The Magic Encyclopedia ™ DataBase

Knightjump cubes order 4
 (by Aale de Winkel)

A rather hefty discussion between <Awani Kumar> <Francis Gaspalou> and myself resulted in the discovery of 12 new magic knightjump tours by Francis and a further 8 by Awani. Transforming them thus that the lowest possible normal positioned lined up into 39 Primary cubes. Listed below in sequential order for future reference labeled with a KTP number. Also the derived cubes are labeled with a KTC (KnightTourCube) number. But note upon find of new cubes both KTP numbers and KTC numbers might change
End of May one KTP more found by Francis and two from Awani makes 32 KTP's and 116 KTC's. A further bunch of cubes from Francis arrived June 1 and June 28 in my mailbox and makes up the total of 39 Ktp's giving 136 KTC's

Primary knightjump cubes order 4
filtering through all currently known (June 02 2009) order 4 knightjump cubes, and putting them in normalized position
39 cubes can be concidered as primary cubes from which a total of 136 cubes can be found by restarting the knightjumptour
further up the tour itself, as well as taking the complement of these cubes. All 136 cubes are found in the table below
this table hold merely the 39 primary knightjump cubes and the historic notation the listed cubes derived from
KTP00: Awani Kumar 2006
KTP01: Awani Kumar 2006
00 19 46 61
27 08 53 38
44 63 02 17
55 36 25 10 		47 60 01 18
52 39 26 09
03 16 45 62
24 11 54 37 		28 15 50 33
07 20 41 58
48 35 30 13
43 56 05 22 		51 32 29 14
40 59 06 21
31 12 49 34
04 23 42 57 		00 19 46 61
27 36 53 10
44 63 02 17
55 08 25 38 		47 60 01 18
52 11 26 37
03 16 45 62
24 39 54 09 		28 15 50 33
43 20 05 58
48 35 30 13
07 56 41 22 		51 32 29 14
04 59 42 21
31 12 49 34
40 23 06 57
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
8 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
8 variations
KTP02: Guenter Stertenbrink 2003
KTP03: Awani Kumar 2009
00 23 46 57
41 62 07 16
54 01 24 47
31 40 49 06 		45 58 03 20
04 19 42 61
27 44 53 02
50 05 28 43 		22 33 56 15
63 08 17 38
32 55 14 25
09 30 39 48 		59 12 21 34
18 37 60 11
13 26 35 52
36 51 10 29 		01 10 61 54
44 55 00 27
63 36 19 08
18 25 46 37 		62 53 02 09
03 24 47 52
16 11 60 39
45 38 17 26 		13 06 49 58
48 43 28 07
35 56 15 20
30 21 34 41 		50 57 14 05
31 04 51 40
12 23 32 59
33 42 29 22
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
8 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations
KTP04: Francis Gaspalou 2009
KTP05: Francis Gaspalou 2009
01 10 61 54
44 55 00 27
63 36 19 08
18 25 46 37 		62 53 02 09
03 24 47 52
16 11 60 39
45 38 17 26 		13 22 49 42
48 43 28 07
35 56 15 20
30 05 34 57 		50 41 14 21
31 04 51 40
12 23 32 59
33 58 29 06 		01 10 61 54
44 55 00 27
63 36 19 08
18 25 46 37 		62 53 02 09
03 24 47 52
16 11 60 39
45 38 17 26 		29 06 33 58
48 43 28 07
35 56 15 20
14 21 50 41 		34 57 30 05
31 04 51 40
12 23 32 59
49 42 13 22
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations
KTP06: Francis Gaspalou 2009
KTP07: Awani Kumar 2009
01 10 61 54
44 55 00 27
63 36 19 08
18 25 46 37 		62 53 02 09
03 24 47 52
16 11 60 39
45 38 17 26 		29 22 33 42
48 43 28 07
35 56 15 20
14 05 50 57 		34 41 30 21
31 04 51 40
12 23 32 59
49 58 13 06 		01 10 63 52
20 31 42 33
59 48 05 14
46 37 16 27 		60 55 02 09
41 34 23 28
06 13 56 51
19 24 45 38 		11 00 53 62
30 21 32 43
49 58 15 04
36 47 26 17 		54 61 08 03
35 40 29 22
12 07 50 57
25 18 39 44
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations
KTP08: Awani Kumar 2009
KTP09: Guenter Stertenbrink 2003
01 10 63 52
46 37 16 27
59 48 05 14
20 31 42 33 		60 55 02 09
19 24 45 38
06 13 56 51
41 34 23 28 		11 00 53 62
36 47 26 17
49 58 15 04
30 21 32 43 		54 61 08 03
25 18 39 44
12 07 50 57
35 40 29 22 		01 20 59 46
26 15 32 53
63 42 05 16
36 49 30 11 		60 41 06 19
39 50 29 08
02 23 56 45
25 12 35 54 		27 14 33 52
00 21 58 47
37 48 31 10
62 43 04 17 		38 51 28 09
61 40 07 18
24 13 34 55
03 22 57 44
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
8 variations
KTP10: Francis Gaspalou 2009
KTP11: Francis Gaspalou 2009
01 20 59 46
58 47 00 21
63 42 05 16
04 17 62 43 		60 41 06 19
07 18 61 40
02 23 56 45
57 44 03 22 		11 30 49 36
48 37 10 31
53 32 15 26
14 27 52 33 		54 35 12 25
13 24 55 34
08 29 50 39
51 38 09 28 		01 20 59 46
58 47 00 21
63 42 05 16
04 17 62 43 		60 41 06 19
07 18 61 40
02 23 56 45
57 44 03 22 		27 14 33 52
32 53 26 15
37 48 31 10
30 11 36 49 		38 51 28 09
29 08 39 50
24 13 34 55
35 54 25 12
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations
KTP12: Francis Gaspalou 2009
KTP13: Francis Gaspalou 2009
01 22 63 40
56 47 06 17
23 00 41 62
46 57 16 07 		60 43 02 21
05 18 59 44
42 61 20 03
19 04 45 58 		55 32 09 30
14 25 48 39
33 54 31 08
24 15 38 49 		10 29 52 35
51 36 13 26
28 11 34 53
37 50 27 12 		01 26 45 54
28 39 48 11
47 20 03 56
50 41 30 05 		46 53 02 25
51 08 31 36
00 59 44 23
29 06 49 42 		61 38 17 10
32 27 12 55
19 40 63 04
14 21 34 57 		18 09 62 37
15 52 35 24
60 07 16 43
33 58 13 22
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations
KTP14: Awani Kumar 2007
KTP15: Francis Gaspalou 2009
01 26 45 54
44 55 00 27
63 36 19 08
18 09 62 37 		46 53 02 25
03 24 47 52
16 11 60 39
61 38 17 10 		29 06 49 42
48 43 28 07
35 56 15 20
14 21 34 57 		50 41 30 05
31 04 51 40
12 23 32 59
33 58 13 22 		01 26 45 54
46 53 02 25
61 10 17 38
18 37 62 09 		60 43 16 07
19 04 63 40
00 59 44 23
47 20 03 56 		15 52 35 24
32 27 12 55
51 36 31 08
28 11 48 39 		50 05 30 41
29 42 49 06
14 21 34 57
33 58 13 22
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
4 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations
KTP16: Francis Gaspalou 2009
KTP17: Francis Gaspalou 2009
01 26 45 54
46 53 02 25
61 38 17 10
18 09 62 37 		60 07 16 43
19 40 63 04
00 59 44 23
47 20 03 56 		15 52 35 24
32 27 12 55
51 08 31 36
28 39 48 11 		50 41 30 05
29 06 49 42
14 21 34 57
33 58 13 22 		01 26 61 38
44 55 00 27
63 36 19 08
18 09 46 53 		62 37 02 25
03 24 47 52
16 11 60 39
45 54 17 10 		13 22 49 42
48 43 28 07
35 56 15 20
30 05 34 57 		50 41 14 21
31 04 51 40
12 23 32 59
33 58 29 06
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations
KTP18: Francis Gaspalou 2009
KTP19: Francis Gaspalou 2009
