forked from DrWaleedAYousef/Teaching
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathOptimization.nb
3083 lines (3064 loc) · 176 KB
/
Optimization.nb
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
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 0, 0]
NotebookDataLength[ 180629, 3082]
NotebookOptionsPosition[ 179419, 3051]
NotebookOutlinePosition[ 179757, 3066]
CellTagsIndexPosition[ 179714, 3063]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{
RowBox[{"S1", "=",
RowBox[{"Plot3D", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"x", "-", "1"}], ")"}], "^", "2"}], "+", "y", "-", "2"}],
",",
RowBox[{
RowBox[{"-", "1"}], "/", "4"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "5"}], ",", "5"}], "}"}], ",",
RowBox[{"{",
RowBox[{"y", ",",
RowBox[{"-", "5"}], ",", "5"}], "}"}], ",", " ",
RowBox[{"PlotRange", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"-", "5"}], ",", "10"}], "}"}]}]}], "]"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"S2", " ", "=", " ",
RowBox[{"ContourPlot3D", "[",
RowBox[{
RowBox[{
RowBox[{"y", "-", "x"}], "\[Equal]", "1"}], ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "10"}], ",", "10"}], "}"}], ",",
RowBox[{"{",
RowBox[{"y", ",",
RowBox[{"-", "10"}], ",", "10"}], "}"}], ",",
RowBox[{"{",
RowBox[{"z", ",",
RowBox[{"-", "10"}], ",", "10"}], "}"}], ",",
RowBox[{"AxesLabel", "\[Rule]",
RowBox[{"{",
RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], ",",
RowBox[{"Mesh", "\[Rule]", "None"}], ",",
RowBox[{"ContourStyle", "\[Rule]",
RowBox[{"Directive", "[", "Red", "]"}]}]}], "]"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"S3", " ", "=", " ",
RowBox[{"ContourPlot3D", "[",
RowBox[{
RowBox[{
RowBox[{"x", "+", "y"}], "\[Equal]", "2"}], ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "10"}], ",", "10"}], "}"}], ",",
RowBox[{"{",
RowBox[{"y", ",",
RowBox[{"-", "10"}], ",", "10"}], "}"}], ",",
RowBox[{"{",
RowBox[{"z", ",",
RowBox[{"-", "10"}], ",", "10"}], "}"}], ",",
RowBox[{"AxesLabel", "\[Rule]",
RowBox[{"{",
RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], ",",
RowBox[{"Mesh", "\[Rule]", "None"}], ",",
RowBox[{"ContourStyle", "\[Rule]",
RowBox[{"Directive", "[", "Red", "]"}]}]}], "]"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"Show", "[",
RowBox[{"S1", ",", "S2", ",", "S3"}], "]"}], "\[IndentingNewLine]",
"\[IndentingNewLine]", "\[IndentingNewLine]",
"\[IndentingNewLine]"}], "\[IndentingNewLine]"}], "Input",
CellChangeTimes->{{3.7592478022219048`*^9, 3.759247908972953*^9}, {
3.759247954294067*^9, 3.75924795696346*^9}, {3.7592481330048647`*^9,
3.759248281929727*^9}, {3.759248343696321*^9, 3.759248368732745*^9}, {
3.759248408107465*^9, 3.75924846020306*^9}, {3.759248493527047*^9,
3.7592485475243893`*^9}, {3.7592486667471*^9, 3.7592486692088137`*^9}, {
