Table 1: Columns b and c extracted from "spiralspread" Excel spread
sheet.
R Theta
1.61803389 1.5707963
1.69779939 1.72787593
1.78149716 1.88495556
1.86932105 2.04203519
1.96147446 2.19911482
2.05817083 2.35619445
2.15963412 2.51327408
2.26609933 2.67035371
2.37781303 2.82743334
2.49503398 2.98451297
2.61803366 3.1415926
2.74709695 3.29867223
2.88252278 3.45575186
3.02462481 3.61283149
3.17373215 3.76991112
3.33019015 3.92699075
3.49436119 4.08407038
3.6666255 4.24115001
3.84738206 4.39822964
4.03704953 4.55530927
4.23606718 4.7123889
4.44489596 4.86946853
4.66401954 5.02654816
4.89394543 5.18362779
5.13520616 5.34070742
5.38836051 5.49778705
5.65399482 5.65486668
5.93272431 5.81194631
6.22519455 5.96902594
6.53208294 6.12610557
6.85410024 6.2831852
7.19199228 6.44026483
7.54654166 6.59734446
7.91856955 6.75442409
8.30893758 6.91150372
8.71854991 7.06858335
9.14835521 7.22566298
9.59934898 7.38274261
10.0725757 7.53982224
10.5691315 7.69690187
11.0901664 7.8539815
11.6368872 8.01106113
12.2105601 8.16814076
12.8125139 8.32522039
13.4441426 8.48230002
14.1069092 8.63937965
14.8023487 8.79645928
15.5320719 8.95353891
16.2977689 9.11061854
17.101213 9.26769817
17.9442651 9.4247778
18.8288779 9.58185743
19.7571001 9.73893706
20.7310816 9.89601669
21.7530783 10.0530963
22.8254571 10.210176
23.9507019 10.3672556
25.1314187 10.5243352
26.3703423 10.6814148
27.6703421 10.8384945
29.034429 10.9955741
30.4657624 11.1526537
31.9676574 11.3097334
33.5435925 11.466813
35.1972178 11.6238926
36.9323631 11.7809723
38.7530472 11.9380519
40.6634871 12.0951315
42.6681075 12.2522111
44.7715512 12.4092908
46.9786901 12.5663704
49.294636 12.72345
51.724753 12.8805297
54.2746694 13.0376093
56.9502911 13.1946889
59.757815 13.3517686
62.7037437 13.5088482
65.7949001 13.6659278
69.0384438 13.8230074
72.441887 13.9800871
76.0131125 14.1371667
79.7603915 14.2942463
83.6924031 14.451326
87.8182543 14.6084056
92.1475008 14.7654852
96.6901696 14.9225649
101.456782 15.0796445
106.458378 15.2367241
111.706542 15.3938037
117.213428 15.5508834
122.991792 15.707963
129.055016 15.8650426
135.417144 16.0221223
142.092911 16.1792019
149.097779 16.3362815
156.447971 16.4933612
164.160511 16.6504408
172.253263 16.8075204
180.74497 16.9646
189.655298 17.1216797
199.004887 17.2787593
208.81539 17.4358389
219.109528 17.5929186
229.911146 17.7499982
241.245259 17.9070778
253.138119 18.0641575
265.61727 18.2212371
278.711617 18.3783167
292.451486 18.5353963
306.8687 18.692476
321.996651 18.8495556
337.870376 19.0066352
354.526642 19.1637149
372.004024 19.3207945
390.343004 19.4778741
409.586054 19.6349538
429.777744 19.7920334
450.96484 19.949113
473.196414 20.1061926
496.523955 20.2632723
521.001492 20.4203519
Table 2: penlinesi.txt (Columns f, g, h extracted from "spiralspread" (264k - detailed) GOLDENSPIRAL.xls
Excel spread sheet). Table 2: penlinesi.txt (Columns f, g, h extracted from "spiralspread"
Excel spread sheet).
