BBS-ISL Matrix: 50x50 All numbers are related — even the ones that are "not." ©2017, Reginald Brooks, Brooks Design. All rights reserved. Zoom-OUT to shrink. Searchable.
0
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
1
1
3
8
15
24
35
48
63
80
99
120
143
168
195
224
255
288
323
360
399
440
483
528
575
624
675
728
783
840
899
960
1023
1088
1155
1224
1295
1368
1443
1520
1599
1680
1763
1848
1935
2024
2115
2208
2303
2400
2499
2
3
4
5
12
21
32
45
60
77
96
117
140
165
192
221
252
285
320
357
396
437
480
525
572
621
672
725
780
837
896
957
1020
1085
1152
1221
1292
1365
1440
1517
1596
1677
1760
1845
1932
2021
2112
2205
2300
2397
2496
3
8
5
9
7
16
27
40
55
72
91
112
135
160
187
216
247
280
315
352
391
432
475
520
567
616
667
720
775
832
891
952
1015
1080
1147
1216
1287
1360
1435
1512
1591
1672
1755
1840
1927
2016
2107
2200
2295
2392
2491
4
15
12
7
16
9
20
33
48
65
84
105
128
153
180
209
240
273
308
345
384
425
468
513
560
609
660
713
768
825
884
945
1008
1073
1140
1209
1280
1353
1428
1505
1584
1665
1748
1833
1920
2009
2100
2193
2288
2385
2484
5
24
21
16
9
25
11
24
39
56
75
96
119
144
171
200
231
264
299
336
375
416
459
504
551
600
651
704
759
816
875
936
999
1064
1131
1200
1271
1344
1419
1496
1575
1656
1739
1824
1911
2000
2091
2184
2279
2376
2475
6
35
32
27
20
11
36
13
28
45
64
85
108
133
160
189
220
253
288
325
364
405
448
493
540
589
640
693
748
805
864
925
988
1053
1120
1189
1260
1333
1408
1485
1564
1645
1728
1813
1900
1989
2080
2173
2268
2365
2464
7
48
45
40
33
24
13
49
15
32
51
72
95
120
147
176
207
240
275
312
351
392
435
480
527
576
627
680
735
792
851
912
975
1040
1107
1176
1247
1320
1395
1472
1551
1632
1715
1800
1887
1976
2067
2160
2255
2352
2451
8
63
60
55
48
39
28
15
64
17
36
57
80
105
132
161
192
225
260
297
336
377
420
465
512
561
612
665
720
777
836
897
960
1025
1092
1161
1232
1305
1380
1457
1536
1617
1700
1785
1872
1961
2052
2145
2240
2337
2436
9
80
77
72
65
56
45
32
17
81
19
40
63
88
115
144
175
208
243
280
319
360
403
448
495
544
595
648
703
760
819
880
943
1008
1075
1144
1215
1288
1363
1440
1519
1600
1683
1768
1855
1944
2035
2128
2223
2320
2419
10
99
96
91
84
75
64
51
36
19
100
21
44
69
96
125
156
189
224
261
300
341
384
429
476
525
576
629
684
741
800
861
924
989
1056
1125
1196
1269
1344
1421
1500
1581
1664
1749
1836
1925
2016
2109
2204
2301
2400
11
120
117
112
105
96
85
72
57
40
21
121
23
48
75
104
135
168
203
240
279
320
363
408
455
504
555
608
663
720
779
840
903
968
1035
1104
1175
1248
1323
1400
1479
1560
1643
1728
1815
1904
1995
2088
2183
2280
2379
12
143
140
135
128
119
108
95
80
63
44
23
144
25
52
81
112
145
180
217
256
297
340
385
432
481
532
585
640
697
756
817
880
945
1012
1081
1152
1225
1300
1377
1456
1537
1620
1705
1792
1881
1972
2065
2160
2257
2356
13
168
165
160
153
144
133
120
105
88