3.759336531720251*^9, 3.759336570721056*^9}, {3.75933661958359*^9,
3.7593366357214537`*^9}, {3.759336869782496*^9, 3.759336917728685*^9}, {
3.759336964653508*^9, 3.759336984300468*^9}, {3.759337066504059*^9,
3.759337116921454*^9}, {3.7593371475993137`*^9, 3.7593372491795387`*^9},
3.759337382087129*^9, {3.759337412469083*^9, 3.759337468402822*^9}, {
3.7593375103203363`*^9, 3.759337511179657*^9}, {3.7593376219370813`*^9,
3.759337638144264*^9}, {3.759337709105113*^9, 3.759337710680079*^9}, {
3.759337742302195*^9, 3.7593377430399733`*^9}, {3.759337781801882*^9,
3.759337906334071*^9}, {3.759337973244452*^9, 3.759338038446754*^9}, {
3.759338090447831*^9, 3.759338091163294*^9}, {3.759338213824058*^9,
3.7593382173619556`*^9}, {3.759382745251615*^9, 3.759382786341876*^9}, {
3.759384874488742*^9, 3.759384880192719*^9}, 3.7595636725440474`*^9, {
3.75956521752275*^9, 3.759565345389299*^9}, {3.7595653778794537`*^9,
3.75956549525595*^9}, {3.759632591380028*^9, 3.7596325948367643`*^9}, {
3.7596405835682898`*^9,
3.7596406065213203`*^9}},ExpressionUUID->"3fadd16f-7ca4-4b2e-a437-\
4385c9d71497"],
Cell[BoxData[
TemplateBox[{
"ContourPlot3D","nonopt",
"\"Options expected (instead of \\!\\(\\*RowBox[{\\\"Opacity\\\", \
\\\"[\\\", \\\"0.5`\\\", \\\"]\\\"}]\\)) beyond position \
\\!\\(\\*RowBox[{\\\"4\\\"}]\\) in \\!\\(\\*RowBox[{\\\"ContourPlot3D\\\", \\\
\"[\\\", RowBox[{RowBox[{RowBox[{\\\"y\\\", \\\"-\\\", \\\"x\\\"}], \\\"\
\[Equal]\\\", \\\"1\\\"}], \\\",\\\", RowBox[{\\\"{\\\", RowBox[{\\\"x\\\", \
\\\",\\\", RowBox[{\\\"-\\\", \\\"10\\\"}], \\\",\\\", \\\"10\\\"}], \
\\\"}\\\"}], \\\",\\\", RowBox[{\\\"{\\\", RowBox[{\\\"y\\\", \\\",\\\", \
RowBox[{\\\"-\\\", \\\"10\\\"}], \\\",\\\", \\\"10\\\"}], \\\"}\\\"}], \
\\\",\\\", RowBox[{\\\"{\\\", RowBox[{\\\"z\\\", \\\",\\\", \
RowBox[{\\\"-\\\", \\\"10\\\"}], \\\",\\\", \\\"10\\\"}], \\\"}\\\"}], \
\\\",\\\", RowBox[{\\\"AxesLabel\\\", \\\"\[Rule]\\\", RowBox[{\\\"{\\\", \
RowBox[{\\\"x\\\", \\\",\\\", \\\"y\\\", \\\",\\\", \\\"z\\\"}], \
\\\"}\\\"}]}], \\\",\\\", RowBox[{\\\"Mesh\\\", \\\"\[Rule]\\\", \
\\\"None\\\"}], \\\",\\\", RowBox[{\\\"ContourStyle\\\", \\\"\[Rule]\\\", \
RowBox[{\\\"Directive\\\", \\\"[\\\", \\\"Red\\\", \\\"]\\\"}]}], \\\",\\\", \
RowBox[{\\\"Opacity\\\", \\\"[\\\", \\\"0.5`\\\", \\\"]\\\"}]}], \
\\\"]\\\"}]\\). An option must be a rule or a list of rules.\"",2,10,3,
31868342380052856493,"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.75964060182108*^9},
CellLabel->
"During evaluation of \
In[9]:=",ExpressionUUID->"89f198bf-bd78-4ac3-8599-08b295071edd"],
Cell[BoxData[
TemplateBox[{
"ContourPlot3D","nonopt",
"\"Options expected (instead of \\!\\(\\*RowBox[{\\\"Opacity\\\", \
\\\"[\\\", \\\"0.5`\\\", \\\"]\\\"}]\\)) beyond position \
\\!\\(\\*RowBox[{\\\"4\\\"}]\\) in \\!\\(\\*RowBox[{\\\"ContourPlot3D\\\", \\\