01 26 61 38
44 55 00 27
63 36 19 08
18 09 46 53 		62 37 02 25
03 24 47 52
16 11 60 39
45 54 17 10 		29 06 33 58
48 43 28 07
35 56 15 20
14 21 50 41 		34 57 30 05
31 04 51 40
12 23 32 59
49 42 13 22 		01 26 61 38
44 55 00 27
63 36 19 08
18 09 46 53 		62 37 02 25
03 24 47 52
16 11 60 39
45 54 17 10 		29 22 33 42
48 43 28 07
35 56 15 20
14 05 50 57 		34 41 30 21
31 04 51 40
12 23 32 59
49 58 13 06
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
8 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations
KTP20: Awani Kumar 2007
KTP21: Awani Kumar 2007
01 28 47 50
46 51 00 29
61 32 19 14
18 15 60 33 		58 11 20 37
21 36 59 10
42 27 04 53
05 52 43 26 		45 48 03 30
02 31 44 49
17 12 63 34
62 35 16 13 		22 39 56 09
57 08 23 38
06 55 40 25
41 24 07 54 		01 28 47 50
46 51 00 29
61 32 19 14
18 15 60 33 		58 39 20 09
21 08 59 38
06 27 40 53
41 52 07 26 		45 48 03 30
02 31 44 49
17 12 63 34
62 35 16 13 		22 11 56 37
57 36 23 10
42 55 04 25
05 24 43 54
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
4 variations 		pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
4 variations
KTP22: Awani Kumar 2007
KTP23: Awani Kumar 2007
01 42 61 22
60 07 16 43
15 52 35 24
50 25 14 37 		62 21 02 41
19 40 63 04
32 27 12 55
13 38 49 26 		45 06 17 58
00 59 44 23
51 08 31 36
30 53 34 09 		18 57 46 05
47 20 03 56
28 39 48 11
33 10 29 54 		01 42 61 22
60 23 00 43
15 52 35 24
50 09 30 37 		62 21 02 41
03 40 63 20
32 27 12 55
29 38 49 10 		45 06 17 58
16 59 44 07
51 08 31 36
14 53 34 25 		18 57 46 05
47 04 19 56
28 39 48 11
33 26 13 54
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
KnightJump
2 variations
KTP24: Awani Kumar 2007
KTP25: Francis Gaspalou 2009
01 44 63 18
46 03 16 61
29 48 35 14
50 31 12 33 		54 27 36 09
25 52 11 38
06 43 20 57
41 04 59 22 		45 00 19 62
02 47 60 17
49 28 15 34
30 51 32 13 		26 55 08 37
53 24 39 10
42 07 56 21
05 40 23 58 		01 46 61 18
58 21 06 41
45 02 17 62
22 57 42 05 		60 19 00 47
07 40 59 20
16 63 44 03
43 04 23 56 		15 32 51 28
52 27 08 39
35 12 31 48
24 55 36 11 		50 29 14 33
09 38 53 26
30 49 34 13
37 10 25 54
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
4 variations 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations
KTP26: Francis Gaspalou 2009
KTP27: Awani Kumar 2009
01 54 63 08
56 15 06 49
23 32 41 30
46 25 16 39 		60 11 02 53
05 50 59 12
42 29 20 35
19 36 45 26 		55 00 09 62
14 57 48 07
33 22 31 40
24 47 38 17 		10 61 52 03
51 04 13 58
28 43 34 21
37 18 27 44 		01 58 61 06
60 07 16 43
15 52 35 24
50 09 14 53 		62 05 02 57
19 40 63 04
32 27 12 55
13 54 49 10 		45 22 17 42
00 59 44 23
51 08 31 36
30 37 34 25 		18 41 46 21
47 20 03 56
28 39 48 11
33 26 29 38
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations
KTP28: Awani Kumar 2009
KTP29: Francis Gaspalou 2009
02 09 62 53
61 54 01 10
14 05 50 57
49 58 13 06 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 26 45 38
46 37 18 25
29 22 33 42
34 41 30 21 		02 09 62 53
61 54 01 10
14 21 50 41
49 42 13 22 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 26 45 38
46 37 18 25
29 06 33 58
34 57 30 05
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations
KTP30: Francis Gaspalou 2009
KTP31: Awani Kumar 2009
02 21 46 57
45 58 01 22
30 37 50 09
49 10 29 38 		63 36 19 08
16 11 60 39
35 20 15 56
12 59 32 23 		44 27 00 55
03 52 47 24
48 43 28 07
31 04 51 40 		17 42 61 06
62 05 18 41
13 26 33 54
34 53 14 25 		02 21 62 41
61 42 01 22
18 57 46 05
45 06 17 58 		63 40 03 20
00 23 60 43
47 04 19 56
16 59 44 07 		48 11 28 39
31 36 51 08
12 55 32 27
35 24 15 52 		13 54 33 26
34 25 14 53
49 10 29 38
30 37 50 09
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations 		pan-1-agonal 1-MultiMagic
KnightJump
2 variations
KTP32: Francis Gaspalou 2009
KTP33: Francis Gaspalou 2009
02 25 62 37
61 38 01 26
14 21 50 41
49 42 13 22 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 10 45 54
46 53 18 09
29 06 33 58
34 57 30 05 		02 41 62 21
47 20 03 56
28 39 48 11
49 26 13 38 		61 22 01 42
00 59 44 23
51 08 31 36
14 37 50 25 		46 05 18 57
19 40 63 04
32 27 12 55
29 54 33 10 		17 58 45 06
60 07 16 43
15 52 35 24
34 09 30 53
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations
KTP34: Awani Kumar 2009
KTP35: Awani Kumar 2007
02 41 62 21
61 22 01 42
46 05 18 57
17 58 45 06 		63 20 03 40
00 43 60 23
19 56 47 04
44 07 16 59 		28 39 48 11
51 08 31 36
32 27 12 55
15 52 35 24 		33 26 13 54
14 53 34 25
29 38 49 10
50 09 30 37 		02 45 62 17
47 16 03 60
28 51 32 15
49 14 29 34 		57 22 05 42
04 59 40 23
39 08 27 52
26 37 54 09 		46 01 18 61
19 44 63 00
48 31 12 35
13 50 33 30 		21 58 41 06
56 07 20 43
11 36 55 24
38 25 10 53
pan-1-agonal 1-MultiMagic
KnightJump
2 variations 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
KnightJump
2 variations
KTP36: Awani Kumar 2007
KTP37: Awani Kumar 2007
02 45 62 17
57 22 05 42
46 01 18 61
21 58 41 06 		63 00 19 44
20 43 56 07
03 60 47 16
40 23 04 59 		28 51 32 15
39 08 27 52
48 31 12 35
11 36 55 24 		33 30 13 50
10 53 38 25
29 34 49 14
54 09 26 37 		02 45 62 17
57 22 05 42
46 01 18 61
21 58 41 06 		63 16 03 44
04 43 56 23
19 60 47 00
40 07 20 59 		28 51 32 15
39 08 27 52
48 31 12 35
11 36 55 24 		33 14 29 50
26 53 38 09
13 34 49 30
54 25 10 37
pan-1-agonal 1-MultiMagic
KnightJump
2 variations 		pan-1-agonal 1-MultiMagic
(modular reentrant) KnightJump
2 variations
KTP38: Awani Kumar 2007
02 47 28 49
57 20 39 10
62 03 48 13
05 56 11 54 		61 00 51 14
06 59 08 53
01 44 31 50
58 23 36 09 		46 19 32 29
21 40 27 38
18 63 12 33
41 04 55 26 		17 60 15 34
42 07 52 25
45 16 35 30
22 43 24 37
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations


In principle every Cyclic(0,16,32,48) cube has 8 variations obtainable by modular addition of mentioned constant to every number in the cube. And taking their complements. Simular Cyclic(0,32) has 4 variations. However some of these variations duplicate their original. Filtering out these duplications 136 cubes remain.

Knightjump cubes order 4
The captions of the cubes below show their derivation from the primitive KTPxx, after this derivation the cubes
are merely normalized and reordered. Further cyclic variation where found duplicating another cyclic variation
of the same primitive KTPxx cube.
