The Magic Encyclopedia ™ DataBase

Knightjump cubes order 4
 (by Aale de Winkel)

A rather hefty discussion between <Awani Kumar> <Francis Gaspalou> and myself (early 2009) 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. 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
November 2011 one further KTP arrived in my mailbox by <Awani Kumar> and in december he found two more reentrant versions. Newly implemented procedure reordered the 42 KTP's accordingly, as well as the cyclic and inverted KTC-listing, counting 142 KTC's in all at this start of 2012.
But note upon find of new cubes both KTP numbers and KTC numbers might change

Primary knightjump cubes order 4
filtering through all currently known (Januari 2012) order 4 knightjump cubes, and putting them in normalized position
42 cubes can be concidered as primary cubes from which a total of 142 cubes can be found by restarting the knightjumptour
further up the tour itself, as well as taking the complement of these cubes. All 142 cubes are found in the table below
this table hold merely the 42 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 2011
KTP23: Awani Kumar 2007
01 30 53 42
54 41 02 29
61 34 09 22
10 21 62 33 		60 35 08 23
11 20 63 32
00 31 52 43
55 40 03 28 		07 16 59 44
56 47 04 19
51 36 15 24
12 27 48 39 		58 45 06 17
05 18 57 46
14 25 50 37
49 38 13 26 		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
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
KTC28 | KTP24: Awani Kumar 2007
KTP25: Awani Kumar 2007
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 		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
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
KnightJump
2 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
4 variations
KTP26: Francis Gaspalou 2009
KTP27: Francis Gaspalou 2009
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 		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
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
reentrant KnightJump
Cyclic(00,32)
4 variations
KTP28: Awani Kumar 2009
KTP29: Awani Kumar 2009
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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations
KTP30: Francis Gaspalou 2009
KTP31: Francis Gaspalou 2009
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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
4 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations
KTP32: Awani Kumar 2011
KTC43 | KTP33: Awani Kumar 2009
02 21 62 41
55 40 03 28
12 27 48 39
57 38 13 18 		61 42 01 22
00 31 52 43
51 36 15 24
14 17 58 37 		54 33 10 29
11 20 63 32
56 47 04 19
05 26 49 46 		09 30 53 34
60 35 08 23
07 16 59 44
50 45 06 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
KTP34: Francis Gaspalou 2009
KTP35: 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
KTC51 | KTP36: Awani Kumar 2009
KTC56 | KTP37: 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
KTC57 | KTP38: Awani Kumar 2007
KTC58 | KTP39: 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
KTP40: Awani Kumar 2007
KTC70 | KTP41: Awani Kumar 2011
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 		05 24 43 54
42 55 04 25
57 44 23 02
22 03 56 45 		50 47 28 01
29 00 51 46
14 27 32 53
33 52 15 26 		41 18 07 60
06 61 40 19
21 38 59 08
58 09 20 39 		30 37 48 11
49 10 31 36
34 17 12 63
13 62 35 16
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
2 variations 		pan-1-agonal 1-MultiMagic
KnightJump
2 variations


The new finds end 2011 by <Awani Kumar> rehusseld both the listing, currently updated to the December 2011 known results. 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 142 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)
the person and year who found the listed cube (possibly in regular number range, and another aspect)
KTC00 | KTP00
Awani Kumar 2006 		KTC01 | 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)
KTC02 | KTP02
Guenter Stertenbrink 2003 		KTC03 | 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)
KTC04 | KTP03
Awani Kumar 2009 		KTC05 | 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)
KTC06 | KTP05
Francis Gaspalou 2009 		KTC07 | 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)
KTC08 | KTP07
Awani Kumar 2009 		KTC09 | 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)
KTC10 | KTP09
Guenter Stertenbrink 2003 		KTC11 | 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)
KTC12 | KTP11
Francis Gaspalou 2009 		KTC13 | 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)
KTC14 | KTP13
Francis Gaspalou 2009 		KTC15 | 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)
KTC16 | KTP15
Francis Gaspalou 2009 		KTC17 | 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)
KTC18 | ( KTP04 + 32 ) % 64
Francis Gaspalou 2009 		KTC19 | 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)
KTC20 | KTP18
Francis Gaspalou 2009 		KTC21 | 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)
KTC22 | ( KTP18 + 16 ) % 64
Francis Gaspalou 2009 		KTC23 | 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)
KTC24 | KTP21
