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% ********************************************************************************
%
% Figure 3.23 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
%
% ********************************************************************************
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% ********************************************************************************
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609 1037 :M
f29 sf
(\(a\))S
1554 1037 :M
(\(b\))S
1 G
260 201 744 744 rF
0 G
2.078 lw
260 201 744 744 rS
267 227 :M
f42 sf
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
267 251 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
267 275 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
267 298 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
267 322 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
267 345 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
267 369 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
267 393 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
267 416 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
267 440 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
267 463 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
267 487 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
267 511 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
267 534 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
267 558 :M
.011 .001(TO A UNIFIED APPROACH WHICH EXPLAINS BOTH THE BEHA )J
267 582 :M
.011 .001(VIOUR OF GLASS PATTERNS IN THE APERIODIC CASE, AND T)J
267 605 :M
.01 .001(HE WELL KNOWN BEHAVIOUR OF THE MOIRE PATTERNS IN P)J
267 629 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
267 652 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
267 676 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
267 700 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
267 723 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
267 747 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
267 771 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
267 794 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
267 818 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
267 841 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
267 865 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
267 889 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
267 912 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
267 936 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
1 G
1205 201 744 744 rF
0 G
1205 201 744 744 rS
1212 227 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
1212 251 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
1212 275 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
1212 298 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
1212 322 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
1212 345 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
1212 369 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
1212 393 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
1212 416 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
1212 440 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
1212 463 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
1212 487 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
1212 511 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
1212 534 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
1212 558 :M
.011 .001(TO A UNIFIED APPROACH WHICH EXPLAINS BOTH THE BEHA )J
1212 582 :M
.011 .001(VIOUR OF GLASS PATTERNS IN THE APERIODIC CASE, AND T)J
1212 605 :M
.01 .001(HE WELL KNOWN BEHAVIOUR OF THE MOIRE PATTERNS IN P)J
1212 629 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
1212 652 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
1212 676 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
1212 700 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
1212 723 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
1212 747 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
1212 771 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
1212 794 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
1212 818 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
1212 841 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
1212 865 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
1212 889 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
1212 912 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
1212 936 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
gS
1578 573 :T
358 rotate
-1578 -573 :T
1206 201 744 744 rS
gR
gS
1566.577 219.388 :T
358 rotate
-1566.577 -219.388 :T
1201 228 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
gR
gS
1567.658 242.987 :T
358 rotate
-1567.658 -242.987 :T
1201 251 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
gR
gS
1567.482 266.63 :T
358 rotate
-1567.482 -266.63 :T
1202 275 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
gR
gS
1571.119 290.139 :T
358 rotate
-1571.119 -290.139 :T
1203 298 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
gR
gS
1569.082 313.847 :T
358 rotate
-1569.082 -313.847 :T
1204 322 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