\"[\\\", RowBox[{RowBox[{RowBox[{\\\"y\\\", \\\"-\\\", \\\"x\\\"}], \\\"\
\[Equal]\\\", \\\"1\\\"}], \\\",\\\", RowBox[{\\\"{\\\", RowBox[{\\\"x\\\", \
\\\",\\\", RowBox[{\\\"-\\\", \\\"10\\\"}], \\\",\\\", \\\"10\\\"}], \
\\\"}\\\"}], \\\",\\\", RowBox[{\\\"{\\\", RowBox[{\\\"y\\\", \\\",\\\", \
RowBox[{\\\"-\\\", \\\"10\\\"}], \\\",\\\", \\\"10\\\"}], \\\"}\\\"}], \
\\\",\\\", RowBox[{\\\"{\\\", RowBox[{\\\"z\\\", \\\",\\\", \
RowBox[{\\\"-\\\", \\\"10\\\"}], \\\",\\\", \\\"10\\\"}], \\\"}\\\"}], \
\\\",\\\", RowBox[{\\\"AxesLabel\\\", \\\"\[Rule]\\\", RowBox[{\\\"{\\\", \
RowBox[{\\\"x\\\", \\\",\\\", \\\"y\\\", \\\",\\\", \\\"z\\\"}], \
\\\"}\\\"}]}], \\\",\\\", RowBox[{\\\"Mesh\\\", \\\"\[Rule]\\\", \
\\\"None\\\"}], \\\",\\\", RowBox[{\\\"ContourStyle\\\", \\\"\[Rule]\\\", \
RowBox[{\\\"Directive\\\", \\\"[\\\", \\\"Red\\\", \\\"]\\\"}]}], \\\",\\\", \
RowBox[{\\\"Opacity\\\", \\\"[\\\", \\\"0.5`\\\", \\\"]\\\"}]}], \
\\\"]\\\"}]\\). An option must be a rule or a list of rules.\"",2,12,4,
31868342380052856493,"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.7596406018512373`*^9},
CellLabel->
"During evaluation of \
In[9]:=",ExpressionUUID->"cd40a7fa-edf3-40ff-86cf-c805ee33e746"],
Cell[BoxData[
TemplateBox[{
"Show","gcomb",
"\"Could not combine the graphics objects in \
\\!\\(\\*RowBox[{\\\"Show\\\", \\\"[\\\", \
RowBox[{Graphics3DBox[GraphicsComplex3DBox[List[List[-4.999999285714286`, \
-4.999999285714286`, 10.`], List[-4.285713673469388`, -4.999999285714286`, \
10.`], List[-3.5714280612244904`, -4.999999285714286`, 10.`], \
List[-2.8571424489795927`, -4.999999285714286`, 7.877548586006004`], \
List[-2.142856836734695`, -4.999999285714286`, 2.8775498104957267`], \
List[-1.428571224489797`, -4.999999285714286`, -1.102041093294413`], \
List[-0.7142856122448991`, -4.999999285714286`, -4.061224125364417`], \
List[-1.1102230246251565`*^-15, -4.999999285714286`, -5.`], \
List[0.7142856122448968`, -4.999999285714286`, -5.`], \
List[1.4285712244897948`, -4.999999285714286`, -5.`], \
List[2.1428568367346927`, -4.999999285714286`, -5.`], \
List[2.857142448979591`, -4.999999285714286`, -3.5510212099123732`], \
List[3.5714280612244886`, -4.999999285714286`, -0.3877570116615532`], \
List[4.285713673469386`, -4.999999285714286`, 3.7959150583094035`], \
List[4.999999285714286`, -4.999999285714286`, 8.99999500000051`], \
List[-4.999999285714286`, -4.285713673469388`, 10.`], \
List[-4.285713673469388`, -4.285713673469388`, 10.`], \
List[-3.5714280612244904`, -4.285713673469388`, 10.`], \
List[-2.8571424489795927`, -4.285713673469388`, 8.591834198250902`], \
List[-2.142856836734695`, -4.285713673469388`, 3.5918354227406244`], \
List[-1.428571224489797`, -4.285713673469388`, -0.3877554810495152`], \
List[-0.7142856122448991`, -4.285713673469388`, -3.3469385131195195`], \
List[-1.1102230246251565`*^-15, -4.285713673469388`, -5.`], \