Awani Kumar 2007 		KTC25 | 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)
KTC26 | KTP22
Awani Kumar 2011 		KTC27 | KTP23
Awani Kumar 2007
01 30 53 42
54 41 02 29
61 34 09 22
10 21 62 33 		60 35 08 23
11 20 63 32
00 31 52 43
55 40 03 28 		07 16 59 44
56 47 04 19
51 36 15 24
12 27 48 39 		58 45 06 17
05 18 57 46
14 25 50 37
49 38 13 26 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
 pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC28 | KTP24: Awani Kumar 2007
KTC29 | KTP25
Awani Kumar 2007
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 		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
pan-1-agonal 1-MultiMagic 3-agonal 1-MultiMagic
KnightJump
2 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC30 | 63 - (( KTP00 + 48 ) % 64)
Awani Kumar 2006 		KTC31 | 63 - (( KTP01 + 48 ) % 64)
Awani Kumar 2006
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 		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
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(00,16,32,48)
KTC32 | KTP26
Francis Gaspalou 2009 		KTC33 | KTP27
Francis Gaspalou 2009
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 		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
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(00,32)
KTC34 | KTP28
Awani Kumar 2009 		KTC35 | KTP29
Awani Kumar 2009
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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC36 | KTP30
Francis Gaspalou 2009 		KTC37 | ( KTP19 + 32 ) % 64
Francis Gaspalou 2009
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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC38 | ( KTP06 + 32 ) % 64
Francis Gaspalou 2009 		KTC39 | 63 - (KTP00)
Awani Kumar 2006
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 		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
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)
KTC40 | 63 - (KTP01)
Awani Kumar 2006 		KTC41 | KTP31
Francis Gaspalou 2009
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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC42 | KTP32
Awani Kumar 2011 		KTC43 | KTP33: Awani Kumar 2009
02 21 62 41
55 40 03 28
12 27 48 39
57 38 13 18 		61 42 01 22
00 31 52 43
51 36 15 24
14 17 58 37 		54 33 10 29
11 20 63 32
56 47 04 19
05 26 49 46 		09 30 53 34
60 35 08 23
07 16 59 44
50 45 06 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
2 variations
KTC44 | ( KTP21 + 16 ) % 64
Awani Kumar 2007 		KTC45 | ( KTP30 + 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)
KTC46 | KTP34
Francis Gaspalou 2009 		KTC47 | ( 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)
KTC48 | ( KTP05 + 32 ) % 64
Francis Gaspalou 2009 		KTC49 | ( 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)
KTC50 | KTP35
Francis Gaspalou 2009 		KTC51 | KTP36: 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
2 variations
KTC52 | ( KTP02 + 32 ) % 64
Guenter Stertenbrink 2003 		KTC53 | ( 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)
KTC54 | ( KTP14 + 16 ) % 64
Awani Kumar 2007 		KTC55 | ( KTP25 + 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)
KTC56 | KTP37: Awani Kumar 2007
KTC57 | KTP38: 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
2 variations 		pan-1-agonal 1-MultiMagic
KnightJump
2 variations
KTC58 | KTP39: Awani Kumar 2007
KTC59 | KTP40
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
2 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC60 | ( KTP01 + 16 ) % 64
Awani Kumar 2006 		KTC61 | ( 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)
KTC62 | 63 - (( KTP10 + 32 ) % 64)
Francis Gaspalou 2009 		KTC63 | ( 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)
KTC64 | ( KTP00 + 16 ) % 64
Awani Kumar 2006 		KTC65 | 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)
KTC66 | ( KTP09 + 32 ) % 64
Guenter Stertenbrink 2003 		KTC67 | 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)
KTC68 | 63 - (KTP02)
Guenter Stertenbrink 2003 		KTC69 | 63 - (KTP22)
Awani Kumar 2011
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 18 57 46
56 47 04 19
03 28 55 40
62 33 10 21 		58 45 06 17
07 16 59 44
52 43 00 31
09 22 61 34 		49 38 13 26
12 27 48 39
63 32 11 20
02 29 54 41 		14 25 50 37
51 36 15 24
08 23 60 35
53 42 01 30
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC70 | KTP41: Awani Kumar 2011
KTC71 | 63 - (KTP25)
Awani Kumar 2007
05 24 43 54
42 55 04 25
57 44 23 02
22 03 56 45 		50 47 28 01
29 00 51 46
14 27 32 53
33 52 15 26 		41 18 07 60
06 61 40 19
21 38 59 08
58 09 20 39 		30 37 48 11
49 10 31 36
34 17 12 63
13 62 35 16 		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
KnightJump
2 variations 		pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC72 |
KTC73 | ( KTP27 + 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)
KTC74 | 63 - (KTP31)
Francis Gaspalou 2009 		KTC75 | 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)
KTC76 | 63 - (KTP32)
Awani Kumar 2011 		KTC77 | ( KTP01 + 32 ) % 64
Awani Kumar 2006
06 25 50 45
49 46 05 26
58 37 14 17
13 18 57 38 		51 36 15 24
12 27 48 39
07 16 59 44
56 47 04 19 		08 23 60 35
63 32 11 20
52 43 00 31
03 28 55 40 		61 42 01 22
