The Magic Encyclopedia ™ DataBase

Pan n-agonal hypercubes order 4
(by Aale de Winkel)

The Pan n-agonal Transform allows the construction of orders 4k pan n-agonal hypercubes here an assorted listing of these kind of object for order 4 through the various dimensions

pan diagonal squares order 4
²H₄ {complete compact pandiagonal magic}
Pan(²N₄)

01 15 04 14
12 06 09 07
13 03 16 02
08 10 05 11 Pan(²N₂²N₂)

01 15 06 12
14 04 09 07
11 05 16 02
08 10 03 13 Pan(²N₂²N₂^t)

01 14 07 12
15 04 09 06
10 05 16 03
08 11 02 13

The following cubes where generated by program and are all in the analitic number range.

pan triagonal cubes order 4
³H₄ {complete compact pantriagonal magic}
Pan(³N₄)
00 62 03 61
59 05 56 06
12 50 15 49
55 09 52 10
47 17 44 18
20 42 23 41
35 29 32 30
24 38 27 37
48 14 51 13
11 53 08 54
60 02 63 01
07 57 04 58
31 33 28 34
36 26 39 25
19 45 16 46
40 22 43 21

Pan(³N₂ ³N₂)
00 62 09 55
61 03 52 10
18 44 27 37
47 17 38 24
59 05 50 12
06 56 15 49
41 23 32 30
20 42 29 35
36 26 45 19
25 39 16 46
54 08 63 01
11 53 02 60
31 33 22 40
34 28 43 21
13 51 04 58
48 14 57 07

Pan(³N₂ ³N₂^{^[0,2,1]})
00 59 12 55
61 06 49 10
18 41 30 37
47 20 35 24
62 05 50 09
03 56 15 52
44 23 32 27
17 42 29 38
33 26 45 22
28 39 16 43
51 08 63 04
14 53 02 57
31 36 19 40
34 25 46 21
13 54 01 58
48 11 60 07

Pan(³N₂ ³N₂^{^[1,0,2]})
00 61 10 55
62 03 52 09
17 44 27 38
47 18 37 24
59 06 49 12
05 56 15 50
42 23 32 29
20 41 30 35
36 25 46 19
26 39 16 45
53 08 63 02
11 54 01 60
31 34 21 40
33 28 43 22
14 51 04 57
48 13 58 07

Pan(³N₂ ³N₂^{^[1,2,0]})
00 61 10 55
59 06 49 12
20 41 30 35
47 18 37 24
62 03 52 09
05 56 15 50
42 23 32 29
17 44 27 38
33 28 43 22
26 39 16 45
53 08 63 02
14 51 04 57
31 34 21 40
36 25 46 19
11 54 01 60
48 13 58 07

Pan(³N₂ ³N₂^{^[2,0,1]})
00 59 12 55
62 05 50 09
17 42 29 38
47 20 35 24
61 06 49 10
03 56 15 52
44 23 32 27
18 41 30 37
34 25 46 21
28 39 16 43
51 08 63 04
13 54 01 58
31 36 19 40
33 26 45 22
14 53 02 57
48 11 60 07

Pan(³N₂ ³N₂^{^[2,1,0]})
00 62 09 55
59 05 50 12
20 42 29 35
47 17 38 24
61 03 52 10
06 56 15 49
41 23 32 30
18 44 27 37
34 28 43 21
25 39 16 46
54 08 63 01
13 51 04 58
31 33 22 40
36 26 45 19
11 53 02 60
48 14 57 07

pan diagonal squares order 4
²H₄ {complete compact pandiagonal magic}
Pan(²N₄) 01 15 04 14 12 06 09 07 13 03 16 02 08 10 05 11	Pan(²N₂²N₂) 01 15 06 12 14 04 09 07 11 05 16 02 08 10 03 13	Pan(²N₂²N₂^t) 01 14 07 12 15 04 09 06 10 05 16 03 08 11 02 13

pan triagonal cubes order 4
³H₄ {complete compact pantriagonal magic}
Pan(³N₄)
00 62 03 61 59 05 56 06 12 50 15 49 55 09 52 10	47 17 44 18 20 42 23 41 35 29 32 30 24 38 27 37	48 14 51 13 11 53 08 54 60 02 63 01 07 57 04 58	31 33 28 34 36 26 39 25 19 45 16 46 40 22 43 21
Pan(³N₂ ³N₂)
00 62 09 55 61 03 52 10 18 44 27 37 47 17 38 24	59 05 50 12 06 56 15 49 41 23 32 30 20 42 29 35	36 26 45 19 25 39 16 46 54 08 63 01 11 53 02 60	31 33 22 40 34 28 43 21 13 51 04 58 48 14 57 07
Pan(³N₂ ³N₂^{^[0,2,1]})
00 59 12 55 61 06 49 10 18 41 30 37 47 20 35 24	62 05 50 09 03 56 15 52 44 23 32 27 17 42 29 38	33 26 45 22 28 39 16 43 51 08 63 04 14 53 02 57	31 36 19 40 34 25 46 21 13 54 01 58 48 11 60 07
Pan(³N₂ ³N₂^{^[1,0,2]})
00 61 10 55 62 03 52 09 17 44 27 38 47 18 37 24	59 06 49 12 05 56 15 50 42 23 32 29 20 41 30 35	36 25 46 19 26 39 16 45 53 08 63 02 11 54 01 60	31 34 21 40 33 28 43 22 14 51 04 57 48 13 58 07
Pan(³N₂ ³N₂^{^[1,2,0]})
00 61 10 55 59 06 49 12 20 41 30 35 47 18 37 24	62 03 52 09 05 56 15 50 42 23 32 29 17 44 27 38	33 28 43 22 26 39 16 45 53 08 63 02 14 51 04 57	31 34 21 40 36 25 46 19 11 54 01 60 48 13 58 07
Pan(³N₂ ³N₂^{^[2,0,1]})
00 59 12 55 62 05 50 09 17 42 29 38 47 20 35 24	61 06 49 10 03 56 15 52 44 23 32 27 18 41 30 37	34 25 46 21 28 39 16 43 51 08 63 04 13 54 01 58	31 36 19 40 33 26 45 22 14 53 02 57 48 11 60 07
Pan(³N₂ ³N₂^{^[2,1,0]})
00 62 09 55 59 05 50 12 20 42 29 35 47 17 38 24	61 03 52 10 06 56 15 49 41 23 32 30 18 44 27 37	34 28 43 21 25 39 16 46 54 08 63 01 13 51 04 58	31 33 22 40 36 26 45 19 11 53 02 60 48 14 57 07