List[0.7142856122448968`, -4.285713673469388`, -5.`], \
List[1.4285712244897948`, -4.285713673469388`, -5.`], \
List[2.1428568367346927`, -4.285713673469388`, -4.97959192419816`], \
List[2.857142448979591`, -4.285713673469388`, -2.8367355976674755`], \
List[3.5714280612244886`, -4.285713673469388`, 0.32652860058334454`], \
List[4.285713673469386`, -4.285713673469388`, 4.510200670554301`], \
List[4.999999285714286`, -4.285713673469388`, 9.714280612245409`], \
List[-4.999999285714286`, -3.5714280612244904`, 10.`], \
List[-4.285713673469388`, -3.5714280612244904`, 10.`], \
List[-3.5714280612244904`, -3.5714280612244904`, 10.`], \
List[-2.8571424489795927`, -3.5714280612244904`, 9.306119810495801`], \
List[-2.142856836734695`, -3.5714280612244904`, 4.306121034985522`], \
List[-1.428571224489797`, -3.5714280612244904`, 0.32653013119538254`], \
List[-0.7142856122448991`, -3.5714280612244904`, -2.632652900874622`], \
List[-1.1102230246251565`*^-15, -3.5714280612244904`, -4.571428061224488`], \
List[0.7142856122448968`, -3.5714280612244904`, -5.`], \
List[1.4285712244897948`, -3.5714280612244904`, -5.`], \
List[2.1428568367346927`, -3.5714280612244904`, -4.265306311953262`], \
List[2.857142448979591`, -3.5714280612244904`, -2.122449985422578`], \
List[3.5714280612244886`, -3.5714280612244904`, 1.0408142128282423`], \
List[4.285713673469386`, -3.5714280612244904`, 5.224486282799199`], \
List[4.999999285714286`, -3.5714280612244904`, 10.`], \
List[-4.999999285714286`, -2.8571424489795927`, 10.`], \
List[-4.285713673469388`, -2.8571424489795927`, 10.`], \
List[-3.5714280612244904`, -2.8571424489795927`, 10.`], \
List[-2.8571424489795927`, -2.8571424489795927`, 10.`], \
List[-2.142856836734695`, -2.8571424489795927`, 5.02040664723042`], \
Skeleton[3655]], List[List[List[EdgeForm[], \
Directive[Specularity[Skeleton[2]], RGBColor[Skeleton[3]], \
Rule[Skeleton[2]]], GraphicsGroup3DBox[TagBox[Skeleton[2], \
Function[Annotation[Slot[1], Skeleton[2]]]]]], List[EdgeForm[], \
Directive[Specularity[Skeleton[2]], RGBColor[Skeleton[3]], \
Rule[Skeleton[2]]], GraphicsGroup3DBox[TagBox[Skeleton[2], \
Function[Annotation[Slot[1], Skeleton[2]]]]]], List[EdgeForm[], \
Directive[GrayLevel[Skeleton[1]], Rule[Skeleton[2]]], \
GraphicsGroup3DBox[List[Skeleton[3]]]], List[EdgeForm[], \
Directive[GrayLevel[Skeleton[1]], Rule[Skeleton[2]]], \
GraphicsGroup3DBox[List[Skeleton[3]]]], List[], List[], List[]], \
List[List[GrayLevel[0], Line3DBox[List[Skeleton[99]]], \
Line3DBox[List[Skeleton[185]]], Line3DBox[List[Skeleton[64]]], \
Line3DBox[List[Skeleton[80]]]], List[GrayLevel[0], \
Line3DBox[List[Skeleton[133]]]], List[GrayLevel[0.2`], \
Line3DBox[List[Skeleton[15]]], Line3DBox[List[Skeleton[45]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[42]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[44]]], \