gR
gS
1568.937 337.488 :T
358 rotate
-1568.937 -337.488 :T
1205 346 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
gR
gS
1573.22 360.975 :T
358 rotate
-1573.22 -360.975 :T
1206 369 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
gR
gS
1573.697 384.595 :T
358 rotate
-1573.697 -384.595 :T
1206 393 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
gR
gS
1577.943 408.083 :T
358 rotate
-1577.943 -408.083 :T
1207 416 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
gR
gS
1574.998 431.822 :T
358 rotate
-1574.998 -431.822 :T
1208 440 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
gR
gS
1575.841 455.429 :T
358 rotate
-1575.841 -455.429 :T
1209 464 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
gR
gS
1575.263 479.086 :T
358 rotate
-1575.263 -479.086 :T
1210 487 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
gR
gS
1580.253 502.548 :T
358 rotate
-1580.253 -502.548 :T
1210 511 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
gR
gS
1580.053 526.192 :T
358 rotate
-1580.053 -526.192 :T
1211 535 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
gR
gS
1580.853 549.8 :T
358 rotate
-1580.853 -549.8 :T
1212 558 :M
.011 .001(TO A UNIFIED APPROACH WHICH EXPLAINS BOTH THE BEHA )J
gR
gS
1578.914 573.504 :T
358 rotate
-1578.914 -573.504 :T
1213 582 :M
.011 .001(VIOUR OF GLASS PATTERNS IN THE APERIODIC CASE, AND T)J
gR
gS
1578.665 597.149 :T
358 rotate
-1578.665 -597.149 :T
1214 605 :M
.01 .001(HE WELL KNOWN BEHAVIOUR OF THE MOIRE PATTERNS IN P)J
gR
gS
1580.594 620.719 :T
358 rotate
-1580.594 -620.719 :T
1215 629 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
gR
gS
1581.675 644.318 :T
358 rotate
-1581.675 -644.318 :T
1215 653 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
gR
gS
1581.499 667.96 :T
358 rotate
-1581.499 -667.96 :T
1216 676 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
gR
gS
1585.135 691.47 :T
358 rotate
-1585.135 -691.47 :T
1217 700 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
gR
gS
1583.099 715.177 :T
358 rotate
-1583.099 -715.177 :T
1218 724 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
gR
gS
1582.954 738.819 :T
358 rotate
-1582.954 -738.819 :T
1219 747 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
gR
gS
1587.237 762.306 :T
358 rotate
-1587.237 -762.306 :T
1220 771 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
gR
gS
1587.714 785.925 :T
358 rotate
-1587.714 -785.925 :T
1220 794 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
gR
gS
1591.96 809.414 :T
358 rotate
-1591.96 -809.414 :T
1221 818 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
gR
gS
1589.015 833.153 :T
358 rotate
-1589.015 -833.153 :T
1222 841 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
gR
gS
1589.858 856.76 :T
358 rotate
-1589.858 -856.76 :T
1223 865 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
gR
gS
1589.279 880.417 :T
358 rotate
-1589.279 -880.417 :T
1224 889 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
gR
gS
1594.27 903.879 :T
358 rotate
-1594.27 -903.879 :T
1224 912 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
gR
gS
1594.07 927.522 :T
358 rotate
-1594.07 -927.522 :T
1225 936 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
gR
609 2052 :M
f29 sf
(\(c\))S
1554 2052 :M
(\(d\))S
1 G
260 1217 744 744 rF
0 G
260 1217 744 744 rS
267 1243 :M
f42 sf
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
267 1267 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
267 1290 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
267 1314 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
267 1338 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
267 1361 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
267 1385 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
267 1408 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
267 1432 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
267 1456 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
267 1479 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
267 1503 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
267 1526 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
267 1550 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
267 1574 :M
.011 .001(TO A UNIFIED APPROACH WHICH EXPLAINS BOTH THE BEHA )J
267 1597 :M
.011 .001(VIOUR OF GLASS PATTERNS IN THE APERIODIC CASE, AND T)J
267 1621 :M
.01 .001(HE WELL KNOWN BEHAVIOUR OF THE MOIRE PATTERNS IN P)J
267 1645 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
267 1668 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
267 1692 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
267 1715 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
267 1739 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
267 1763 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
267 1786 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
267 1810 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
267 1834 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
267 1857 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
267 1881 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
267 1904 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
267 1928 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