69
48
25
169
27
56
87
120
155
192
231
272
315
360
407
456
507
560
615
672
731
792
855
920
987
1056
1127
1200
1275
1352
1431
1512
1595
1680
1767
1856
1947
2040
2135
2232
2331
14
195
192
187
180
171
160
147
132
115
96
75
52
27
196
29
60
93
128
165
204
245
288
333
380
429
480
533
588
645
704
765
828
893
960
1029
1100
1173
1248
1325
1404
1485
1568
1653
1740
1829
1920
2013
2108
2205
2304
15
224
221
216
209
200
189
176
161
144
125
104
81
56
29
225
31
64
99
136
175
216
259
304
351
400
451
504
559
616
675
736
799
864
931
1000
1071
1144
1219
1296
1375
1456
1539
1624
1711
1800
1891
1984
2079
2176
2275
16
255
252
247
240
231
220
207
192
175
156
135
112
87
60
31
256
33
68
105
144
185
228
273
320
369
420
473
528
585
644
705
768
833
900
969
1040
1113
1188
1265
1344
1425
1508
1593
1680
1769
1860
1953
2048
2145
2244
17
288
285
280
273
264
253
240
225
208
189
168
145
120
93
64
33
289
35
72
111
152
195
240
287
336
387
440
495
552
611
672
735
800
867
936
1007
1080
1155
1232
1311
1392
1475
1560
1647
1736
1827
1920
2015
2112
2211
18
323
320
315
308
299
288
275
260
243
224
203
180
155
128
99
68
35
324
37
76
117
160
205
252
301
352
405
460
517
576
637
700
765
832
901
972
1045
1120
1197
1276
1357
1440
1525
1612
1701
1792
1885
1980
2077
2176
19
360
357
352
345
336
325
312
297
280
261
240
217
192
165
136
105
72
37
361
39
80
123
168
215
264
315
368
423
480
539
600
663
728
795
864
935
1008
1083
1160
1239
1320
1403
1488
1575
1664
1755
1848
1943
2040
2139
20
399
396
391
384
375
364
351
336
319
300
279
256
231
204
175
144
111
76
39
400
41
84
129
176
225
276
329
384
441
500
561
624
689
756
825
896
969
1044
1121
1200
1281
1364
1449
1536
1625
1716
1809
1904
2001
2100
21
440
437
432
425
416
405
392
377
360
341
320
297
272
245
216
185
152
117
80
41
441
43
88
135
184
235
288
343
400
459
520
583
648
715
784
855
928
1003
1080
1159
1240
1323
1408
1495
1584
1675
1768
1863
1960
2059
22
483
480
475
468
459
448
435
420
403
384
363
340
315
288
259
228
195
160
123
84
43
484
45
92
141
192
245
300
357
416
477
540
605
672
741
812
885
960
1037
1116
1197
1280
1365
1452
1541
1632
1725
1820
1917
2016
23
528
525
520
513
504
493
480
465
448
429
408
385
360
333
304
273
240
205
168
129
88
45
529
47
96
147
200
255
312
371
432
495
560
627
696
767
840
915
992
1071
1152
1235
1320
1407
1496
1587
1680
1775
1872
1971
24
575
572
567
560
551
540
527
512
495
476
455
432
407
380
351
320
287
252
215
176
135
92
47
576
49
100
153
208
265
324
385
448
513
580
649
720
793
868
945
1024
1105
1188
1273
1360
1449
1540
1633
1728
1825
1924
25
624
621
616
609
600
589
576
561
544
525
504
481
456
429
400
369
336
301
264
225
184
141
96
49
625
51
104
159
216
275
336
399
464
531
600
671
744
819
896
975
1056
1139
1224
1311
1400
1491
1584
1679
1776
1875
26
675
672
667
660
651
640
627
612
595
576
555
532