Line3DBox[List[Skeleton[15]]], Line3DBox[List[Skeleton[17]]], \
Line3DBox[List[Skeleton[45]]], Line3DBox[List[Skeleton[44]]], \
Line3DBox[List[Skeleton[41]]], Line3DBox[List[Skeleton[38]]], \
Line3DBox[List[Skeleton[38]]], Line3DBox[List[Skeleton[17]]], \
Line3DBox[List[Skeleton[22]]], Line3DBox[List[Skeleton[21]]], \
Line3DBox[List[Skeleton[46]]], Line3DBox[List[Skeleton[46]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[41]]], \
Line3DBox[List[Skeleton[40]]], Line3DBox[List[Skeleton[40]]], \
Line3DBox[List[Skeleton[45]]]], List[GrayLevel[0.2`], \
Line3DBox[List[Skeleton[20]]], Line3DBox[List[Skeleton[38]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[57]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[41]]], \
Line3DBox[List[Skeleton[26]]], Line3DBox[List[Skeleton[105]]], \
Line3DBox[List[Skeleton[104]]], Line3DBox[List[Skeleton[63]]], \
Line3DBox[List[Skeleton[57]]], Line3DBox[List[Skeleton[66]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[42]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[43]]], Line3DBox[List[Skeleton[43]]], \
Line3DBox[List[Skeleton[44]]], Line3DBox[List[Skeleton[45]]], \
Line3DBox[List[Skeleton[43]]]], List[], List[], List[], List[], List[]]], \
Rule[VertexNormals, List[List[0.`, 0.`, 1.`], List[0.`, 0.`, 1.`], List[0.`, \
0.`, 1.`], List[0.9836081856920065`, -0.12750477840726432`, \
0.12750477843200084`], List[0.975612149470742`, -0.15521103987109183`, \
0.1552110399012035`], List[0.9601302340270974`, -0.19767389014726996`, \
0.19767389018561962`], List[0.924445450926899`, -0.2696299392058995`, \
0.26962993925820894`], List[0.`, 0.`, 1.`], List[0.`, 0.`, 1.`], List[0.`, \
0.`, 1.`], List[0.`, 0.`, 1.`], List[-0.9345506762099214`, \
-0.2516098503348138`, 0.25160985038362726`], List[-0.9642088384764923`, \
-0.18748508712718293`, 0.1874850871635559`], List[-0.9776176190261177`, \
-0.14876792490506346`, 0.14876792493392513`], List[-0.9847319228516177`, \
-0.12309151089956734`, 0.12309151092344767`], List[0.`, 0.`, 1.`], List[0.`, \
0.`, 1.`], List[0.`, 0.`, 1.`], List[0.9836081856920065`, \
-0.12750477840726432`, 0.12750477843200084`], List[0.975612149470742`, \
-0.15521103987109183`, 0.1552110399012035`], List[0.9601302340270974`, \
-0.19767389014726996`, 0.19767389018561962`], List[0.924445450926899`, \
-0.2696299392058995`, 0.26962993925820894`], List[0.`, 0.`, 1.`], List[0.`, \
0.`, 1.`], List[0.`, 0.`, 1.`], List[-0.8503903469761526`, \
-0.3720458692930695`, 0.37204586936524814`], List[-0.9345506762099214`, \
-0.2516098503348138`, 0.25160985038362726`], List[-0.9642088384764923`, \
-0.18748508712718293`, 0.1874850871635559`], List[-0.9776176190261177`, \
-0.14876792490506346`, 0.14876792493392513`], List[-0.9847319227626865`, \
-0.12309151125529233`, 0.12309151127917266`], List[0.`, 0.`, 1.`], List[0.`, \
