Download raw (4.4 KB)
%!PS-Adobe-3.0
%
% ********************************************************************************
%
% Figure 2.8 from the book: "The Theory of the Moire Phenomenon, Vol. II"
% by I. Amidror, published by Springer, 2007.
%
% * * * Copyright (c) 2007 EPFL * * *
%
% Author: I. Amidror
%
% Modified: March 21, 2007
%
% ********************************************************************************
%
% Superpositions of three dot screens - third layer only
%
% ********************************************************************************
%
/inch {72 mul} def
/centiinch {0.72 mul} def
%1.0 centiinch setlinewidth
/dim 450 def % dimensions of the screen in centiinches
/dim2 225 def % dim/2
/myrand {rand 2147483647 div 2 mul 1 sub} def % random number between -1...1
1 setlinecap
/Helvetica-Bold findfont
10 scalefont setfont
1.7 inch -1.2 inch translate
/alpha 3.5 def
/theta1 0 def
/theta2 0 def
/theta3 0 def
/rot 0 def % general rotation to prevent printer artifacts
/p1 3 def % period for first (reference) dot screen
/p2 3 def % period for second dot screen
/p3 3 def % period for third dot screen
/p1y 3 def % period for first (reference) dot screen
/p2y 3 def % period for second dot screen
/p3y 3 def % period for third dot screen
/xshift1 3 p1 mul def % x phase shift for first dot screen (e.g. 0.5)
/yshift1 0 p1y mul def % y phase shift for first dot screen (e.g. 0.5)
/xshift2 0 p2 mul def % x phase shift for second dot screen
/yshift2 0 p2y mul def % y phase shift for second dot screen
/xshift3 0 p3 mul def % x phase shift for third dot screen
/yshift3 0 p3y mul def % y phase shift for third dot screen
/rr 1 def % random numbers will be generated in the range -rr...rr
% (in PostScript points!)
% draw first (reference) dot screen:
1.2 centiinch setlinewidth
8 srand % seed for rand
/y dim2 neg def
gsave
2.5 inch 9.4 inch translate
theta1 rot add rotate
gsave
0 p1y dim % draw horizontal lines of dots
{newpath
/x dim2 neg def
/ysave exch dim2 p1y div round p1y mul sub def
0 p1 dim % draw a horizontal line of dots
{/xsave exch dim2 p1 div round p1 mul sub def
xsave x sub
x % g1(x,y)
add xshift1 add
centiinch myrand rr mul sub
ysave y sub
y % g2(x,y)
add yshift1 add
centiinch myrand rr mul sub moveto
0 0 rlineto
/x x p1 add def
} for
% stroke
/y y p1y add def
} for
-2.28 inch 2.22 inch moveto
%(A) show
grestore
gsave
/Times-Roman findfont
12 scalefont setfont
-0.07 inch -1.6 inch moveto
%((a)) show
grestore
grestore
% draw second dot screen:
1.5 centiinch setlinewidth
8 srand % same seed for rand
/y dim2 neg def
gsave
2.5 inch 9.4 inch translate
theta2 rot add rotate
0 p2y dim % draw horizontal lines of dots
{newpath
/x dim2 neg def
/ysave exch dim2 p2y div round p2y mul sub def
0 p2 dim % draw a horizontal line of dots
{/xsave exch dim2 p2 div round p2 mul sub def
xsave x sub
1.067 x mul % g3(x,y)
add xshift2 add
centiinch myrand rr mul sub
ysave y sub
1.067 y mul % g4(x,y)
add yshift2 add
centiinch myrand rr mul sub moveto
0 0 rlineto
/x x p2 add def
} for
% stroke
/y y p2y add def
} for
-2.55 inch 2.35 inch moveto
%(B) show
grestore
% draw third dot screen:
1.5 centiinch setlinewidth
8 srand % same seed for rand
/y dim2 neg def
gsave
2.5 inch 9.4 inch translate
theta3 rot add rotate
0 p3y dim % draw horizontal lines of dots
{newpath
/x dim2 neg def
/ysave exch dim2 p3y div round p3y mul sub def
0 p2 dim % draw a horizontal line of dots
{/xsave exch dim2 p3 div round p3 mul sub def
xsave x sub
alpha cos x mul alpha sin y mul sub % g5(x,y)
add xshift3 add
centiinch myrand rr mul sub
ysave y sub
alpha sin x mul alpha cos y mul add % g6(x,y)
add yshift3 add
centiinch myrand rr mul sub moveto
0 0 rlineto
/x x p3 add def
} for
stroke
/y y p3y add def
} for
-2.54 inch 2.0 inch moveto
(C) show
grestore
gsave
0.25 inch 3.5 inch translate
0 inch 0 inch moveto
/Times-Bold findfont
12 scalefont setfont
(Figure 2.8) show
/Times-Roman findfont
12 scalefont setfont
( from the book: ) show
/Times-Italic findfont
12 scalefont setfont
(The Theory of the Moire) show
-0.06 inch 0 inch rmoveto
(\302 Phenomenon) show
-0.15 inch -0.25 inch moveto
(Vol. II: Aperiodic Layers,) show
/Times-Roman findfont
12 scalefont setfont
( by I. Amidror, published by Springer, 2007.) show
1.6 inch -0.65 inch moveto
((Third layer only.)) show
grestore
showpage