X Y Z
0 1.61803389 0
-0.2655943 1.67689667 -5.2291961
-0.5505128 1.6943045 -7.4743169
-0.8486539 1.66557728 -9.2522115
-1.1529257 1.58686622 -10.798121
-1.4553465 1.45534661 -12.20223
-1.7471807 1.26940116 -13.510341
-2.0191092 1.02878766 -14.749396
-2.2614345 0.73478475 -15.936766
-2.464316 0.39030943 -17.084378
-2.6180337 1.40E-07 -18.200797
-2.7132757 -0.4297405 -19.292382
-2.7414421 -0.8907484 -20.363972
-2.6949605 -1.3731508 -21.419313
-2.5676034 -1.8654728 -22.461341
-2.3548002 -2.3547999 -23.492364
-2.0539342 -2.8269974 -24.5142
-1.6646134 -3.2669871 -25.528264
-1.1889067 -3.6590777 -26.535633
-0.631534 -3.9873467 -27.537097
-3.41E-07 -4.2360672 -28.533191
0.69533456 -4.390172 -29.524216
1.44126092 -4.4357463 -30.51026
2.22180435 -4.3605375 -31.491203
3.01839807 -4.1544693 -32.466726
3.8101459 -3.8101466 -33.436307
4.57417758 -3.3233352 -34.399223
5.2860958 -2.693401 -35.354541
5.92051165 -1.9236915 -36.301107
6.45166205 -1.0218436 -37.237532
6.85410024 -7.35E-07 -38.16218
7.10344705 1.12507469 -39.073142
7.17718789 2.33200881 -39.968215
7.05549754 3.59495453 -40.84487
6.72207229 4.88387018 -41.700219
6.1649465 6.16494502 -42.530975
5.37726919 7.40117418 -43.333405
4.35801432 8.55308202 -44.10327
3.11259831 9.57958839 -44.835764
1.65337781 10.4390078 -45.525431
1.49E-06 11.0901664 -46.166071
-1.8204087 11.4936181 -46.75063
-3.773269 11.6129333 -47.271057
-5.8167579 11.4160343 -47.718136
-7.9022672 10.876541 -48.081277
-9.9750897 9.97509262 -48.348246
-11.97535 8.70060409 -48.504832
-13.839176 7.05141521 -48.534405
-15.500099 5.03628996 -48.417333
-16.890668 2.67522178 -48.130197
-17.944265 2.88E-06 -47.644695
-18.597064 -2.9454824 -46.92608
-18.79012 -6.1052766 -45.930834
-18.471531 -9.411711 -44.603056
-17.598612 -12.786136 -42.868551
-16.140038 -16.140033 -40.624419
-14.077873 -19.376522 -37.718982
-11.409429 -22.392256 -33.90766
-8.1488885 -25.079684 -28.734653
-4.3286002 -27.329673 -21.077447
-5.45E-06 -29.034429 0
4.76588953 -30.090679 62.7503537
9.87854355 -30.403051 89.691803
15.2284665 -29.887563 111.026538
20.6883999 -28.475151 129.577452
26.1151191 -26.11513 146.426759
31.3518692 -22.778476 162.124089
36.2314285 -18.460844 176.992747
40.5797789 -13.185179 191.241192
44.2203376 -7.003823 205.012536
46.9786901 -1.01E-05 218.409561
48.6877389 7.71136945 231.508581
49.1931669 15.9838169 244.36766
48.35909 24.6401735 257.031759
46.0737608 33.4745308 269.536087
42.2551658 42.2551466 281.908369
36.8563475 50.7283857 294.170402
29.8702732 58.6236783 306.339162
21.3340679 65.6594568 318.427592
11.3324249 71.5500045 330.445165
1.83E-05 76.0131125 342.39829
-12.477255 78.7784118 354.290596
-25.862355 79.5962117 366.123122
-39.868634 78.2466474 377.89444
-54.162923 74.5489078 389.600708
-68.370257 68.370292 401.235684
-82.080246 59.6348213 412.790681
-94.855097 48.3311169 424.254495
-106.23923 34.5192476 435.613278
-115.77033 18.3362506 446.850384
-122.99179 3.30E-05 457.946161
-127.46614 -20.188618 468.877709
-128.78937 -41.846164 479.618581
-126.60573 -64.508797 490.138437
-120.62266 -87.637442 500.402627
-110.62545 -110.62539 510.371704
-96.491165 -132.80862 520.00086
-78.201389 -153.47876 529.239244
-55.853317 -171.89866 538.029169
-29.66868 -187.32032 546.305168
-5.87E-05 -199.00489 553.992854
32.6658624 -206.24454 561.007562
67.7085054 -208.38557 567.252685
104.377414 -204.85236 572.617635
141.800346 -195.17156 576.975319
178.995625 -178.99574 580.178951
214.888837 -156.12598 582.057989
248.333829 -126.5325 582.412865
278.137862 -90.372567 581.007999
303.090621 -48.004938 577.56236
321.996651 -0.0001035 571.736338
333.710649 52.8544634 563.112963
337.174909 109.554647 551.170006
331.458068 168.886184 535.236675
315.7942 229.437756 514.422612
289.621173 289.620979 487.493028
252.617137 347.697414 452.627781
204.73389 401.812545 406.891919
146.225888 450.036483 344.815837
77.6736288 490.410894 252.92936
0.00018148 521.001492 0