0.`, 1.`], List[0.`, 0.`, 1.`], List[0.9836081856920065`, \
-0.1275047784072643`, 0.12750477843200084`], List[0.975612149470742`, \
-0.1552110398710918`, 0.1552110399012035`], List[0.9601302340270974`, \
-0.19767389014726994`, 0.19767389018561962`], List[0.924445450926899`, \
-0.26962993920589945`, 0.26962993925820894`], List[0.8164965809541268`, \
-0.40824829039786126`, 0.4082482904770634`], List[0.`, 0.`, 1.`], List[0.`, \
0.`, 1.`], List[-0.8503903441112727`, -0.372045872567217`, \
0.3720458726393957`], List[-0.9345506762099214`, -0.25160985033481376`, \
0.25160985038362726`], List[-0.9642088384764923`, -0.18748508712718293`, \
0.1874850871635559`], List[-0.9776176190261177`, -0.14876792490506344`, \
0.14876792493392513`], List[0.`, 0.`, 1.`], List[0.`, 0.`, 1.`], List[0.`, \
0.`, 1.`], List[0.`, 0.`, 1.`], List[0.`, 0.`, 1.`], List[0.975612149470742`, \
-0.15521103987109178`, 0.1552110399012035`], Skeleton[3655]]]], \
List[Rule[DisplayFunction, Identity], Rule[Ticks, List[Automatic, Automatic, \
Automatic]], Rule[FaceGrids, None], Rule[DisplayFunction, Identity], \
Rule[Axes, True], Rule[AxesLabel, List[None, None, None]], Rule[AxesOrigin, \
List[Automatic, Automatic, Automatic]], Rule[BoxRatios, List[1, 1, 0.4`]], \
RuleDelayed[DisplayFunction, Identity], Rule[FaceGridsStyle, Automatic], \
Rule[Method, List[Rule[\\\"DefaultBoundaryStyle\\\", \
Directive[GrayLevel[Skeleton[1]]]], Rule[\\\"RotationControl\\\", \\\"Globe\\\
\"]]], Rule[PlotRange, List[List[-5.`, 5.`], List[-5.`, 5.`], List[-5, 10]]], \
Rule[PlotRangePadding, List[Scaled[0.02`], Scaled[0.02`], Automatic]], \
Rule[Ticks, List[Automatic, Automatic, Automatic]]]], \\\",\\\", \
RowBox[{\\\"ContourPlot3D\\\", \\\"[\\\", RowBox[{RowBox[{RowBox[{\\\"y\\\", \
\\\"-\\\", \\\"x\\\"}], \\\"\[Equal]\\\", \\\"1\\\"}], \\\",\\\", \
RowBox[{\\\"{\\\", RowBox[{\\\"x\\\", \\\",\\\", RowBox[{\\\"-\\\", \
\\\"10\\\"}], \\\",\\\", \\\"10\\\"}], \\\"}\\\"}], \\\",\\\", \
RowBox[{\\\"{\\\", RowBox[{\\\"y\\\", \\\",\\\", RowBox[{\\\"-\\\", \
\\\"10\\\"}], \\\",\\\", \\\"10\\\"}], \\\"}\\\"}], \\\",\\\", \
RowBox[{\\\"{\\\", RowBox[{\\\"z\\\", \\\",\\\", RowBox[{\\\"-\\\", \
\\\"10\\\"}], \\\",\\\", \\\"10\\\"}], \\\"}\\\"}], \\\",\\\", \
RowBox[{\\\"AxesLabel\\\", \\\"\[Rule]\\\", RowBox[{\\\"{\\\", \
RowBox[{\\\"x\\\", \\\",\\\", \\\"y\\\", \\\",\\\", \\\"z\\\"}], \
\\\"}\\\"}]}], \\\",\\\", RowBox[{\\\"Mesh\\\", \\\"\[Rule]\\\", \
\\\"None\\\"}], \\\",\\\", RowBox[{\\\"ContourStyle\\\", \\\"\[Rule]\\\", \
RowBox[{\\\"Directive\\\", \\\"[\\\", \\\"Red\\\", \\\"]\\\"}]}], \\\",\\\", \
RowBox[{\\\"Opacity\\\", \\\"[\\\", \\\"0.5`\\\", \\\"]\\\"}]}], \\\"]\\\"}], \
\\\",\\\", Graphics3DBox[GraphicsComplex3DBox[List[List[5.753370544115754`, \
-3.761039679132791`, -1.2558677325865482`], List[5.753370544115754`, \