267 1952 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
1 G
1205 1217 744 744 rF
0 G
1205 1217 744 744 rS
1212 1243 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
1212 1267 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
1212 1290 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
1212 1314 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
1212 1338 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
1212 1361 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
1212 1385 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
1212 1408 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
1212 1432 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
1212 1456 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
1212 1479 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
1212 1503 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
1212 1526 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
1212 1550 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
1212 1574 :M
.011 .001(TO A UNIFIED APPROACH WHICH EXPLAINS BOTH THE BEHA )J
1212 1597 :M
.011 .001(VIOUR OF GLASS PATTERNS IN THE APERIODIC CASE, AND T)J
1212 1621 :M
.01 .001(HE WELL KNOWN BEHAVIOUR OF THE MOIRE PATTERNS IN P)J
1212 1645 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
1212 1668 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
1212 1692 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
1212 1715 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
1212 1739 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
1212 1763 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
1212 1786 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
1212 1810 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
1212 1834 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
1212 1857 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
1212 1881 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
1212 1904 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
1212 1928 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
1212 1952 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
gS
634 1589 :T
354 rotate
-634 -1589 :T
262 1217 744 744 rS
gR
gS
597.461 1237.193 :T
354 rotate
-597.461 -1237.193 :T
231 1246 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
gR
gS
600.185 1260.659 :T
354 rotate
-600.185 -1260.659 :T
234 1269 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
gR
gS
601.658 1284.256 :T
354 rotate
-601.658 -1284.256 :T
236 1293 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
gR
gS
606.926 1307.455 :T
354 rotate
-606.926 -1307.455 :T
239 1316 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
gR
gS
606.548 1331.247 :T
354 rotate
-606.548 -1331.247 :T
241 1340 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
gR
gS
608.052 1354.841 :T
354 rotate
-608.052 -1354.841 :T
244 1363 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
gR
gS
613.963 1377.972 :T
354 rotate
-613.963 -1377.972 :T
246 1386 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
gR
gS
616.086 1401.501 :T
354 rotate
-616.086 -1401.501 :T
249 1410 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
gR
gS
621.961 1424.635 :T
354 rotate
-621.961 -1424.635 :T
251 1433 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
gR
gS
620.679 1448.522 :T
354 rotate
-620.679 -1448.522 :T
254 1457 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
gR
gS
623.166 1472.013 :T
354 rotate
-623.166 -1472.013 :T
256 1480 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
gR
gS
624.239 1495.652 :T
354 rotate
-624.239 -1495.652 :T
259 1504 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
gR
gS
630.854 1518.709 :T
354 rotate
-630.854 -1518.709 :T
261 1527 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
gR
gS
632.303 1542.309 :T
354 rotate
-632.303 -1542.309 :T
264 1551 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
gR
gS
634.748 1565.804 :T
354 rotate
-634.748 -1565.804 :T
266 1574 :M
.011 .001(TO A UNIFIED APPROACH WHICH EXPLAINS BOTH THE BEHA )J
gR
gS
634.468 1589.586 :T
354 rotate
-634.468 -1589.586 :T
268 1598 :M
.011 .001(VIOUR OF GLASS PATTERNS IN THE APERIODIC CASE, AND T)J
gR
gS
635.869 1613.191 :T
354 rotate
-635.869 -1613.191 :T
271 1622 :M
.01 .001(HE WELL KNOWN BEHAVIOUR OF THE MOIRE PATTERNS IN P)J
gR
gS
639.437 1636.568 :T
354 rotate
-639.437 -1636.568 :T
273 1645 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
gR
gS
642.161 1660.034 :T
354 rotate
-642.161 -1660.034 :T
276 1668 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
gR
gS
643.635 1683.631 :T
354 rotate
-643.635 -1683.631 :T
278 1692 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
gR
gS
648.902 1706.83 :T
354 rotate
-648.902 -1706.83 :T
281 1715 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
gR
gS
648.524 1730.622 :T
354 rotate
-648.524 -1730.622 :T
283 1739 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
gR
gS
650.029 1754.216 :T
354 rotate
-650.029 -1754.216 :T
286 1763 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
gR
gS
655.939 1777.347 :T
354 rotate
-655.939 -1777.347 :T
288 1786 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
gR
gS
658.063 1800.876 :T
354 rotate
-658.063 -1800.876 :T