Also the "KnightTourNumbers" KTCxx can be used for reference purposes (BUT NOTE: upon find of new cubes these numbers change)
between squarebrackets '[' and ']' the person and year who found the listed cube (possibly in regular number range, and another aspect)
KTC000 | KTP00
[ Awani Kumar 2006]
KTC001 | KTP01
[ Awani Kumar 2006]
00 19 46 61
27 08 53 38
44 63 02 17
55 36 25 10 		47 60 01 18
52 39 26 09
03 16 45 62
24 11 54 37 		28 15 50 33
07 20 41 58
48 35 30 13
43 56 05 22 		51 32 29 14
40 59 06 21
31 12 49 34
04 23 42 57 		00 19 46 61
27 36 53 10
44 63 02 17
55 08 25 38 		47 60 01 18
52 11 26 37
03 16 45 62
24 39 54 09 		28 15 50 33
43 20 05 58
48 35 30 13
07 56 41 22 		51 32 29 14
04 59 42 21
31 12 49 34
40 23 06 57
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC002 | KTP02
[ Guenter Stertenbrink 2003]
KTC003 | 63 - (( KTP02 + 32) % 64)
[ Guenter Stertenbrink 2003]
00 23 46 57
41 62 07 16
54 01 24 47
31 40 49 06 		45 58 03 20
04 19 42 61
27 44 53 02
50 05 28 43 		22 33 56 15
63 08 17 38
32 55 14 25
09 30 39 48 		59 12 21 34
18 37 60 11
13 26 35 52
36 51 10 29 		00 41 54 31
45 04 27 50
22 63 32 09
59 18 13 36 		55 30 33 08
26 51 12 37
01 40 23 62
44 05 58 19 		46 07 24 49
03 42 53 28
56 17 14 39
21 60 35 10 		25 48 15 38
52 29 34 11
47 06 57 16
02 43 20 61
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC004 | KTP03
[ Awani Kumar 2009]
KTC005 | KTP04
[ Francis Gaspalou 2009]
01 10 61 54
44 55 00 27
63 36 19 08
18 25 46 37 		62 53 02 09
03 24 47 52
16 11 60 39
45 38 17 26 		13 06 49 58
48 43 28 07
35 56 15 20
30 21 34 41 		50 57 14 05
31 04 51 40
12 23 32 59
33 42 29 22 		01 10 61 54
44 55 00 27
63 36 19 08
18 25 46 37 		62 53 02 09
03 24 47 52
16 11 60 39
45 38 17 26 		13 22 49 42
48 43 28 07
35 56 15 20
30 05 34 57 		50 41 14 21
31 04 51 40
12 23 32 59
33 58 29 06
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC006 | KTP05
[ Francis Gaspalou 2009]
KTC007 | KTP06
[ Francis Gaspalou 2009]
01 10 61 54
44 55 00 27
63 36 19 08
18 25 46 37 		62 53 02 09
03 24 47 52
16 11 60 39
45 38 17 26 		29 06 33 58
48 43 28 07
35 56 15 20
14 21 50 41 		34 57 30 05
31 04 51 40
12 23 32 59
49 42 13 22 		01 10 61 54
44 55 00 27
63 36 19 08
18 25 46 37 		62 53 02 09
03 24 47 52
16 11 60 39
45 38 17 26 		29 22 33 42
48 43 28 07
35 56 15 20
14 05 50 57 		34 41 30 21
31 04 51 40
12 23 32 59
49 58 13 06
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC008 | KTP07
[ Awani Kumar 2009]
KTC009 | KTP08
[ Awani Kumar 2009]
01 10 63 52
20 31 42 33
59 48 05 14
46 37 16 27 		60 55 02 09
41 34 23 28
06 13 56 51
19 24 45 38 		11 00 53 62
30 21 32 43
49 58 15 04
36 47 26 17 		54 61 08 03
35 40 29 22
12 07 50 57
25 18 39 44 		01 10 63 52
46 37 16 27
59 48 05 14
20 31 42 33 		60 55 02 09
19 24 45 38
06 13 56 51
41 34 23 28 		11 00 53 62
36 47 26 17
49 58 15 04
30 21 32 43 		54 61 08 03
25 18 39 44
12 07 50 57
35 40 29 22
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC010 | KTP09
[ Guenter Stertenbrink 2003]
KTC011 | KTP10
[ Francis Gaspalou 2009]
01 20 59 46
26 15 32 53
63 42 05 16
36 49 30 11 		60 41 06 19
39 50 29 08
02 23 56 45
25 12 35 54 		27 14 33 52
00 21 58 47
37 48 31 10
62 43 04 17 		38 51 28 09
61 40 07 18
24 13 34 55
03 22 57 44 		01 20 59 46
58 47 00 21
63 42 05 16
04 17 62 43 		60 41 06 19
07 18 61 40
02 23 56 45
57 44 03 22 		11 30 49 36
48 37 10 31
53 32 15 26
14 27 52 33 		54 35 12 25
13 24 55 34
08 29 50 39
51 38 09 28
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC012 | KTP11
[ Francis Gaspalou 2009]
KTC013 | KTP12
[ Francis Gaspalou 2009]
01 20 59 46
58 47 00 21
63 42 05 16
04 17 62 43 		60 41 06 19
07 18 61 40
02 23 56 45
57 44 03 22 		27 14 33 52
32 53 26 15
37 48 31 10
30 11 36 49 		38 51 28 09
29 08 39 50
24 13 34 55
35 54 25 12 		01 22 63 40
56 47 06 17
23 00 41 62
46 57 16 07 		60 43 02 21
05 18 59 44
42 61 20 03
19 04 45 58 		55 32 09 30
14 25 48 39
33 54 31 08
24 15 38 49 		10 29 52 35
51 36 13 26
28 11 34 53
37 50 27 12
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC014 | KTP13
[ Francis Gaspalou 2009]
KTC015 | KTP14
[ Awani Kumar 2007]
01 26 45 54
28 39 48 11
47 20 03 56
50 41 30 05 		46 53 02 25
51 08 31 36
00 59 44 23
29 06 49 42 		61 38 17 10
32 27 12 55
19 40 63 04
14 21 34 57 		18 09 62 37
15 52 35 24
60 07 16 43
33 58 13 22 		01 26 45 54
44 55 00 27
63 36 19 08
18 09 62 37 		46 53 02 25
03 24 47 52
16 11 60 39
61 38 17 10 		29 06 49 42
48 43 28 07
35 56 15 20
14 21 34 57 		50 41 30 05
31 04 51 40
12 23 32 59
33 58 13 22
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC016 | KTP15
[ Francis Gaspalou 2009]
KTC017 | KTP16
[ Francis Gaspalou 2009]
01 26 45 54
46 53 02 25
61 10 17 38
18 37 62 09 		60 43 16 07
19 04 63 40
00 59 44 23
47 20 03 56 		15 52 35 24
32 27 12 55
51 36 31 08
28 11 48 39 		50 05 30 41
29 42 49 06
14 21 34 57
33 58 13 22 		01 26 45 54
46 53 02 25
61 38 17 10
18 09 62 37 		60 07 16 43
19 40 63 04
00 59 44 23
47 20 03 56 		15 52 35 24
32 27 12 55
51 08 31 36
28 39 48 11 		50 41 30 05
29 06 49 42
14 21 34 57
33 58 13 22
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC018 | ( KTP04 + 32) % 64
[ Francis Gaspalou 2009]
KTC019 | KTP17
[ Francis Gaspalou 2009]
01 26 61 38
44 55 00 27
63 36 19 08
18 09 46 53 		62 37 02 25
03 24 47 52
16 11 60 39
45 54 17 10 		13 06 49 58
48 43 28 07
35 56 15 20
30 21 34 41 		50 57 14 05
31 04 51 40
12 23 32 59
33 42 29 22 		01 26 61 38
44 55 00 27
63 36 19 08
18 09 46 53 		62 37 02 25
03 24 47 52
16 11 60 39
45 54 17 10 		13 22 49 42
48 43 28 07
35 56 15 20
30 05 34 57 		50 41 14 21
31 04 51 40
12 23 32 59
33 58 29 06
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC020 | KTP18
[ Francis Gaspalou 2009]
KTC021 | KTP19
[ Francis Gaspalou 2009]
01 26 61 38
44 55 00 27
63 36 19 08
18 09 46 53 		62 37 02 25
03 24 47 52
16 11 60 39
45 54 17 10 		29 06 33 58
48 43 28 07
35 56 15 20
14 21 50 41 		34 57 30 05
31 04 51 40
12 23 32 59
49 42 13 22 		01 26 61 38
44 55 00 27
63 36 19 08
18 09 46 53 		62 37 02 25
03 24 47 52
16 11 60 39
45 54 17 10 		29 22 33 42
48 43 28 07
35 56 15 20
14 05 50 57 		34 41 30 21
31 04 51 40
12 23 32 59
49 58 13 06
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC022 | ( KTP18 + 16) % 64
[ Francis Gaspalou 2009]
KTC023 | KTP20
[ Awani Kumar 2007]
01 28 47 50
30 51 00 45
