### Pantriagonal 20x20x20 magic cube (Composite 3)b

Using a pantriagonal 4x4x4 magic cube and a pantriagonal 5x5x5 magic cube there are three possibilities to construct a pantriagonal 20x20x20 magic cube.

Take as first grid 64x pantriagonal 5x5x5 magic cube and as second grid 5x5x5 'blown up' pantriagonal 4x4x4 magic cube. See below the grids and result of level 1.

Take 1x number from first grid with 64x pantriagonal 5x5x5 magic cube [level 1]

 10 36 67 98 104 10 36 67 98 104 10 36 67 98 104 10 36 67 98 104 39 70 96 102 8 39 70 96 102 8 39 70 96 102 8 39 70 96 102 8 68 99 105 6 37 68 99 105 6 37 68 99 105 6 37 68 99 105 6 37 97 103 9 40 66 97 103 9 40 66 97 103 9 40 66 97 103 9 40 66 101 7 38 69 100 101 7 38 69 100 101 7 38 69 100 101 7 38 69 100 10 36 67 98 104 10 36 67 98 104 10 36 67 98 104 10 36 67 98 104 39 70 96 102 8 39 70 96 102 8 39 70 96 102 8 39 70 96 102 8 68 99 105 6 37 68 99 105 6 37 68 99 105 6 37 68 99 105 6 37 97 103 9 40 66 97 103 9 40 66 97 103 9 40 66 97 103 9 40 66 101 7 38 69 100 101 7 38 69 100 101 7 38 69 100 101 7 38 69 100 10 36 67 98 104 10 36 67 98 104 10 36 67 98 104 10 36 67 98 104 39 70 96 102 8 39 70 96 102 8 39 70 96 102 8 39 70 96 102 8 68 99 105 6 37 68 99 105 6 37 68 99 105 6 37 68 99 105 6 37 97 103 9 40 66 97 103 9 40 66 97 103 9 40 66 97 103 9 40 66 101 7 38 69 100 101 7 38 69 100 101 7 38 69 100 101 7 38 69 100 10 36 67 98 104 10 36 67 98 104 10 36 67 98 104 10 36 67 98 104 39 70 96 102 8 39 70 96 102 8 39 70 96 102 8 39 70 96 102 8 68 99 105 6 37 68 99 105 6 37 68 99 105 6 37 68 99 105 6 37 97 103 9 40 66 97 103 9 40 66 97 103 9 40 66 97 103 9 40 66 101 7 38 69 100 101 7 38 69 100 101 7 38 69 100 101 7 38 69 100

+125x (number -/- 1) from second grid with 5x5x5 'blown up' pantriagonal 4x4x4 [level 1]

 6 6 6 6 6 27 27 27 27 27 54 54 54 54 54 43 43 43 43 43 6 6 6 6 6 27 27 27 27 27 54 54 54 54 54 43 43 43 43 43 6 6 6 6 6 27 27 27 27 27 54 54 54 54 54 43 43 43 43 43 6 6 6 6 6 27 27 27 27 27 54 54 54 54 54 43 43 43 43 43 6 6 6 6 6 27 27 27 27 27 54 54 54 54 54 43 43 43 43 43 51 51 51 51 51 46 46 46 46 46 3 3 3 3 3 30 30 30 30 30 51 51 51 51 51 46 46 46 46 46 3 3 3 3 3 30 30 30 30 30 51 51 51 51 51 46 46 46 46 46 3 3 3 3 3 30 30 30 30 30 51 51 51 51 51 46 46 46 46 46 3 3 3 3 3 30 30 30 30 30 51 51 51 51 51 46 46 46 46 46 3 3 3 3 3 30 30 30 30 30 16 16 16 16 16 17 17 17 17 17 64 64 64 64 64 33 33 33 33 33 16 16 16 16 16 17 17 17 17 17 64 64 64 64 64 33 33 33 33 33 16 16 16 16 16 17 17 17 17 17 64 64 64 64 64 33 33 33 33 33 16 16 16 16 16 17 17 17 17 17 64 64 64 64 64 33 33 33 33 33 16 16 16 16 16 17 17 17 17 17 64 64 64 64 64 33 33 33 33 33 57 57 57 57 57 40 40 40 40 40 9 9 9 9 9 24 24 24 24 24 57 57 57 57 57 40 40 40 40 40 9 9 9 9 9 24 24 24 24 24 57 57 57 57 57 40 40 40 40 40 9 9 9 9 9 24 24 24 24 24 57 57 57 57 57 40 40 40 40 40 9 9 9 9 9 24 24 24 24 24 57 57 57 57 57 40 40 40 40 40 9 9 9 9 9 24 24 24 24 24