291 1809 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
gR
gS
663.937 1824.011 :T
354 rotate
-663.937 -1824.011 :T
293 1832 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
gR
gS
662.655 1847.898 :T
354 rotate
-662.655 -1847.898 :T
296 1856 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
gR
gS
665.142 1871.388 :T
354 rotate
-665.142 -1871.388 :T
298 1880 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
gR
gS
666.215 1895.028 :T
354 rotate
-666.215 -1895.028 :T
301 1903 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
gR
gS
672.83 1918.085 :T
354 rotate
-672.83 -1918.085 :T
303 1926 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
gR
gS
674.28 1941.684 :T
354 rotate
-674.28 -1941.684 :T
306 1950 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
gR
gS
1577 1590 :T
354 rotate
-1577 -1590 :T
1205 1218 744 744 rS
gR
gS
1539.023 1237.912 :T
-1 1 scale
6 rotate
-1539.023 -1237.912 :T
1173 1246 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
gR
gS
1541.237 1261.432 :T
-1 1 scale
6 rotate
-1541.237 -1261.432 :T
1175 1270 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
gR
gS
1544.702 1284.82 :T
-1 1 scale
6 rotate
-1544.702 -1284.82 :T
1179 1293 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
gR
gS
1544.373 1308.607 :T
-1 1 scale
6 rotate
-1544.373 -1308.607 :T
1176 1317 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
gR
gS
1549.689 1331.8 :T
-1 1 scale
6 rotate
-1549.689 -1331.8 :T
1184 1340 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
gR
gS
1553.123 1355.191 :T
-1 1 scale
6 rotate
-1553.123 -1355.191 :T
1189 1364 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
gR
gS
1552.151 1379.046 :T
-1 1 scale
6 rotate
-1552.151 -1379.046 :T
1184 1387 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
gR
gS
1554.966 1402.502 :T
-1 1 scale
6 rotate
-1554.966 -1402.502 :T
1188 1411 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
gR
gS
1554.03 1426.352 :T
-1 1 scale
6 rotate
-1554.03 -1426.352 :T
1183 1435 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
gR
gS
1560.25 1449.451 :T
-1 1 scale
6 rotate
-1560.25 -1449.451 :T
1193 1458 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
gR
gS
1562.701 1472.945 :T
-1 1 scale
6 rotate
-1562.701 -1472.945 :T
1196 1481 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
gR
gS
1566.567 1496.291 :T
-1 1 scale
6 rotate
-1566.567 -1496.291 :T
1201 1505 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
gR
gS
1564.89 1520.22 :T
-1 1 scale
6 rotate
-1564.89 -1520.22 :T
1195 1529 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
gR
gS
1568.379 1543.605 :T
-1 1 scale
6 rotate
-1568.379 -1543.605 :T
1200 1552 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
gR
gS
1570.872 1567.095 :T
-1 1 scale
6 rotate
-1570.872 -1567.095 :T
1202 1575 :M
.011 .001(TO A UNIFIED APPROACH WHICH EXPLAINS BOTH THE BEHA )J
gR
gS
1576.091 1590.299 :T
-1 1 scale
6 rotate
-1576.091 -1590.299 :T
1210 1599 :M
.011 .001(VIOUR OF GLASS PATTERNS IN THE APERIODIC CASE, AND T)J
gR
gS
1579.629 1613.679 :T
-1 1 scale
6 rotate
-1579.629 -1613.679 :T
1215 1622 :M
.01 .001(HE WELL KNOWN BEHAVIOUR OF THE MOIRE PATTERNS IN P)J
gR
gS
1580.999 1637.288 :T
-1 1 scale
6 rotate
-1580.999 -1637.288 :T
1215 1646 :M
.012 .001(MOIRE EFFECTS THAT OCCUR IN THE SUPERPOSITION OF PER)J
gR
gS
1583.214 1660.807 :T
-1 1 scale
6 rotate
-1583.214 -1660.807 :T
1217 1669 :M
.014 .001(IODIC LAYERS HAVE BEEN INTENSIVELY INVESTIGATED IN T)J
gR
gS
1586.678 1684.195 :T
-1 1 scale
6 rotate
-1586.678 -1684.195 :T
1221 1693 :M
.012 .001(HE PAST, AND THEIR MATHEMATICAL THEORY IS TODAY FU)J
gR
gS
1586.349 1707.982 :T
-1 1 scale
6 rotate
-1586.349 -1707.982 :T
1218 1716 :M
.009 .001(LLY UNDERSTOOD. THE SAME IS TRUE FOR MOIRE EFFECTS B)J
gR
gS
1591.665 1731.175 :T
-1 1 scale
6 rotate
-1591.665 -1731.175 :T
1226 1740 :M
.008 .001(ETWEEN REPETITIVE LAYERS I.E. BETWEEN GEOMETRIC TRA)J
gR
gS
1595.1 1754.566 :T
-1 1 scale
6 rotate
-1595.1 -1754.566 :T
1231 1763 :M
.017 .002(NSFORMATIONS OF PERIODIC LAYERS. HOWEVER, ALTHOUG)J
gR
gS
1594.127 1778.421 :T
-1 1 scale
6 rotate
-1594.127 -1778.421 :T
1226 1787 :M
.01 .001(H MOIRE EFFECTS THAT OCCUR BETWEEN APERIODIC LAYER)J
gR
gS
1596.942 1801.877 :T
-1 1 scale
6 rotate
-1596.942 -1801.877 :T
1230 1810 :M
.009 .001(S \(GLASS PATTERNS\) ARE KNOWN SINCE THE 1960S, ONLY LI)J
gR
gS
1596.006 1825.728 :T
-1 1 scale
6 rotate
-1596.006 -1825.728 :T
1225 1834 :M
.012 .001(TTLE IS KNOWN TODAY ON THEIR MATHEMATICAL BEHAVIO )J
gR
gS
1602.227 1848.826 :T
-1 1 scale
6 rotate
-1602.227 -1848.826 :T
1235 1857 :M
.01 .001(UR. IN THIS BOOK WE STUDY THE BEHAVIOUR OF SUCH MOI )J
gR
gS
1604.678 1872.321 :T
-1 1 scale
6 rotate
-1604.678 -1872.321 :T
1238 1881 :M
.012 .001(RES, AND COMPARE IT WITH ANALOGOUS RESULTS FROM TH)J
gR
gS
1608.543 1895.667 :T
-1 1 scale
6 rotate
-1608.543 -1895.667 :T
1243 1904 :M
.008 .001(E PERIODIC CASE. WE SHOW THAT ALL CASES, PERIODIC OR)J
gR
gS
1606.866 1919.595 :T
-1 1 scale
6 rotate
-1606.866 -1919.595 :T
1237 1928 :M
.01 .001(NOT, OBEY THE SAME BASIC MATHEMATICAL RULES IN SPIT )J
gR
gS
1610.355 1942.98 :T
-1 1 scale
6 rotate
-1610.355 -1942.98 :T
1242 1951 :M
.01 .001(E OF THEIR DIFFERENT VISUAL PROPERTIES. THIS LEADS US )J
gR
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