507
480
451
420
387
352
315
276
235
192
147
100
51
676
53
108
165
224
285
348
413
480
549
620
693
768
845
924
1005
1088
1173
1260
1349
1440
1533
1628
1725
1824
27
728
725
720
713
704
693
680
665
648
629
608
585
560
533
504
473
440
405
368
329
288
245
200
153
104
53
729
55
112
171
232
295
360
427
496
567
640
715
792
871
952
1035
1120
1207
1296
1387
1480
1575
1672
1771
28
783
780
775
768
759
748
735
720
703
684
663
640
615
588
559
528
495
460
423
384
343
300
255
208
159
108
55
784
57
116
177
240
305
372
441
512
585
660
737
816
897
980
1065
1152
1241
1332
1425
1520
1617
1716
29
840
837
832
825
816
805
792
777
760
741
720
697
672
645
616
585
552
517
480
441
400
357
312
265
216
165
112
57
841
59
120
183
248
315
384
455
528
603
680
759
840
923
1008
1095
1184
1275
1368
1463
1560
1659
30
899
896
891
884
875
864
851
836
819
800
779
756
731
704
675
644
611
576
539
500
459
416
371
324
275
224
171
116
59
900
61
124
189
256
325
396
469
544
621
700
781
864
949
1036
1125
1216
1309
1404
1501
1600
31
960
957
952
945
936
925
912
897
880
861
840
817
792
765
736
705
672
637
600
561
520
477
432
385
336
285
232
177
120
61
961
63
128
195
264
335
408
483
560
639
720
803
888
975
1064
1155
1248
1343
1440
1539
32
1023
1020
1015
1008
999
988
975
960
943
924
903
880
855
828
799
768
735
700
663
624
583
540
495
448
399
348
295
240
183
124
63
1024
65
132
201
272
345
420
497
576
657
740
825
912
1001
1092
1185
1280
1377
1476
33
1088
1085
1080
1073
1064
1053
1040
1025
1008
989
968
945
920
893
864
833
800
765
728
689
648
605
560
513
464
413
360
305
248
189
128
65
1089
67
136
207
280
355
432
511
592
675
760
847
936
1027
1120
1215
1312
1411
34
1155
1152
1147
1140
1131
1120
1107
1092
1075
1056
1035
1012
987
960
931
900
867
832
795
756
715
672
627
580
531
480
427
372
315
256
195
132
67
1156
69
140
213
288
365
444
525
608
693
780
869
960
1053
1148
1245
1344
35
1224
1221
1216
1209
1200
1189
1176
1161
1144
1125
1104
1081
1056
1029
1000
969
936
901
864
825
784
741
696
649
600
549
496
441
384
325
264
201
136
69
1225
71
144
219
296
375
456
539
624
711
800
891
984
1079
1176
1275
36
1295
1292
1287
1280
1271
1260
1247
1232
1215
1196
1175
1152
1127
1100
1071
1040
1007
972
935
896
855
812
767
720
671
620
567
512
455
396
335
272
207
140
71
1296
73
148
225
304
385
468
553
640
729
820
913
1008
1105
1204
37
1368
1365
1360
1353
1344
1333
1320
1305
1288
1269
1248
1225
1200
1173
1144
1113
1080
1045
1008
969
928
885
840
793
744
693
640
585
528
469
408
345
280
213
144
73
1369
75
152
231
312
395
480
567
656
747
840
935
1032
1131
38
1443
1440
1435
1428
1419
1408
1395
1380
1363
1344
1323
1300
1275
1248
1219
1188
1155
1120
1083
1044
1003
960
915
868
819
768
715
660
603
544
483
420
355
288
219
148
75
1444
77
156
237
320
405
492
581
672
765
860
957
1056
39
1520
1517
1512
1505
1496