61 32 19 14
34 15 60 17 		58 39 20 09
37 08 59 22
06 27 40 53
25 52 07 42 		29 48 03 46
02 31 44 49
33 12 63 18
62 35 16 13 		38 11 56 21
57 36 23 10
26 55 04 41
05 24 43 54 		01 28 47 50
46 51 00 29
61 32 19 14
18 15 60 33 		58 11 20 37
21 36 59 10
42 27 04 53
05 52 43 26 		45 48 03 30
02 31 44 49
17 12 63 34
62 35 16 13 		22 39 56 09
57 08 23 38
06 55 40 25
41 24 07 54
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC024 | KTP21
[ Awani Kumar 2007]
KTC025 | 63 - (( KTP09 + 16) % 64)
[ Guenter Stertenbrink 2003]
01 28 47 50
46 51 00 29
61 32 19 14
18 15 60 33 		58 39 20 09
21 08 59 38
06 27 40 53
41 52 07 26 		45 48 03 30
02 31 44 49
17 12 63 34
62 35 16 13 		22 11 56 37
57 36 23 10
42 55 04 25
05 24 43 54 		01 28 59 38
52 41 14 19
27 06 33 60
46 51 20 09 		58 39 00 29
15 18 53 40
32 61 26 07
21 08 47 50 		31 02 37 56
42 55 16 13
05 24 63 34
48 45 10 23 		36 57 30 03
17 12 43 54
62 35 04 25
11 22 49 44
pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC026 | KTP22
[ Awani Kumar 2007]
KTC027 | KTP23
[ Awani Kumar 2007]
01 42 61 22
60 07 16 43
15 52 35 24
50 25 14 37 		62 21 02 41
19 40 63 04
32 27 12 55
13 38 49 26 		45 06 17 58
00 59 44 23
51 08 31 36
30 53 34 09 		18 57 46 05
47 20 03 56
28 39 48 11
33 10 29 54 		01 42 61 22
60 23 00 43
15 52 35 24
50 09 30 37 		62 21 02 41
03 40 63 20
32 27 12 55
29 38 49 10 		45 06 17 58
16 59 44 07
51 08 31 36
14 53 34 25 		18 57 46 05
47 04 19 56
28 39 48 11
33 26 13 54
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
KnightJump
KTC028 | KTP24
[ Awani Kumar 2007]
KTC029 | 63 - (( KTP00 + 48) % 64)
[ Awani Kumar 2006]
01 44 63 18
46 03 16 61
29 48 35 14
50 31 12 33 		54 27 36 09
25 52 11 38
06 43 20 57
41 04 59 22 		45 00 19 62
02 47 60 17
49 28 15 34
30 51 32 13 		26 55 08 37
53 24 39 10
42 07 56 21
05 40 23 58 		01 46 61 18
50 29 14 33
47 00 19 60
28 51 32 15 		58 21 06 41
09 38 53 26
20 59 40 07
39 08 27 52 		45 02 17 62
30 49 34 13
03 44 63 16
48 31 12 35 		22 57 42 05
37 10 25 54
56 23 04 43
11 36 55 24
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC030 | 63 - (( KTP01 + 48) % 64)
[ Awani Kumar 2006]
KTC031 | KTP25
[ Francis Gaspalou 2009]
01 46 61 18
50 29 14 33
47 00 19 60
28 51 32 15 		58 21 42 05
37 10 53 26
20 59 04 43
11 36 27 52 		45 02 17 62
30 49 34 13
03 44 63 16
48 31 12 35 		22 57 06 41
09 38 25 54
56 23 40 07
39 08 55 24 		01 46 61 18
58 21 06 41
45 02 17 62
22 57 42 05 		60 19 00 47
07 40 59 20
16 63 44 03
43 04 23 56 		15 32 51 28
52 27 08 39
35 12 31 48
24 55 36 11 		50 29 14 33
09 38 53 26
30 49 34 13
37 10 25 54
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC032 | KTP26
[ Francis Gaspalou 2009]
KTC033 | KTP27
[ Awani Kumar 2009]
01 54 63 08
56 15 06 49
23 32 41 30
46 25 16 39 		60 11 02 53
05 50 59 12
42 29 20 35
19 36 45 26 		55 00 09 62
14 57 48 07
33 22 31 40
24 47 38 17 		10 61 52 03
51 04 13 58
28 43 34 21
37 18 27 44 		01 58 61 06
60 07 16 43
15 52 35 24
50 09 14 53 		62 05 02 57
19 40 63 04
32 27 12 55
13 54 49 10 		45 22 17 42
00 59 44 23
51 08 31 36
30 37 34 25 		18 41 46 21
47 20 03 56
28 39 48 11
33 26 29 38
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC034 | KTP28
[ Awani Kumar 2009]
KTC035 | KTP29
[ Francis Gaspalou 2009]
02 09 62 53
61 54 01 10
14 05 50 57
49 58 13 06 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 26 45 38
46 37 18 25
29 22 33 42
34 41 30 21 		02 09 62 53
61 54 01 10
14 21 50 41
49 42 13 22 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 26 45 38
46 37 18 25
29 06 33 58
34 57 30 05
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC036 | ( KTP19 + 32) % 64
[ Francis Gaspalou 2009]
KTC037 | ( KTP06 + 32) % 64
[ Francis Gaspalou 2009]
02 09 62 53
61 54 01 10
30 05 34 57
33 58 29 06 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 26 45 38
46 37 18 25
13 22 49 42
50 41 14 21 		02 09 62 53
61 54 01 10
30 21 34 41
33 42 29 22 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 26 45 38
46 37 18 25
13 06 49 58
50 57 14 05
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC038 | 63 - KTP00
[ Awani Kumar 2006]
KTC039 | 63 - KTP01
[ Awani Kumar 2006]
02 17 44 63
25 10 55 36
46 61 00 19
53 38 27 08 		45 62 03 16
54 37 24 11
01 18 47 60
26 09 52 39 		30 13 48 35
05 22 43 56
50 33 28 15
41 58 07 20 		49 34 31 12
42 57 04 23
29 14 51 32
06 21 40 59 		02 17 44 63
45 62 03 16
30 13 48 35
49 34 31 12 		53 10 27 36
26 37 52 11
05 58 43 20
42 21 04 59 		46 61 00 19
01 18 47 60
50 33 28 15
29 14 51 32 		25 38 55 08
54 09 24 39
41 22 07 56
06 57 40 23
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC040 | KTP30
[ Francis Gaspalou 2009]
KTC041 | KTP31
[ Awani Kumar 2009]
02 21 46 57
45 58 01 22
30 37 50 09
49 10 29 38 		63 36 19 08
16 11 60 39
35 20 15 56
12 59 32 23 		44 27 00 55
03 52 47 24
48 43 28 07
31 04 51 40 		17 42 61 06
62 05 18 41
13 26 33 54
34 53 14 25 		02 21 62 41
61 42 01 22
18 57 46 05
45 06 17 58 		63 40 03 20
00 23 60 43
47 04 19 56
16 59 44 07 		48 11 28 39
31 36 51 08
12 55 32 27
35 24 15 52 		13 54 33 26
34 25 14 53
49 10 29 38
30 37 50 09
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
KnightJump
KTC042 | ( KTP21 + 16) % 64
[ Awani Kumar 2007]
KTC043 | ( KTP29 + 32) % 64
[ Francis Gaspalou 2009]
02 25 46 53
45 54 01 26
30 05 50 41
49 42 29 06 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 10 61 38
62 37 18 09
13 22 33 58
34 57 14 21 		02 25 62 37
61 38 01 26
14 05 50 57
49 58 13 06 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 10 45 54
46 53 18 09
29 22 33 42
34 41 30 21
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC044 | KTP32
[ Francis Gaspalou 2009]
KTC045 | ( KTP18 + 32) % 64
[ Francis Gaspalou 2009]
02 25 62 37
61 38 01 26
14 21 50 41
49 42 13 22 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 10 45 54
46 53 18 09
29 06 33 58
34 57 30 05 		02 25 62 37
61 38 01 26
30 05 34 57
33 58 29 06 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 10 45 54
46 53 18 09
13 22 49 42
50 41 14 21
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC046 | ( KTP05 + 32) % 64
[ Francis Gaspalou 2009]
KTC047 | ( KTP18 + 48) % 64
[ Francis Gaspalou 2009]
02 25 62 37
61 38 01 26
30 21 34 41
33 42 29 22 		63 36 19 08
16 11 60 39
35 56 15 20
12 23 32 59 		44 55 00 27
03 24 47 52
48 43 28 07