02 21 62 41
09 30 53 34
54 33 10 29 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC78 | 63 - (( KTP01 + 16 ) % 64)
Awani Kumar 2006 		KTC79 | 63 - (KTP03)
Awani Kumar 2009
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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC80 | 63 - (KTP05)
Francis Gaspalou 2009 		KTC81 | 63 - (KTP04)
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 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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC82 | 63 - (KTP06)
Francis Gaspalou 2009 		KTC83 | 63 - (KTP07)
Awani Kumar 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 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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC84 | 63 - (KTP08)
Awani Kumar 2009 		KTC85 | 63 - (KTP16)
Francis Gaspalou 2009
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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC86 | 63 - (KTP14)
Awani Kumar 2007 		KTC87 | 63 - (KTP15)
Francis Gaspalou 2009
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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC88 | 63 - (KTP13)
Francis Gaspalou 2009 		KTC89 | 63 - (( KTP05 + 32 ) % 64)
Francis Gaspalou 2009
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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
KTC90 | 63 - (KTP34)
Francis Gaspalou 2009 		KTC91 | 63 - (( KTP18 + 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 		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 		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
pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,32)
 pan-1-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
KTC92 | 63 - (( KTP30 + 32 ) % 64)
Francis Gaspalou 2009 		KTC93 | 63 - (( KTP18 + 16 ) % 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 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 		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
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)
KTC94 | 63 - (KTP21)
Awani Kumar 2007 		KTC95 |
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 		09 20 39 58
38 59 08 21
61 40 19 06
18 07 60 41 		62 35 16 13
17 12 63 34
10 31 36 49
37 48 11 30 		03 56 45 22
44 23 02 57
55 04 25 42
24 43 54 05 		52 15 26 33
27 32 53 14
00 51 46 29
47 28 01 50
pan-1-agonal 1-MultiMagic pan-3-agonal 1-MultiMagic
reentrant KnightJump
Cyclic(00,16,32,48)
 pan-1-agonal 1-MultiMagic
KnightJump
KTC96 | 63 - (KTP10)
Francis Gaspalou 2009 		KTC97 | 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)
KTC98 | ( KTP02 + 16 ) % 64
Guenter Stertenbrink 2003 		KTC99 | 63 - (KTP23)
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)
KTC100 |
KTC101 | 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)
KTC102 | 63 - (KTP26)
Francis Gaspalou 2009 		KTC103 |
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
KTC104 |
KTC105 |
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
KTC106 | 63 - (KTP40)
Awani Kumar 2007 		KTC107 | 63 - (KTP29)
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)
KTC108 | 63 - (( KTP19 + 32 ) % 64)
Francis Gaspalou 2009 		KTC109 | 63 - (KTP30)
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)
KTC110 | 63 - (( KTP06 + 32 ) % 64)
Francis Gaspalou 2009 		KTC111 | 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)
KTC112 | 63 - (KTP19)
Francis Gaspalou 2009 		KTC113 | 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)
KTC114 | 63 - (KTP18)
Francis Gaspalou 2009 		KTC115 | 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)
KTC116 | 63 - (( KTP18 + 48 ) % 64)
Francis Gaspalou 2009 		KTC117 | 63 - (KTP35)
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)
KTC118 |
KTC119 | 63 - (( KTP25 + 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)
KTC120 | 63 - (( KTP14 + 16 ) % 64)
Awani Kumar 2007 		KTC121 | 63 - (KTP28)
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)
KTC122 | ( KTP10 + 32 ) % 64
Francis Gaspalou 2009 		KTC123 | 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)
KTC124 | ( KTP07 + 32 ) % 64
Awani Kumar 2009 		KTC125 | ( 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)
KTC126 | 63 - (( KTP00 + 32 ) % 64)
Awani Kumar 2006 		KTC127 | 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)
KTC128 | 63 - (KTP09)
Guenter Stertenbrink 2003 		KTC129 | 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)
KTC130 | 63 - (KTP12)
Francis Gaspalou 2009 		KTC131 | ( 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)
KTC132 | 63 - (KTP27)
Francis Gaspalou 2009 		KTC133 | ( 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)
KTC134 | 63 - (( KTP12 + 32 ) % 64)
Francis Gaspalou 2009 		KTC135 | 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)
KTC136 | 63 - (( KTP09 + 32 ) % 64)
Guenter Stertenbrink 2003 		KTC137 | ( 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)
KTC138 | 63 - (( KTP27 + 32 ) % 64)
Francis Gaspalou 2009 		KTC139 | ( 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)
KTC140 | 63 - (( KTP00 + 16 ) % 64)
Awani Kumar 2006 		KTC141 | ( 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)