-3.761039679132791`, -0.004278423051724545`], List[5.001021347662901`, \
-3.0081675938165233`, -1.2558677325865482`], List[5.001021347662901`, \
-3.0081675938165233`, -0.004278423051724545`], List[7.004028948608807`, \
-5.012567301476717`, -1.2558677325865482`], List[7.004028948608807`, \
-5.012567301476717`, -0.004278423051724545`], List[6.251679752155953`, \
-4.259695216160449`, -1.2558677325865482`], List[6.251679752155953`, \
-4.259695216160449`, -0.004278423051724545`], List[7.004028948608807`, \
-5.012567301476717`, -2.50745704212137`], List[6.251679752155953`, \
-4.259695216160449`, -2.50745704212137`], List[5.753370544115754`, \
-3.761039679132791`, -2.50745704212137`], List[7.004028948608807`, \
-5.012567301476717`, -3.7590463516561936`], List[6.251679752155953`, \
-4.259695216160449`, -3.7590463516561936`], List[5.001021347662901`, \
-3.0081675938165233`, -2.50745704212137`], List[4.5027121396227`, \
-2.509512056788866`, -0.004278423051724545`], List[4.5027121396227`, \
-2.509512056788866`, 1.247310886483099`], List[5.001021347662901`, \
-3.0081675938165233`, 1.247310886483099`], List[4.5027121396227`, \
-2.509512056788866`, 2.498900196017921`], List[4.5027121396227`, \
-2.509512056788866`, 3.7504895055527445`], List[5.001021347662901`, \
-3.0081675938165233`, 2.498900196017921`], List[5.001021347662901`, \
-3.0081675938165233`, 3.7504895055527445`], List[2.0013953306365924`, \
-0.006456812101014009`, 1.247310886483099`], List[2.0013953306365924`, \
-0.006456812101014009`, 2.498900196017921`], List[2.4997045386767933`, \
-0.5051123491286713`, 1.247310886483099`], List[2.4997045386767933`, \
-0.5051123491286713`, 2.498900196017921`], List[2.0013953306365924`, \
-0.006456812101014009`, -0.004278423051724545`], List[2.4997045386767933`, \
-0.5051123491286713`, -0.004278423051724545`], List[2.0013953306365924`, \
-0.006456812101014009`, 3.7504895055527445`], List[2.0013953306365924`, \
-0.006456812101014009`, 5.002078815087568`], List[2.4997045386767933`, \
-0.5051123491286713`, 3.7504895055527445`], List[2.4997045386767933`, \
-0.5051123491286713`, 5.002078815087568`], List[5.753370544115754`, \
-3.761039679132791`, -7.513814280260663`], List[5.753370544115754`, \
-3.761039679132791`, -6.262224970725839`], List[6.251679752155953`, \
-4.259695216160449`, -7.513814280260663`], List[6.251679752155953`, \
-4.259695216160449`, -6.262224970725839`], List[5.001021347662901`, \
-3.0081675938165233`, -7.513814280260663`], List[5.001021347662901`, \
-3.0081675938165233`, -6.262224970725839`], List[5.753370544115754`, \
-3.761039679132791`, -5.010635661191016`], List[6.251679752155953`, \
-4.259695216160449`, -5.010635661191016`], List[5.753370544115754`, \
-3.761039679132791`, -8.765403589795485`], List[5.001021347662901`, \
-3.0081675938165233`, -8.765403589795485`], List[5.753370544115754`, \
