The Magic Encyclopedia ™

Pantriagonal Associative cubes order 4
(by Aale de Winkel)

below a full listing of my 39 regular {pantriagonal associative} cubes order 4, found by my double indexing method. the indexes are listed. The first table lists the summing lines as well as the binary cubes titled with the bisquare description of that cube.
(A listing of the irregular cubes, might be here in some future upload)

binary pan triagonal cubes order 4
3H4 {binary pantriagonal associative magic}
basic summing ines: #0: 0 0 1 1 #1: 0 1 0 1 #2: 0 1 1 0 #3: 1 0 0 1 #4: 1 0 1 0 #5: 1 1 0 0
#01: 00550055
0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0	0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0	1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1	1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1
#02: 01454051
0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0	1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1	0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0	1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1
#03: 02533025
0 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1	1 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0	1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0	0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1
#04: 03522035
0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0	0 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0	1 1 0 0 0 1 1 0 0 0 1 1 1 0 0 1	1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1
#05: 04151054
0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0	0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0	1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1	1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1
#06: 05055050
0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0	1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1	0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0	1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1
#07: 05505005
0 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1	1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0	1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0	0 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1
#08: 10540415
0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0	0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0	1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1	1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1
#09: 11444411
0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0	1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1	0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0	1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1
#10: 14141414
0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0	0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0	1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1	1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1
#11: 14144141
0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0	1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1	0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0	1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1