31 04 51 40 		17 10 45 54
46 53 18 09
13 06 49 58
50 57 14 05 		02 29 62 33
47 00 19 60
28 51 32 15
49 46 13 18 		57 38 05 26
20 59 40 07
39 08 27 52
10 21 54 41 		30 01 34 61
03 44 63 16
48 31 12 35
45 50 17 14 		37 58 25 06
56 23 04 43
11 36 55 24
22 09 42 53
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC048 | KTP33
[ Francis Gaspalou 2009]
KTC049 | KTP34
[ Awani Kumar 2009]
02 41 62 21
47 20 03 56
28 39 48 11
49 26 13 38 		61 22 01 42
00 59 44 23
51 08 31 36
14 37 50 25 		46 05 18 57
19 40 63 04
32 27 12 55
29 54 33 10 		17 58 45 06
60 07 16 43
15 52 35 24
34 09 30 53 		02 41 62 21
61 22 01 42
46 05 18 57
17 58 45 06 		63 20 03 40
00 43 60 23
19 56 47 04
44 07 16 59 		28 39 48 11
51 08 31 36
32 27 12 55
15 52 35 24 		33 26 13 54
14 53 34 25
29 38 49 10
50 09 30 37
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
KnightJump
KTC050 | ( KTP02 + 32) % 64
[ Guenter Stertenbrink 2003]
KTC051 | ( KTP20 + 16) % 64
[ Awani Kumar 2007]
02 43 20 61
47 06 57 16
52 29 34 11
25 48 15 38 		53 28 03 42
24 49 46 07
35 10 21 60
14 39 56 17 		44 05 58 19
01 40 23 62
26 51 12 37
55 30 33 08 		27 50 45 04
54 31 00 41
13 36 59 18
32 09 22 63 		02 45 30 49
53 26 05 42
46 01 50 29
25 54 41 06 		63 16 35 12
36 11 20 59
19 60 15 32
08 39 56 23 		44 03 48 31
27 52 43 04
00 47 28 51
55 24 07 40 		17 62 13 34
10 37 58 21
61 18 33 14
38 09 22 57
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC052 | ( KTP14 + 16) % 64
[ Awani Kumar 2007]
KTC053 | ( KTP24 + 16) % 64
[ Awani Kumar 2007]
02 45 62 17
47 00 19 60
28 51 32 15
49 30 13 34 		57 22 05 42
20 59 40 07
39 08 27 52
10 37 54 25 		46 01 18 61
03 44 63 16
48 31 12 35
29 50 33 14 		21 58 41 06
56 23 04 43
11 36 55 24
38 09 26 53 		02 45 62 17
47 00 19 60
28 51 32 15
49 30 13 34 		57 22 41 06
20 59 04 43
11 36 27 52
38 09 54 25 		46 01 18 61
03 44 63 16
48 31 12 35
29 50 33 14 		21 58 05 42
56 23 40 07
39 08 55 24
10 37 26 53
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC054 | KTP35
[ Awani Kumar 2007]
KTC055 | KTP36
[ Awani Kumar 2007]
02 45 62 17
47 16 03 60
28 51 32 15
49 14 29 34 		57 22 05 42
04 59 40 23
39 08 27 52
26 37 54 09 		46 01 18 61
19 44 63 00
48 31 12 35
13 50 33 30 		21 58 41 06
56 07 20 43
11 36 55 24
38 25 10 53 		02 45 62 17
57 22 05 42
46 01 18 61
21 58 41 06 		63 00 19 44
20 43 56 07
03 60 47 16
40 23 04 59 		28 51 32 15
39 08 27 52
48 31 12 35
11 36 55 24 		33 30 13 50
10 53 38 25
29 34 49 14
54 09 26 37
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
KnightJump 		pan-1-agonal 1-MultiMagic
KnightJump
KTC056 | KTP37
[ Awani Kumar 2007]
KTC057 | KTP38
[ Awani Kumar 2007]
02 45 62 17
57 22 05 42
46 01 18 61
21 58 41 06 		63 16 03 44
04 43 56 23
19 60 47 00
40 07 20 59 		28 51 32 15
39 08 27 52
48 31 12 35
11 36 55 24 		33 14 29 50
26 53 38 09
13 34 49 30
54 25 10 37 		02 47 28 49
57 20 39 10
62 03 48 13
05 56 11 54 		61 00 51 14
06 59 08 53
01 44 31 50
58 23 36 09 		46 19 32 29
21 40 27 38
18 63 12 33
41 04 55 26 		17 60 15 34
42 07 52 25
45 16 35 30
22 43 24 37
pan-1-agonal 1-MultiMagic
(modular reentrant) KnightJump 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC058 | ( KTP01 + 16) % 64
[ Awani Kumar 2006]
KTC059 | ( KTP12 + 32) % 64
[ Francis Gaspalou 2009]
03 20 47 56
44 59 00 23
63 04 19 40
16 43 60 07 		48 11 28 39
31 36 51 08
12 27 32 55
35 52 15 24 		45 58 01 22
02 21 46 57
17 42 61 06
62 05 18 41 		30 37 50 09
49 10 29 38
34 53 14 25
13 26 33 54 		03 20 61 42
58 45 04 19
21 02 43 60
44 59 18 05 		62 41 00 23
07 16 57 46
40 63 22 01
17 06 47 56 		53 34 11 28
12 27 50 37
35 52 29 10
26 13 36 51 		08 31 54 33
49 38 15 24
30 09 32 55
39 48 25 14
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC060 | 63 - (( KTP10 + 32) % 64)
[ Francis Gaspalou 2009]
KTC061 | ( KTP11 + 32) % 64
[ Francis Gaspalou 2009]
03 22 57 44
56 45 02 23
61 40 07 18
06 19 60 41 		62 43 04 17
05 16 63 42
00 21 58 47
59 46 01 20 		09 28 51 38
50 39 08 29
55 34 13 24
12 25 54 35 		52 33 14 27
15 26 53 32
10 31 48 37
49 36 11 30 		03 22 57 44
56 45 02 23
61 40 07 18
06 19 60 41 		62 43 04 17
05 16 63 42
00 21 58 47
59 46 01 20 		25 12 35 54
34 55 24 13
39 50 29 08
28 09 38 51 		36 49 30 11
31 10 37 48
26 15 32 53
33 52 27 14
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC062 | ( KTP00 + 16) % 64
[ Awani Kumar 2006]
KTC063 | 63 - (( KTP07 + 32) % 64)
[ Awani Kumar 2009]
03 44 63 16
48 31 12 35
45 02 17 62
30 49 34 13 		56 23 04 43
11 36 55 24
22 57 42 05
37 10 25 54 		47 00 19 60
28 51 32 15
01 46 61 18
50 29 14 33 		20 59 40 07
39 08 27 52
58 21 06 41
09 38 53 26 		04 15 58 49
17 26 47 36
62 53 00 11
43 32 21 30 		57 50 07 12
44 39 18 25
03 08 61 54
22 29 40 35 		14 05 48 59
27 16 37 46
52 63 10 01
33 42 31 20 		51 56 13 06
38 45 24 19
09 02 55 60
28 23 34 41
pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC064 | ( KTP09 + 32) % 64
[ Guenter Stertenbrink 2003]
KTC065 | 63 - (( KTP09 + 48) % 64)
[ Guenter Stertenbrink 2003]
04 17 62 43
31 10 37 48
58 47 00 21
33 52 27 14 		57 44 03 22
34 55 24 13
07 18 61 40
28 09 38 51 		30 11 36 49
05 16 63 42
32 53 26 15
59 46 01 20 		35 54 25 12
56 45 02 23
29 08 39 50
06 19 60 41 		04 25 62 35
49 44 11 22
30 03 36 57
43 54 17 12 		63 34 05 24
10 23 48 45
37 56 31 02
16 13 42 55 		26 07 32 61
47 50 21 08
00 29 58 39
53 40 15 18 		33 60 27 06
20 09 46 51
59 38 01 28
14 19 52 41
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC066 | 63 - KTP02
[ Guenter Stertenbrink 2003]
KTC067 | 63 - KTP24
[ Awani Kumar 2007]
04 41 18 63
45 00 59 22
50 31 36 09
27 54 13 32 		51 30 05 40
26 55 44 01
37 08 19 62
12 33 58 23 		42 07 60 17
03 46 21 56
28 49 10 39
53 24 35 14 		29 48 43 06
52 25 02 47
11 38 61 16
34 15 20 57 		05 40 23 58
42 07 56 21
53 24 39 10
26 55 08 37 		50 31 12 33
29 48 35 14
46 03 16 61
01 44 63 18 		41 04 59 22
06 43 20 57
25 52 11 38
54 27 36 09 		30 51 32 13
49 28 15 34
02 47 60 17
45 00 19 62
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC068 | 63 - KTP31
[ Awani Kumar 2009]
KTC069 | ( KTP26 + 32) % 64
[ Francis Gaspalou 2009]
05 46 57 18
56 19 04 47
11 48 39 28
54 13 26 33 		58 17 06 45
07 44 59 16
36 31 08 51
25 34 53 14 		41 62 21 02
20 03 40 63
55 12 27 32
10 49 38 29 		22 01 42 61
43 60 23 00
24 35 52 15
37 30 09 50 		05 50 59 12
56 15 06 49
51 04 13 58
14 57 48 07 		60 11 02 53