-3.761039679132791`, -9.999998571428572`], List[5.001021347662901`, \
-3.0081675938165233`, -9.999998571428572`], List[7.004028948608807`, \
-5.012567301476717`, -8.765403589795485`], List[7.004028948608807`, \
-5.012567301476717`, -7.513814280260663`], List[6.251679752155953`, \
-4.259695216160449`, -8.765403589795485`], List[7.004028948608807`, \
-5.012567301476717`, -9.999998571428572`], List[6.251679752155953`, \
-4.259695216160449`, -9.999998571428572`], List[5.753370544115754`, \
-3.761039679132791`, -3.7590463516561936`], List[5.001021347662901`, \
-3.0081675938165233`, -5.010635661191016`], Skeleton[460]], \
List[List[List[EdgeForm[], Directive[Rule[Skeleton[2]], \
RGBColor[Skeleton[3]]], GraphicsGroup3DBox[TagBox[Skeleton[2], \
Function[Annotation[Slot[1], Skeleton[2]]]]]], List[], List[], List[], \
List[]], List[List[GrayLevel[0], Line3DBox[List[Skeleton[91]]]]]], \
Rule[VertexNormals, List[List[-0.7071067811865475`, -0.7071067811865476`, \
0.`], List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865476`, -0.7071067811865475`, 0.`], \
List[-0.7071067811865476`, -0.7071067811865475`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865476`, -0.7071067811865475`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865476`, -0.7071067811865475`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865476`, -0.7071067811865475`, 0.`], \
List[-0.7071067811865476`, -0.7071067811865475`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865476`, -0.7071067811865475`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865476`, -0.7071067811865475`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865476`, -0.7071067811865475`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], \
List[-0.7071067811865475`, -0.7071067811865476`, 0.`], Skeleton[460]]]], \
List[Rule[DisplayFunction, Identity], Rule[Axes, True], Rule[AxesLabel, \
List[FormBox[\\\"x\\\", TraditionalForm], FormBox[\\\"y\\\", \
TraditionalForm], FormBox[\\\"z\\\", TraditionalForm]]], Rule[BoxRatios, \
List[1, 1, 1]], RuleDelayed[DisplayFunction, Identity], Rule[FaceGridsStyle, \
Automatic], Rule[Method, List[Rule[\\\"DefaultBoundaryStyle\\\", \
Directive[GrayLevel[Skeleton[1]]]]]], Rule[PlotRange, List[List[-10, 10], \
List[-10, 10], List[-10, 10]]], Rule[PlotRangePadding, List[Scaled[0.02`], \
Scaled[0.02`], Scaled[0.02`]]], Rule[Ticks, List[Automatic, Automatic, \
Automatic]]]]}], \\\"]\\\"}]\\).\"",2,12,5,31868342380052856493,"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.7596406019384003`*^9},
CellLabel->
"During evaluation of \
In[9]:=",ExpressionUUID->"24e1715b-9705-4d77-ae9e-5c5ad36088c1"],
Cell[BoxData[
RowBox[{"Show", "[",
RowBox[{
Graphics3DBox[GraphicsComplex3DBox[CompressedData["
1:eJy0vXd8FNUX979JNiSbwKbSQgsQpKiAGpAoMiMoJDQRUFCqFA1KEKNUQUKQ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