#12: 15045410
0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0	1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1	0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0	1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1
#13: 20350352
0 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0	0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0	1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1	1 1 0 0 0 1 1 0 0 0 1 1 1 0 0 1
#14: 22333322
0 1 1 0 0 1 1 0 1 0 0 1 1 0 0 1	1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0	1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0	0 1 1 0 0 1 1 0 1 0 0 1 1 0 0 1
#15: 23322332
0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0	0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0	1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1	1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1
#16: 25305302
0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1	1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0	1 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0	0 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1

pan triagonal cubes order 4
3H4 {pantriagonal associative magic}
#01: 00 05 06 08 10 13
00 07 57 62 26 29 35 36 45 42 20 19 55 48 14 09	31 24 38 33 05 02 60 59 50 53 11 12 40 47 17 22	41 46 16 23 51 52 10 13 04 03 61 58 30 25 39 32	54 49 15 08 44 43 21 18 27 28 34 37 01 06 56 63
#02: 00 05 06 08 10 14
00 07 57 62 27 28 34 37 45 42 20 19 54 49 15 08	30 25 39 32 05 02 60 59 51 52 10 13 40 47 17 22	41 46 16 23 50 53 11 12 04 03 61 58 31 24 38 33	55 48 14 09 44 43 21 18 26 29 35 36 01 06 56 63
#03: 00 05 06 09 10 13
00 07 57 62 30 25 39 32 41 46 16 23 55 48 14 09	27 28 34 37 05 02 60 59 50 53 11 12 44 43 21 18	45 42 20 19 51 52 10 13 04 03 61 58 26 29 35 36	54 49 15 08 40 47 17 22 31 24 38 33 01 06 56 63
#04: 00 05 06 09 10 14
00 07 57 62 31 24 38 33 41 46 16 23 54 49 15 08	26 29 35 36 05 02 60 59 51 52 10 13 44 43 21 18	45 42 20 19 50 53 11 12 04 03 61 58 27 28 34 37	55 48 14 09 40 47 17 22 30 25 39 32 01 06 56 63
#05: 00 05 08 10 13 14
00 15 51 60 21 26 38 41 43 36 24 23 62 49 13 02	30 17 45 34 11 04 56 55 53 58 06 09 32 47 19 28	35 44 16 31 54 57 05 10 08 07 59 52 29 18 46 33	61 50 14 01 40 39 27 20 22 25 37 42 03 12 48 63
#06: 00 05 09 10 13 14
00 15 51 60 29 18 46 33 35 44 16 31 62 49 13 02	22 25 37 42 11 04 56 55 53 58 06 09 40 39 27 20	43 36 24 23 54 57 05 10 08 07 59 52 21 26 38 41	61 50 14 01 32 47 19 28 30 17 45 34 03 12 48 63
#07: 00 06 08 09 10 13
00 15 49 62 22 25 39 40 57 54 08 07 47 32 30 17	27 20 42 37 13 02 60 51 34 45 19 28 52 59 05 10	53 58 04 11 35 44 18 29 12 03 61 50 26 21 43 36	46 33 31 16 56 55 09 06 23 24 38 41 01 14 48 63
#08: 00 06 08 09 10 14
00 15 49 62 23 24 38 41 57 54 08 07 46 33 31 16	26 21 43 36 13 02 60 51 35 44 18 29 52 59 05 10	53 58 04 11 34 45 19 28 12 03 61 50 27 20 42 37	47 32 30 17 56 55 09 06 22 25 39 40 01 14 48 63
#09: 00 08 09 10 13 14
00 31 35 60 13 18 46 49 51 44 16 15 62 33 29 02	22 09 53 42 27 04 56 39 37 58 06 25 40 55 11 20	43 52 08 23 38 57 05 26 24 07 59 36 21 10 54 41	61 34 30 01 48 47 19 12 14 17 45 50 03 28 32 63
#10: 01 04 06 07 10 13