01 54 63 08
10 61 52 03
55 00 09 62 		19 36 45 26
46 25 16 39
37 18 27 44
24 47 38 17 		42 29 20 35
23 32 41 30
28 43 34 21
33 22 31 40
pan-1-agonal 1-MultiMagic
KnightJump 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC070 | 63 - KTP30
[ Francis Gaspalou 2009]
KTC071 | 63 - (( KTP20 + 16) % 64)
[ Awani Kumar 2007]
06 17 42 61
41 62 05 18
54 13 26 33
25 34 53 14 		55 44 27 00
24 03 52 47
07 48 43 28
40 31 04 51 		08 63 36 19
39 16 11 60
56 35 20 15
23 12 59 32 		57 02 21 46
22 45 58 01
09 30 37 50
38 49 10 29 		06 23 40 57
41 56 07 22
54 39 24 09
25 08 55 38 		49 12 31 34
30 35 48 13
45 16 03 62
02 63 44 17 		42 59 04 21
05 20 43 58
26 11 52 37
53 36 27 10 		29 32 51 14
50 15 28 33
01 60 47 18
46 19 00 61
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC072 | ( KTP01 + 32) % 64
[ Awani Kumar 2006]
KTC073 | 63 - (( KTP01 + 16) % 64)
[ Awani Kumar 2006]
06 41 54 25
49 30 45 02
42 05 26 53
29 50 01 46 		57 22 09 38
34 13 62 17
21 58 37 10
14 33 18 61 		40 07 24 55
31 48 03 44
04 43 52 27
51 28 47 00 		23 56 39 08
12 35 16 63
59 20 11 36
32 15 60 19 		07 16 43 60
24 35 52 15
41 62 05 18
54 13 26 33 		40 63 04 19
55 12 27 32
06 17 42 61
25 34 53 14 		23 44 59 00
08 31 36 51
57 02 21 46
38 49 10 29 		56 03 20 47
39 48 11 28
22 45 58 01
09 30 37 50
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC074 | 63 - KTP03
[ Awani Kumar 2009]
KTC075 | 63 - KTP05
[ Francis Gaspalou 2009]
09 02 53 62
36 63 08 19
55 44 27 00
26 17 38 45 		54 61 10 01
11 16 39 60
24 03 52 47
37 46 25 18 		05 14 57 50
56 35 20 15
43 48 07 28
22 29 42 33 		58 49 06 13
23 12 59 32
04 31 40 51
41 34 21 30 		09 02 53 62
36 63 08 19
55 44 27 00
26 17 38 45 		54 61 10 01
11 16 39 60
24 03 52 47
37 46 25 18 		05 30 57 34
56 35 20 15
43 48 07 28
22 13 42 49 		58 33 06 29
23 12 59 32
04 31 40 51
41 50 21 14
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC076 | 63 - KTP04
[ Francis Gaspalou 2009]
KTC077 | 63 - KTP06
[ Francis Gaspalou 2009]
09 02 53 62
36 63 08 19
55 44 27 00
26 17 38 45 		54 61 10 01
11 16 39 60
24 03 52 47
37 46 25 18 		21 14 41 50
56 35 20 15
43 48 07 28
06 29 58 33 		42 49 22 13
23 12 59 32
04 31 40 51
57 34 05 30 		09 02 53 62
36 63 08 19
55 44 27 00
26 17 38 45 		54 61 10 01
11 16 39 60
24 03 52 47
37 46 25 18 		21 30 41 34
56 35 20 15
43 48 07 28
06 13 58 49 		42 33 22 29
23 12 59 32
04 31 40 51
57 50 05 14
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC078 | 63 - KTP07
[ Awani Kumar 2009]
KTC079 | 63 - KTP08
[ Awani Kumar 2009]
09 02 55 60
28 23 34 41
51 56 13 06
38 45 24 19 		52 63 10 01
33 42 31 20
14 05 48 59
27 16 37 46 		03 08 61 54
22 29 40 35
57 50 07 12
44 39 18 25 		62 53 00 11
43 32 21 30
04 15 58 49
17 26 47 36 		09 02 55 60
38 45 24 19
51 56 13 06
28 23 34 41 		52 63 10 01
27 16 37 46
14 05 48 59
33 42 31 20 		03 08 61 54
44 39 18 25
57 50 07 12
22 29 40 35 		62 53 00 11
17 26 47 36
04 15 58 49
43 32 21 30
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC080 | 63 - KTP16
[ Francis Gaspalou 2009]
KTC081 | 63 - KTP14
[ Awani Kumar 2007]
09 18 37 62
20 47 56 03
39 28 11 48
58 33 22 13 		38 61 10 17
59 00 23 44
08 51 36 31
21 14 57 34 		53 46 25 02
40 19 04 63
27 32 55 12
06 29 42 49 		26 01 54 45
07 60 43 16
52 15 24 35
41 50 05 30 		09 18 37 62
36 63 08 19
55 44 27 00
26 01 54 45 		38 61 10 17
11 16 39 60
24 03 52 47
53 46 25 02 		21 14 57 34
56 35 20 15
43 48 07 28
06 29 42 49 		58 33 22 13
23 12 59 32
04 31 40 51
41 50 05 30
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC082 | 63 - KTP15
[ Francis Gaspalou 2009]
KTC083 | 63 - KTP13
[ Francis Gaspalou 2009]
09 18 37 62
38 61 10 17
25 46 53 02
54 01 26 45 		56 47 20 03
23 00 59 44
40 19 04 63
07 60 43 16 		39 28 11 48
08 51 36 31
55 32 27 12
24 15 52 35 		22 33 58 13
57 14 21 34
06 29 42 49
41 50 05 30 		09 18 37 62
38 61 10 17
53 46 25 02
26 01 54 45 		52 15 24 35
27 32 55 12
08 51 36 31
39 28 11 48 		07 60 43 16
40 19 04 63
59 00 23 44
20 47 56 03 		58 33 22 13
21 14 57 34
06 29 42 49
41 50 05 30
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC084 | 63 - (( KTP05 + 32) % 64)
[ Francis Gaspalou 2009]
KTC085 | 63 - KTP32
[ Francis Gaspalou 2009]
09 18 53 46
36 63 08 19
55 44 27 00
26 01 38 61 		54 45 10 17
11 16 39 60
24 03 52 47
37 62 25 02 		05 14 57 50
56 35 20 15
43 48 07 28
22 29 42 33 		58 49 06 13
23 12 59 32
04 31 40 51
41 34 21 30 		09 18 53 46
36 63 08 19
55 44 27 00
26 01 38 61 		54 45 10 17
11 16 39 60
24 03 52 47
37 62 25 02 		05 30 57 34
56 35 20 15
43 48 07 28
22 13 42 49 		58 33 06 29
23 12 59 32
04 31 40 51
41 50 21 14
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC086 | 63 - (( KTP18 + 32) % 64)
[ Francis Gaspalou 2009]
KTC087 | 63 - (( KTP29 + 32) % 64)
[ Francis Gaspalou 2009]
09 18 53 46
36 63 08 19
55 44 27 00
26 01 38 61 		54 45 10 17
11 16 39 60
24 03 52 47
37 62 25 02 		21 14 41 50
56 35 20 15
43 48 07 28
06 29 58 33 		42 49 22 13
23 12 59 32
04 31 40 51
57 34 05 30 		09 18 53 46
36 63 08 19
55 44 27 00
26 01 38 61 		54 45 10 17
11 16 39 60
24 03 52 47
37 62 25 02 		21 30 41 34
56 35 20 15
43 48 07 28
06 13 58 49 		42 33 22 29
23 12 59 32
04 31 40 51
57 50 05 14
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC088 | 63 - (( KTP18 + 16) % 64)
[ Francis Gaspalou 2009]
KTC089 | 63 - KTP21
[ Awani Kumar 2007]
09 20 39 58
22 59 08 37
53 40 27 06
42 07 52 25 		50 47 28 01
45 00 51 30
14 19 32 61
17 60 15 34 		21 56 11 38
10 23 36 57
41 04 55 26
54 43 24 05 		46 03 48 29
49 44 31 02
18 63 12 33
13 16 35 62 		09 20 39 58
38 59 08 21
53 40 27 06
26 07 52 41 		50 47 28 01
29 00 51 46
14 19 32 61
33 60 15 18 		37 56 11 22
10 23 36 57
25 04 55 42
54 43 24 05 		30 03 48 45
49 44 31 02
34 63 12 17
13 16 35 62
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC090 | 63 - KTP10
[ Francis Gaspalou 2009]
KTC091 | 63 - (( KTP02 + 48) % 64)
[ Guenter Stertenbrink 2003]
09 28 51 38
50 39 08 29
55 34 13 24
12 25 54 35 		52 33 14 27
15 26 53 32
10 31 48 37
49 36 11 30 		03 22 57 44
56 45 02 23
61 40 07 18
06 19 60 41 		62 43 04 17
05 16 63 42
00 21 58 47
59 46 01 20 		09 30 39 48
32 55 14 25
63 08 17 38
22 33 56 15 		36 51 10 29
13 26 35 52
18 37 60 11
59 12 21 34 		31 40 49 06
54 01 24 47
41 62 07 16
00 23 46 57 		50 05 28 43
27 44 53 02
04 19 42 61
45 58 03 20
