continue (7)"
set autoscale z
set title "Parametric Shell (automatic z range)"
replot
pause -1 "Hit return to continue (8)"
set title "Interlocking Tori"
set urange [-pi:pi]
set vrange [-pi:pi]
set isosamples 50,20
splot cos(u)+.5*cos(u)*cos(v),sin(u)+.5*sin(u)*cos(v),.5*sin(v) with lines, \
1+cos(u)+.5*cos(u)*cos(v),.5*sin(v),sin(u)+.5*sin(u)*cos(v) with lines
pause -1 "Hit return to continue (9)"
reset
|