00 07 57 62 26 41 23 36 45 30 32 19 55 48 14 09	43 24 38 21 05 02 60 59 50 53 11 12 28 47 17 34	29 46 16 35 51 52 10 13 04 03 61 58 42 25 39 20	54 49 15 08 44 31 33 18 27 40 22 37 01 06 56 63
#11: 01 04 06 07 10 14
00 07 57 62 27 40 22 37 45 30 32 19 54 49 15 08	42 25 39 20 05 02 60 59 51 52 10 13 28 47 17 34	29 46 16 35 50 53 11 12 04 03 61 58 43 24 38 21	55 48 14 09 44 31 33 18 26 41 23 36 01 06 56 63
#12: 01 04 06 10 11 13
00 07 57 62 30 43 21 32 41 28 34 23 55 48 14 09	47 26 36 17 03 04 58 61 52 51 13 10 24 45 19 38	25 44 18 39 53 50 12 11 02 05 59 60 46 27 37 16	54 49 15 08 40 29 35 22 31 42 20 33 01 06 56 63
#13: 01 04 06 10 11 14
00 07 57 62 31 42 20 33 41 28 34 23 54 49 15 08	46 27 37 16 03 04 58 61 53 50 12 11 24 45 19 38	25 44 18 39 52 51 13 10 02 05 59 60 47 26 36 17	55 48 14 09 40 29 35 22 30 43 21 32 01 06 56 63
#14: 01 04 07 10 13 14
00 15 51 60 21 34 30 41 43 28 32 23 62 49 13 02	38 17 45 26 11 04 56 55 53 58 06 09 24 47 19 36	27 44 16 39 54 57 05 10 08 07 59 52 37 18 46 25	61 50 14 01 40 31 35 20 22 33 29 42 03 12 48 63
#15: 01 04 10 11 13 14
00 15 51 60 29 38 26 33 35 24 36 31 62 49 13 02	46 21 41 18 07 08 52 59 57 54 10 05 16 43 23 44	19 40 20 47 58 53 09 06 04 11 55 56 45 22 42 17	61 50 14 01 32 27 39 28 30 37 25 34 03 12 48 63
#16: 01 06 07 10 11 13
00 15 49 62 22 51 13 40 57 28 34 07 47 32 30 17	55 18 44 09 11 04 58 53 36 43 21 26 24 61 03 38	25 60 02 39 37 42 20 27 10 05 59 52 54 19 45 08	46 33 31 16 56 29 35 06 23 50 12 41 01 14 48 63
#17: 01 06 07 10 11 14
00 15 49 62 23 50 12 41 57 28 34 07 46 33 31 16	54 19 45 08 11 04 58 53 37 42 20 27 24 61 03 38	25 60 02 39 36 43 21 26 10 05 59 52 55 18 44 09	47 32 30 17 56 29 35 06 22 51 13 40 01 14 48 63
#18: 01 07 10 11 13 14
00 31 35 60 13 38 26 49 51 24 36 15 62 33 29 02	46 05 57 18 23 08 52 43 41 54 10 21 16 59 07 44	19 56 04 47 42 53 09 22 20 11 55 40 45 06 58 17	61 34 30 01 48 27 39 12 14 37 25 50 03 28 32 63
#19: 02 03 05 08 10 12
00 07 57 62 26 44 35 21 53 50 12 11 47 25 22 32	46 24 23 33 05 02 60 59 27 45 34 20 48 55 09 14	49 54 08 15 43 29 18 36 04 03 61 58 30 40 39 17	31 41 38 16 52 51 13 10 42 28 19 37 01 06 56 63
#20: 02 03 05 08 10 15
00 07 57 62 27 45 34 20 53 50 12 11 46 24 23 33	47 25 22 32 05 02 60 59 26 44 35 21 48 55 09 14	49 54 08 15 42 28 19 37 04 03 61 58 31 41 38 16	30 40 39 17 52 51 13 10 43 29 18 36 01 06 56 63
#21: 02 03 05 09 10 12
00 07 57 62 30 40 39 17 49 54 08 15 47 25 22 32	42 28 19 37 05 02 60 59 27 45 34 20 52 51 13 10	53 50 12 11 43 29 18 36 04 03 61 58 26 44 35 21	31 41 38 16 48 55 09 14 46 24 23 33 01 06 56 63
#22: 02 03 05 09 10 15
00 07 57 62 31 41 38 16 49 54 08 15 46 24 23 33	43 29 18 36 05 02 60 59 26 44 35 21 52 51 13 10	53 50 12 11 42 28 19 37 04 03 61 58 27 45 34 20	30 40 39 17 48 55 09 14 47 25 22 32 01 06 56 63
#23: 02 03 08 09 10 12
00 15 49 62 22 40 39 25 57 54 08 07 47 17 30 32	42 20 27 37 13 02 60 51 19 45 34 28 52 59 05 10	53 58 04 11 35 29 18 44 12 03 61 50 26 36 43 21	31 33 46 16 56 55 09 06 38 24 23 41 01 14 48 63
#24: 02 03 08 09 10 15
00 15 49 62 23 41 38 24 57 54 08 07 46 16 31 33	43 21 26 36 13 02 60 51 18 44 35 29 52 59 05 10	53 58 04 11 34 28 19 45 12 03 61 50 27 37 42 20	30 32 47 17 56 55 09 06 39 25 22 40 01 14 48 63
#25: 02 05 08 10 12 15