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC092 | ( KTP02 + 16) % 64
[ Guenter Stertenbrink 2003]
KTC093 | 63 - KTP22
[ Awani Kumar 2007]
09 32 63 22
36 13 18 59
31 54 41 00
50 27 04 45 		62 23 40 01
19 58 05 44
08 33 30 55
37 12 51 26 		39 14 17 56
10 35 60 21
49 24 07 46
28 53 42 03 		16 57 06 47
61 20 43 02
38 15 48 25
11 34 29 52 		09 34 53 30
52 15 24 35
07 60 43 16
58 17 06 45 		54 29 10 33
27 32 55 12
40 19 04 63
05 46 57 18 		37 14 25 50
08 51 36 31
59 00 23 44
22 61 42 01 		26 49 38 13
39 28 11 48
20 47 56 03
41 02 21 62
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC094 | 63 - KTP36
[ Awani Kumar 2007]
KTC095 | 63 - KTP20
[ Awani Kumar 2007]
09 34 53 30
52 15 24 35
23 60 43 00
42 17 06 61 		54 29 10 33
27 32 55 12
40 03 20 63
05 62 41 18 		37 14 25 50
08 51 36 31
59 16 07 44
22 45 58 01 		26 49 38 13
39 28 11 48
04 47 56 19
57 02 21 46 		09 38 25 54
50 29 14 33
37 10 53 26
30 49 34 13 		56 23 40 07
47 00 19 60
20 59 04 43
03 44 63 16 		39 08 55 24
28 51 32 15
11 36 27 52
48 31 12 35 		22 57 06 41
01 46 61 18
58 21 42 05
45 02 17 62
pan-1-agonal 1-MultiMagic
KnightJump 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC096 | 63 - KTP25
[ Francis Gaspalou 2009]
KTC097 | 63 - KTP23
[ Awani Kumar 2007]
09 38 53 26
50 29 14 33
37 10 25 54
30 49 34 13 		52 27 08 39
15 32 51 28
24 55 36 11
35 12 31 48 		07 40 59 20
60 19 00 47
43 04 23 56
16 63 44 03 		58 21 06 41
01 46 61 18
22 57 42 05
45 02 17 62 		09 38 53 26
50 29 14 33
37 10 25 54
30 49 34 13 		52 27 08 39
15 32 51 28
24 55 36 11
35 12 31 48 		07 56 43 20
44 19 00 63
59 04 23 40
16 47 60 03 		58 05 22 41
17 46 61 02
06 57 42 21
45 18 01 62
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
KnightJump
KTC098 | 63 - KTP34
[ Awani Kumar 2009]
KTC099 | 63 - KTP37
[ Awani Kumar 2007]
09 38 53 26
50 29 14 33
37 10 25 54
30 49 34 13 		52 27 08 39
15 32 51 28
24 55 36 11
35 12 31 48 		23 40 59 04
60 03 16 47
43 20 07 56
00 63 44 19 		42 21 06 57
01 62 45 18
22 41 58 05
61 02 17 46 		09 38 53 26
50 29 14 33
37 10 25 54
30 49 34 13 		52 27 08 39
15 32 51 28
24 55 36 11
35 12 31 48 		23 56 43 04
44 03 16 63
59 20 07 40
00 47 60 19 		42 05 22 57
17 62 45 02
06 41 58 21
61 18 01 46
pan-1-agonal 1-MultiMagic
KnightJump 		pan-1-agonal 1-MultiMagic
(modular reentrant) KnightJump
KTC100 | 63 - KTP38
[ Awani Kumar 2007]
KTC101 | 63 - KTP28
[ Awani Kumar 2009]
09 50 53 14
52 15 24 35
07 60 43 16
58 01 06 61 		54 13 10 49
27 32 55 12
40 19 04 63
05 62 57 02 		37 30 25 34
08 51 36 31
59 00 23 44
22 45 42 17 		26 33 38 29
39 28 11 48
20 47 56 03
41 18 21 46 		10 01 54 61
53 62 09 02
06 13 58 49
57 50 05 14 		55 44 27 00
24 03 52 47
43 48 07 28
04 31 40 51 		36 63 08 19
11 16 39 60
56 35 20 15
23 12 59 32 		25 18 37 46
38 45 26 17
21 30 41 34
42 33 22 29
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC102 | 63 - (( KTP19 + 32) % 64)
[ Francis Gaspalou 2009]
KTC103 | 63 - KTP29
[ Francis Gaspalou 2009]
10 01 54 61
53 62 09 02
06 29 58 33
57 34 05 30 		55 44 27 00
24 03 52 47
43 48 07 28
04 31 40 51 		36 63 08 19
11 16 39 60
56 35 20 15
23 12 59 32 		25 18 37 46
38 45 26 17
21 14 41 50
42 49 22 13 		10 01 54 61
53 62 09 02
22 13 42 49
41 50 21 14 		55 44 27 00
24 03 52 47
43 48 07 28
04 31 40 51 		36 63 08 19
11 16 39 60
56 35 20 15
23 12 59 32 		25 18 37 46
38 45 26 17
05 30 57 34
58 33 06 29
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC104 | 63 - (( KTP06 + 32) % 64)
[ Francis Gaspalou 2009]
KTC105 | 63 - (( KTP21 + 16) % 64)
[ Awani Kumar 2007]
10 01 54 61
53 62 09 02
22 29 42 33
41 34 21 30 		55 44 27 00
24 03 52 47
43 48 07 28
04 31 40 51 		36 63 08 19
11 16 39 60
56 35 20 15
23 12 59 32 		25 18 37 46
38 45 26 17
05 14 57 50
58 49 06 13 		10 17 38 61
37 62 09 18
22 13 58 33
57 34 21 14 		55 44 27 00
24 03 52 47
43 48 07 28
04 31 40 51 		36 63 08 19
11 16 39 60
56 35 20 15
23 12 59 32 		25 02 53 46
54 45 26 01
05 30 41 50
42 49 06 29
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC106 | 63 - KTP19
[ Francis Gaspalou 2009]
KTC107 | 63 - KTP17
[ Francis Gaspalou 2009]
10 17 54 45
53 46 09 18
06 13 58 49
57 50 05 14 		55 44 27 00
24 03 52 47
43 48 07 28
04 31 40 51 		36 63 08 19
11 16 39 60
56 35 20 15
23 12 59 32 		25 02 37 62
38 61 26 01
21 30 41 34
42 33 22 29 		10 17 54 45
53 46 09 18
06 29 58 33
57 34 05 30 		55 44 27 00
24 03 52 47
43 48 07 28
04 31 40 51 		36 63 08 19
11 16 39 60
56 35 20 15
23 12 59 32 		25 02 37 62
38 61 26 01
21 14 41 50
42 49 22 13
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC108 | 63 - KTP18
[ Francis Gaspalou 2009]
KTC109 | 63 - (( KTP04 + 32) % 64)
[ Francis Gaspalou 2009]
10 17 54 45
53 46 09 18
22 13 42 49
41 50 21 14 		55 44 27 00
24 03 52 47
43 48 07 28
04 31 40 51 		36 63 08 19
11 16 39 60
56 35 20 15
23 12 59 32 		25 02 37 62
38 61 26 01
05 30 57 34
58 33 06 29 		10 17 54 45
53 46 09 18
22 29 42 33
41 34 21 30 		55 44 27 00
24 03 52 47
43 48 07 28
04 31 40 51 		36 63 08 19
11 16 39 60
56 35 20 15
23 12 59 32 		25 02 37 62
38 61 26 01
05 14 57 50
58 49 06 13
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC110 | 63 - (( KTP18 + 48) % 64)
[ Francis Gaspalou 2009]
KTC111 | 63 - KTP33
[ Francis Gaspalou 2009]
10 21 54 41
39 08 27 52
20 59 40 07
57 38 05 26 		49 46 13 18
28 51 32 15
47 00 19 60
02 29 62 33 		22 09 42 53
11 36 55 24
56 23 04 43
37 58 25 06 		45 50 17 14
48 31 12 35
03 44 63 16
30 01 34 61 		10 33 54 29
39 28 11 48
20 47 56 03
57 18 05 46 		53 30 09 34
08 51 36 31
59 00 23 44
06 45 58 17 		38 13 26 49
27 32 55 12
40 19 04 63
21 62 41 02 		25 50 37 14
52 15 24 35
07 60 43 16
42 01 22 61
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC112 | 63 - KTP35
[ Awani Kumar 2007]
KTC113 | 63 - (( KTP24 + 16) % 64)
[ Awani Kumar 2007]
10 33 54 29
39 28 11 48
20 63 40 03
57 02 21 46 		53 30 09 34
08 51 36 31
43 00 23 60
22 45 58 01 		38 13 26 49
27 32 55 12
56 19 04 47
05 62 41 18 		25 50 37 14
52 15 24 35
07 44 59 16
42 17 06 61 		10 37 26 53
39 08 55 24
56 23 40 07
21 58 05 42 		49 30 13 34
28 51 32 15
47 00 19 60
02 45 62 17 		38 09 54 25
11 36 27 52
20 59 04 43
57 22 41 06 		29 50 33 14
48 31 12 35
03 44 63 16
46 01 18 61
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
KnightJump 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC114 | 63 - (( KTP14 + 16) % 64)