= 20x20x20 pantriagonal magic cube [level 1]

 635 661 692 723 729 3260 3286 3317 3348 3354 6635 6661 6692 6723 6729 5260 5286 5317 5348 5354 664 695 721 727 633 3289 3320 3346 3352 3258 6664 6695 6721 6727 6633 5289 5320 5346 5352 5258 693 724 730 631 662 3318 3349 3355 3256 3287 6693 6724 6730 6631 6662 5318 5349 5355 5256 5287 722 728 634 665 691 3347 3353 3259 3290 3316 6722 6728 6634 6665 6691 5347 5353 5259 5290 5316 726 632 663 694 725 3351 3257 3288 3319 3350 6726 6632 6663 6694 6725 5351 5257 5288 5319 5350 6260 6286 6317 6348 6354 5635 5661 5692 5723 5729 260 286 317 348 354 3635 3661 3692 3723 3729 6289 6320 6346 6352 6258 5664 5695 5721 5727 5633 289 320 346 352 258 3664 3695 3721 3727 3633 6318 6349 6355 6256 6287 5693 5724 5730 5631 5662 318 349 355 256 287 3693 3724 3730 3631 3662 6347 6353 6259 6290 6316 5722 5728 5634 5665 5691 347 353 259 290 316 3722 3728 3634 3665 3691 6351 6257 6288 6319 6350 5726 5632 5663 5694 5725 351 257 288 319 350 3726 3632 3663 3694 3725 1885 1911 1942 1973 1979 2010 2036 2067 2098 2104 7885 7911 7942 7973 7979 4010 4036 4067 4098 4104 1914 1945 1971 1977 1883 2039 2070 2096 2102 2008 7914 7945 7971 7977 7883 4039 4070 4096 4102 4008 1943 1974 1980 1881 1912 2068 2099 2105 2006 2037 7943 7974 7980 7881 7912 4068 4099 4105 4006 4037 1972 1978 1884 1915 1941 2097 2103 2009 2040 2066 7972 7978 7884 7915 7941 4097 4103 4009 4040 4066 1976 1882 1913 1944 1975 2101 2007 2038 2069 2100 7976 7882 7913 7944 7975 4101 4007 4038 4069 4100 7010 7036 7067 7098 7104 4885 4911 4942 4973 4979 1010 1036 1067 1098 1104 2885 2911 2942 2973 2979 7039 7070 7096 7102 7008 4914 4945 4971 4977 4883 1039 1070 1096 1102 1008 2914 2945 2971 2977 2883 7068 7099 7105 7006 7037 4943 4974 4980 4881 4912 1068 1099 1105 1006 1037 2943 2974 2980 2881 2912 7097 7103 7009 7040 7066 4972 4978 4884 4915 4941 1097 1103 1009 1040 1066 2972 2978 2884 2915 2941 7101 7007 7038 7069 7100 4976 4882 4913 4944 4975 1101 1007 1038 1069 1100 2976 2882 2913 2944 2975

See for all levels and check if all numbers are in the magic cube and addition of the numbers give the right magic sum, the download below.

20x20x20, pantriagonal (C3)b.xlsx
Microsoft Excel werkblad 559.0 KB