00 15 51 60 21 57 38 10 43 36 24 23 62 18 13 33	61 17 14 34 11 04 56 55 22 58 37 09 32 47 19 28	35 44 16 31 54 26 05 41 08 07 59 52 29 49 46 02	30 50 45 01 40 39 27 20 53 25 06 42 03 12 48 63
#26: 02 05 09 10 12 15
00 15 51 60 29 49 46 02 35 44 16 31 62 18 13 33	53 25 06 42 11 04 56 55 22 58 37 09 40 39 27 20	43 36 24 23 54 26 05 41 08 07 59 52 21 57 38 10	30 50 45 01 32 47 19 28 61 17 14 34 03 12 48 63
#27: 02 08 09 10 12 15
00 31 35 60 13 49 46 18 51 44 16 15 62 02 29 33	53 09 22 42 27 04 56 39 06 58 37 25 40 55 11 20	43 52 08 23 38 26 05 57 24 07 59 36 21 41 54 10	30 34 61 01 48 47 19 12 45 17 14 50 03 28 32 63
#28: 03 05 08 10 12 15
00 15 51 60 53 25 06 42 43 36 24 23 30 50 45 01	29 49 46 02 11 04 56 55 54 26 05 41 32 47 19 28	35 44 16 31 22 58 37 09 08 07 59 52 61 17 14 34	62 18 13 33 40 39 27 20 21 57 38 10 03 12 48 63
#29: 03 05 09 10 12 15
00 15 51 60 61 17 14 34 35 44 16 31 30 50 45 01	21 57 38 10 11 04 56 55 54 26 05 41 40 39 27 20	43 36 24 23 22 58 37 09 08 07 59 52 53 25 06 42	62 18 13 33 32 47 19 28 29 49 46 02 03 12 48 63
#30: 03 08 09 10 12 15
00 31 35 60 45 17 14 50 51 44 16 15 30 34 61 01	21 41 54 10 27 04 56 39 38 26 05 57 40 55 11 20	43 52 08 23 06 58 37 25 24 07 59 36 53 09 22 42	62 02 29 33 48 47 19 12 13 49 46 18 03 28 32 63
#31: 04 06 07 10 11 13
00 15 49 62 54 19 45 08 25 60 02 39 47 32 30 17	23 50 12 41 11 04 58 53 36 43 21 26 56 29 35 06	57 28 34 07 37 42 20 27 10 05 59 52 22 51 13 40	46 33 31 16 24 61 03 38 55 18 44 09 01 14 48 63
#32: 04 06 07 10 11 14
00 15 49 62 55 18 44 09 25 60 02 39 46 33 31 16	22 51 13 40 11 04 58 53 37 42 20 27 56 29 35 06	57 28 34 07 36 43 21 26 10 05 59 52 23 50 12 41	47 32 30 17 24 61 03 38 54 19 45 08 01 14 48 63
#33: 04 07 10 11 13 14
00 31 35 60 45 06 58 17 19 56 04 47 62 33 29 02	14 37 25 50 23 08 52 43 41 54 10 21 48 27 39 12	51 24 36 15 42 53 09 22 20 11 55 40 13 38 26 49	61 34 30 01 16 59 07 44 46 05 57 18 03 28 32 63
#34: 05 06 08 09 10 13
00 15 49 62 54 57 07 08 25 22 40 39 47 32 30 17	59 52 10 05 13 02 60 51 34 45 19 28 20 27 37 42	21 26 36 43 35 44 18 29 12 03 61 50 58 53 11 04	46 33 31 16 24 23 41 38 55 56 06 09 01 14 48 63
#35: 05 06 08 09 10 14
00 15 49 62 55 56 06 09 25 22 40 39 46 33 31 16	58 53 11 04 13 02 60 51 35 44 18 29 20 27 37 42	21 26 36 43 34 45 19 28 12 03 61 50 59 52 10 05	47 32 30 17 24 23 41 38 54 57 07 08 01 14 48 63
#36: 05 06 08 10 13 14
00 15 51 60 53 58 06 09 27 20 40 39 46 33 29 18	62 49 13 02 11 04 56 55 37 42 22 25 16 31 35 44	19 28 32 47 38 41 21 26 08 07 59 52 61 50 14 01	45 34 30 17 24 23 43 36 54 57 05 10 03 12 48 63
#37: 05 06 09 10 13 14
00 15 51 60 61 50 14 01 19 28 32 47 46 33 29 18	54 57 05 10 11 04 56 55 37 42 22 25 24 23 43 36	27 20 40 39 38 41 21 26 08 07 59 52 53 58 06 09	45 34 30 17 16 31 35 44 62 49 13 02 03 12 48 63
#38: 05 08 09 10 13 14
00 31 35 60 45 50 14 17 19 12 48 47 62 33 29 02	54 41 21 10 27 04 56 39 37 58 06 25 08 23 43 52	11 20 40 55 38 57 05 26 24 07 59 36 53 42 22 09	61 34 30 01 16 15 51 44 46 49 13 18 03 28 32 63
#39: 06 08 09 10 13 14
00 31 35 60 45 50 14 17 51 44 16 15 30 01 61 34	54 41 21 10 27 04 56 39 05 26 38 57 40 55 11 20	43 52 08 23 06 25 37 58 24 07 59 36 53 42 22 09	29 02 62 33 48 47 19 12 46 49 13 18 03 28 32 63