[ Awani Kumar 2007]
KTC115 | 63 - KTP27
[ Awani Kumar 2009]
10 37 54 25
39 08 27 52
20 59 40 07
57 22 05 42 		49 30 13 34
28 51 32 15
47 00 19 60
02 45 62 17 		38 09 26 53
11 36 55 24
56 23 04 43
21 58 41 06 		29 50 33 14
48 31 12 35
03 44 63 16
46 01 18 61 		10 39 20 57
49 28 47 02
54 11 56 05
13 48 03 62 		53 08 59 06
14 51 00 61
09 36 23 58
50 31 44 01 		38 27 40 21
29 32 19 46
26 55 04 41
33 12 63 18 		25 52 07 42
34 15 60 17
37 24 43 22
30 35 16 45
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC116 | ( KTP10 + 32) % 64
[ Francis Gaspalou 2009]
KTC117 | 63 - (( KTP02 + 16) % 64)
[ Guenter Stertenbrink 2003]
11 30 49 36
48 37 10 31
53 32 15 26
14 27 52 33 		54 35 12 25
13 24 55 34
08 29 50 39
51 38 09 28 		01 20 59 46
58 47 00 21
63 42 05 16
04 17 62 43 		60 41 06 19
07 18 61 40
02 23 56 45
57 44 03 22 		11 34 29 52
38 15 48 25
61 20 43 02
16 57 06 47 		60 21 10 35
17 56 39 14
42 03 28 53
07 46 49 24 		37 12 51 26
08 33 30 55
19 58 05 44
62 23 40 01 		18 59 36 13
63 22 09 32
04 45 50 27
41 00 31 54
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC118 | ( KTP07 + 32) % 64
[ Awani Kumar 2009]
KTC119 | ( KTP02 + 48) % 64
[ Guenter Stertenbrink 2003]
12 07 50 57
25 18 39 44
54 61 08 03
35 40 29 22 		49 58 15 04
36 47 26 17
11 00 53 62
30 21 32 43 		06 13 56 51
19 24 45 38
60 55 02 09
41 34 23 28 		59 48 05 14
46 37 16 27
01 10 63 52
20 31 42 33 		13 32 27 54
36 09 50 31
59 22 45 00
18 63 04 41 		58 23 12 33
19 62 37 08
44 01 26 55
05 40 51 30 		35 14 53 24
10 39 28 49
21 56 03 46
60 17 42 07 		20 57 34 15
61 16 11 38
02 47 52 25
43 06 29 48
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC120 | 63 - (( KTP00 + 32) % 64)
[ Awani Kumar 2006]
KTC121 | 63 - (( KTP01 + 32) % 64)
[ Awani Kumar 2006]
17 02 63 44
10 25 36 55
61 46 19 00
38 53 08 27 		62 45 16 03
37 54 11 24
18 01 60 47
09 26 39 52 		13 30 35 48
22 05 56 43
33 50 15 28
58 41 20 07 		34 49 12 31
57 42 23 04
14 29 32 51
21 06 59 40 		17 02 63 44
10 53 36 27
61 46 19 00
38 25 08 55 		62 45 16 03
37 26 11 52
18 01 60 47
09 54 39 24 		13 30 35 48
58 05 20 43
33 50 15 28
22 41 56 07 		34 49 12 31
21 42 59 04
14 29 32 51
57 06 23 40
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC122 | 63 - KTP09
[ Guenter Stertenbrink 2003]
KTC123 | 63 - KTP11
[ Francis Gaspalou 2009]
17 04 43 62
10 31 48 37
47 58 21 00
52 33 14 27 		44 57 22 03
55 34 13 24
18 07 40 61
09 28 51 38 		11 30 49 36
16 05 42 63
53 32 15 26
46 59 20 01 		54 35 12 25
45 56 23 02
08 29 50 39
19 06 41 60 		17 04 43 62
42 63 16 05
47 58 21 00
20 01 46 59 		44 57 22 03
23 02 45 56
18 07 40 61
41 60 19 06 		11 30 49 36
48 37 10 31
53 32 15 26
14 27 52 33 		54 35 12 25
13 24 55 34
08 29 50 39
51 38 09 28
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC124 | 63 - KTP12
[ Francis Gaspalou 2009]
KTC125 | ( KTP09 + 16) % 64
[ Guenter Stertenbrink 2003]
17 06 47 56
40 63 22 01
07 16 57 46
62 41 00 23 		44 59 18 05
21 02 43 60
58 45 04 19
03 20 61 42 		39 48 25 14
30 09 32 55
49 38 15 24
08 31 54 33 		26 13 36 51
35 52 29 10
12 27 50 37
53 34 11 28 		17 12 43 54
36 57 30 03
11 22 49 44
62 35 04 25 		42 55 16 13
31 02 37 56
48 45 10 23
05 24 63 34 		15 18 53 40
58 39 00 29
21 08 47 50
32 61 26 07 		52 41 14 19
01 28 59 38
46 51 20 09
27 06 33 60
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC126 | 63 - KTP26
[ Francis Gaspalou 2009]
KTC127 | ( KTP00 + 32) % 64
[ Awani Kumar 2006]
17 38 47 24
40 31 22 33
07 48 57 14
62 09 00 55 		44 27 18 37
21 34 43 28
58 13 04 51
03 52 61 10 		39 16 25 46
30 41 32 23
49 06 15 56
08 63 54 01 		26 45 36 19
35 20 29 42
12 59 50 05
53 02 11 60 		19 00 61 46
08 27 38 53
63 44 17 02
36 55 10 25 		60 47 18 01
39 52 09 26
16 03 62 45
11 24 37 54 		15 28 33 50
20 07 58 41
35 48 13 30
56 43 22 05 		32 51 14 29
59 40 21 06
12 31 34 49
23 04 57 42
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC128 | 63 - (( KTP12 + 32) % 64)
[ Francis Gaspalou 2009]
KTC129 | 63 - (( KTP11 + 32) % 64)
[ Francis Gaspalou 2009]
19 04 45 58
42 61 20 03
05 18 59 44
60 43 02 21 		46 57 16 07
23 00 41 62
56 47 06 17
01 22 63 40 		37 50 27 12
28 11 34 53
51 36 13 26
10 29 52 35 		24 15 38 49
33 54 31 08
14 25 48 39
55 32 09 30 		19 06 41 60
40 61 18 07
45 56 23 02
22 03 44 57 		46 59 20 01
21 00 47 58
16 05 42 63
43 62 17 04 		09 28 51 38
50 39 08 29
55 34 13 24
12 25 54 35 		52 33 14 27
15 26 53 32
10 31 48 37
49 36 11 30
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC130 | 63 - (( KTP09 + 32) % 64)
[ Guenter Stertenbrink 2003]
KTC131 | ( KTP09 + 48) % 64
[ Guenter Stertenbrink 2003]
20 01 46 59
15 26 53 32
42 63 16 05
49 36 11 30 		41 60 19 06
50 39 08 29
23 02 45 56
12 25 54 35 		14 27 52 33
21 00 47 58
48 37 10 31
43 62 17 04 		51 38 09 28
40 61 18 07
13 24 55 34
22 03 44 57 		20 09 46 51
33 60 27 06
14 19 52 41
59 38 01 28 		47 50 21 08
26 07 32 61
53 40 15 18
00 29 58 39 		10 23 48 45
63 34 05 24
16 13 42 55
37 56 31 02 		49 44 11 22
04 25 62 35
43 54 17 12
30 03 36 57
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC132 | 63 - (( KTP26 + 32) % 64)
[ Francis Gaspalou 2009]
KTC133 | ( KTP01 + 48) % 64
[ Awani Kumar 2006]
21 34 43 28
40 31 22 33
35 20 29 42
30 41 32 23 		44 27 18 37
17 38 47 24
26 45 36 19
39 16 25 46 		03 52 61 10
62 09 00 55
53 02 11 60
08 63 54 01 		58 13 04 51
07 48 57 14
12 59 50 05
49 06 15 56 		22 01 58 45
09 50 37 30
56 47 20 03
39 28 11 48 		57 46 21 02
38 29 10 49
23 00 59 44
08 51 36 31 		06 61 42 17
25 14 53 34
40 19 04 63
55 32 27 12 		41 18 05 62
54 33 26 13
07 60 43 16
24 15 52 35
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32) 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC134 | 63 - (( KTP00 + 16) % 64)
[ Awani Kumar 2006]
KTC135 | ( KTP00 + 48) % 64
[ Awani Kumar 2006]
33 14 29 50
18 61 46 01
15 32 51 28
60 19 00 47 		26 53 38 09
41 06 21 58
52 27 08 39
07 40 59 20 		13 34 49 30
62 17 02 45
35 12 31 48
16 63 44 03 		54 25 10 37
05 42 57 22
24 55 36 11
43 04 23 56 		35 12 31 48
16 63 44 03
13 34 49 30
62 17 02 45 		24 55 36 11
43 04 23 56
54 25 10 37
05 42 57 22 		15 32 51 28
60 19 00 47
33 14 29 50
18 61 46 01 		52 27 08 39
07 40 59 20
26 53 38 09
41 06 21 58
pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48) 		pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)