1485
1472
1457
1440
1421
1400
1377
1352
1325
1296
1265
1232
1197
1160
1121
1080
1037
992
945
896
845
792
737
680
621
560
497
432
365
296
225
152
77
1521
79
160
243
328
415
504
595
688
783
880
979
40
1599
1596
1591
1584
1575
1564
1551
1536
1519
1500
1479
1456
1431
1404
1375
1344
1311
1276
1239
1200
1159
1116
1071
1024
975
924
871
816
759
700
639
576
511
444
375
304
231
156
79
1600
81
164
249
336
425
516
609
704
801
900
41
1680
1677
1672
1665
1656
1645
1632
1617
1600
1581
1560
1537
1512
1485
1456
1425
1392
1357
1320
1281
1240
1197
1152
1105
1056
1005
952
897
840
781
720
657
592
525
456
385
312
237
160
81
1681
83
168
255
344
435
528
623
720
819
42
1763
1760
1755
1748
1739
1728
1715
1700
1683
1664
1643
1620
1595
1568
1539
1508
1475
1440
1403
1364
1323
1280
1235
1188
1139
1088
1035
980
923
864
803
740
675
608
539
468
395
320
243
164
83
1764
85
172
261
352
445
540
637
736
43
1848
1845
1840
1833
1824
1813
1800
1785
1768
1749
7028
1705
1680
1653
1624
1593
1560
1525
1488
1449
1408
1365
1320
1273
1224
1173
1120
1065
1008
949
888
825
760
693
624
553
480
405
328
249
168
85
1849
87
176
267
360
455
552
651
44
1935
1932
1927
1920
1911
1900
1887
1872
1855
1836
1815
1792
1767
1740
1711
1680
1647
1612
1575
1536
1495
1452
1407
1360
1311
1260
1207
1152
1095
1036
975
912
847
780
711
640
567
492
415
336
255
172
87
1936
89
180
273
368
465
564
45
2024
2021
2016
2009
2000
1989
1976
1961
1944
1925
1904
1881
1856
1829
1800
1769
1736
1701
1664
1625
1584
1541
1496
1449
1400
1349
1296
1241
1184
1125
1064
1001
936
869
800
729
656
581
504
425
344
261
176
89
2025
91
184
279
376
475
46
2115
2112
2107
2100
2091
2080
2067
2052
2035
2016
1995
1972
1947
1920
1891
1860
1827
1792
1755
1716
1675
1632
1587
1540
1491
1440
1387
1332
1275
1216
1155
1092
1027
960
891
820
747
672
595
516
435
352
267
180
91
2116
93
188
285
384
47
2208
2205
2200
2193
2184
2173
2160
2145
2128
2109
2088
2065
2040
2013
1984
1953
1920
1885
1848
1809
1768
1725
1680
1633
1584
1533
1480
1425
1368
1309
1248
1185
1120
1053
984
913
840
765
688
609
528
445
360
273
184
93
2209
95
192
291
48
2303
2300
2295
2288
2279
2268
2255
2240
2223
2204
2183
2160
2135
2108
2079
2048
2015
1980
1943
1904
1863
1820
1775
1728
1679
1628
1575
1520
1463
1404
1343
1280
1215
1148
1079
1008
935
860
783
704
623
540
455
368
279
188
95
2304
97
196
49
2400
2397
2392
2385
2376
2365
2352
2337
2320
2301
2280
2257
2232
2205
2176
2145
2112
2077
2040
2001
1960
1917
1872
1825
1776
1725
1672
1617
1560
1501
1440
1377
1312
1245
1176
1105
1032
957
880
801
720
637
552
465
376
285
192
97
2401
99
50
2499
2496
2491
2484
2475
2464
2451
2436
2419
2400
2379
2356
2331
2304
2275
2244
2211
2176
2139
2100
2059
2016
1971
1924
1875
1824
1771
1716
1659
1600
1539
1476
1411
1344
1275
1204
1131
1056
979
900
819
736
651
564
475
384
291
196
99
2500

White papers (freely available):

Works on pure mathematics include:

PIN: Pattern in Number…from primes to DNA (2001).

Butterfly Primes series (2005, 2006, 2006).

GoDNA: the Geometry of DNA (2001).

GoMAS: The Geometry of Music, Art and Structure…linking science, art and esthetics (1987, 1996, 1998, 2009) with parts II and III (2012).

Brooks (Base) Square (BS): The Architecture of Space-Time (TOAST) and The Conspicuous Absence of Primes (TCAOP) - the complete work (Rules 1–177) (2009, 2010, 2011, 2012).

Brooks (Base) Square interactive (BBSi) Matrix: Part I: Basics (2011, 2013).

The Architecture of SpaceTime (TAOST) as defined by the Brooks (Base) Square Matrix and the Inverse Square Law (ISL) (2011).

Numbers Of Inevitability (2012).

AFPOP: A Fresh Piece of Pi(e)…and the √2, too…Fractal-Fractal-Fractal (2012).

The BBS-ISL Matrix papers, videos, slideshows, etc. all culminated in MathspeedST (2013) an interactive iBook, published in the iTunes iBooks Store. Free. Most of the white papers are freely available.

TPISC I: Basics: The Pythagorean - Inverse Square Connection – a MathspeedST Supplement (2015) an interactive iBook, published in the iTunes iBooks Store. Free. Most of the white papers are freely available.

TPISC II: Advanced: The Pythagorean - Inverse Square Connection – a MathspeedST Supplement (2015) an interactive iBook, published in the iTunes iBooks Store. Most of the white papers are freely available.

TPISC III: Simplification: The Pythagorean - Inverse Square Connection – a MathspeedST Supplement, Return to Basics – and then some (in progress, 2016–17).

Images

Highlight Interactive BBS-ISL Matrix at:

BBS-ISL_Matrix10x10_TableRowColHighlight.html

BBS-ISL_Matrix20x20_TableRowColHighlight.html

BBS-ISL_Matrix35x35_TableRowColHighlight.html

BBS-ISL_Matrix35x35-LARGE_TableRowColHighlight.html

BBS-ISL_Matrix50x50-LARGE-Highlight.html

BBS-ISL_Matrix50x50-LARGE.html



BBS-ISL & TPISC Resources at:

MSST-TPISC_resources/netart19.htm


BBS-ISL & TPISC Media Center at:

MediaCenter_MSST-TPISC_resources.html


Interactive Matrix pages at:

BBS-ISLi.html

BBS/BBSiI.html

Brooks (Base) Square matrix (BBS) interactive BBS-ISL hands-on matrix grids

BBS-ISL_Matrix: Simplified.html


*****

Find Row-Col Axis number of Any IG number:

BBS_FindRow-Col_Any_IG_number.pdf

BBS_FindRow-Col_Any_IG_number.html


Find Row-Col Axis number of Any IG number:

BBS_ToFindRow-ColAnyIGnumber.pdf

BBS_ToFindRow-ColAnyIGnumber.html

BBS_ToFindRow-ColAnyIGnumber-MARP.pdf


BBS-ISL_IGGR_TPISC_fundamental_rules:

BBS-ISL_IGGR_TPISC_rules.html

BBS-ISL_IGGR_TPISC_rules.pdf

BBS-ISL_IGGR_TPISC_rulesMARP.pdf


BBS-ISL_Matrix_Overview Slideshow:

BBS-ISL_Matrix_Overview_MARP.pdf


Simple Visual Guide to making a BBS-ISL Matrix:

BBS-ISL10x10+.html


Simple Highlight Table Row/Col:

highlightTableRowCol_BBBS-ISL.html

highlightTableRowCol_BBBS-ISL10x.html

highlightTableRowCol_BBBS-ISL20x.html



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Images

BBS10bk-0-j.png



KEYWORDS TAGS: TPISC, The Pythagorean - Inverse Square Connections, Pythagorean Triangles, Pythagorean Triples, primitive Pythagorean Triples, non-primitive Pythagorean Triples, Pythagorean Theorem, Pythagorus Theorem, The Dickson Method, BBS-ISL Matrix, Expanded Dickson Method, r-sets, s-set, t-sets, Pair-sets, geometric proofs, MathspeedST, leapfrogging LightspeedST FASTER than the speed of light, Brooks (Base) Square- Inverse Square Law (ISL), BBS-ISL Matrix grid, The Architecture Of SpaceTime (TAOST), The Conspicuous Absence Of Primes (TCAOP), A Fresh Piece Of Pi(e), AFPOP, Numbers of Inevitability, LightspeedST, Teachers, Educators and Students (TES), number theory, ubiquitous information, FASTER than the speed of light, primes, prime numbers, fractals, mathematics, Universe, cosmos, patterns in number.

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