In 1997 a packing for the Z pentacubes has been found be Wolf. wolf = Yoshiya Wolf Shindo = wolf@momo.so-net.ne.jp He found a packing of the 6x6x25 box. A symmetric packing of this box is shown below. In the May 1997 Wolf found a packing of 6x10x10, which has a smaller volume. The 6x6x25 box: (Wolf) 96 83 77 77 67 67 48 48 33 28 34 14 14 2 2 2 2 2 2 2 2 2 2 2 2 96 96 96 77 68 67 49 49 34 34 34 15 14 2 2 2 2 2 2 2 2 2 2 2 2 97 97 96 77 77 67 67 59 34 29 23 15 14 14 2 2 2 2 2 2 2 2 2 2 2 98 84 84 73 69 59 59 59 35 29 29 29 2 2 2 2 2 2 2 2 2 2 2 2 2 99 85 84 73 69 59 55 55 35 35 35 29 2 2 2 2 2 2 2 2 2 2 2 2 2 99 85 84 84 76 60 56 56 36 36 35 16 16 2 2 2 2 2 2 2 2 2 2 2 2 93 83 83 83 66 57 57 48 33 28 23 12 12 2 2 2 2 2 2 2 2 2 2 2 2 93 93 93 72 68 58 57 49 33 28 23 15 12 2 2 2 2 2 2 2 2 2 2 2 2 94 97 93 72 68 58 57 57 33 28 23 27 12 12 2 2 2 2 2 2 2 2 2 2 2 98 98 98 73 68 60 47 47 31 27 27 27 22 2 2 2 2 2 2 2 2 2 2 2 2 99 85 81 81 69 60 55 47 32 27 22 22 22 2 2 2 2 2 2 2 2 2 2 2 2 95 95 76 76 76 60 56 47 47 36 22 13 16 2 2 2 2 2 2 2 2 2 2 2 2 94 88 88 83 66 53 53 48 48 26 23 15 2 2 2 2 2 2 2 2 2 2 2 2 2 94 82 82 72 66 58 53 49 49 26 21 15 2 2 2 2 2 2 2 2 2 2 2 2 2 94 97 97 73 66 54 53 53 33 28 21 11 11 2 2 2 2 2 2 2 2 2 2 2 2 99 85 98 73 68 60 46 46 31 31 31 13 11 2 2 2 2 2 2 2 2 2 2 2 2 99 85 81 71 69 55 55 46 32 32 32 13 11 11 2 2 2 2 2 2 2 2 2 2 2 92 95 76 71 69 56 56 46 46 36 36 13 16 16 2 2 2 2 2 2 2 2 2 2 2 94 88 75 72 63 58 45 41 41 30 30 2 2 2 2 2 2 2 2 2 2 2 2 2 2 91 80 82 72 63 58 45 45 45 26 21 2 2 2 2 2 2 2 2 2 2 2 2 2 2 91 80 89 70 66 54 54 54 45 24 24 10 2 2 2 2 2 2 2 2 2 2 2 2 2 92 86 86 70 64 51 65 38 38 25 31 13 2 2 2 2 2 2 2 2 2 2 2 2 2 92 81 81 71 65 65 65 39 38 25 32 18 18 2 2 2 2 2 2 2 2 2 2 2 2 92 95 95 79 65 52 52 40 38 38 20 19 19 2 2 2 2 2 2 2 2 2 2 2 2 88 88 75 75 75 62 62 41 43 30 21 10 2 2 2 2 2 2 2 2 2 2 2 2 2 91 80 82 82 63 62 43 43 43 26 21 10 2 2 2 2 2 2 2 2 2 2 2 2 2 89 89 89 70 62 62 43 54 44 26 24 10 2 2 2 2 2 2 2 2 2 2 2 2 2 92 86 90 71 64 51 44 44 44 25 20 2 2 2 2 2 2 2 2 2 2 2 2 2 2 90 90 90 71 64 51 44 39 39 39 20 18 2 2 2 2 2 2 2 2 2 2 2 2 2 90 79 79 79 64 51 52 40 40 40 20 19 2 2 2 2 2 2 2 2 2 2 2 2 2 91 80 78 78 75 50 41 41 30 30 17 10 2 2 2 2 2 2 2 2 2 2 2 2 2 91 80 78 70 63 50 50 50 37 37 17 17 17 2 2 2 2 2 2 2 2 2 2 2 2 89 78 78 70 63 61 61 50 37 25 24 24 17 2 2 2 2 2 2 2 2 2 2 2 2 86 86 87 74 74 61 42 37 37 25 20 2 2 2 2 2 2 2 2 2 2 2 2 2 2 87 87 87 74 61 61 42 42 42 39 18 18 2 2 2 2 2 2 2 2 2 2 2 2 2 87 79 74 74 64 51 52 52 42 40 19 19 2 2 2 2 2 2 2 2 2 2 2 2 2 The 6x10x10 box: (Wolf) This box has rotational and point symmetry. 51 52 52 36 38 30 30 21 15 15 51 52 40 36 36 36 30 21 21 21 52 52 53 z 33 36 30 30 14 21 53 53 53 z z z z z 23 23 53 55 55 z z z z 22 23 11 54 55 41 z z z z 23 23 24 55 55 z z z z z 24 24 24 56 44 42 42 34 35 z 24 25 25 56 56 56 42 34 34 34 29 25 12 57 57 56 42 42 31 34 25 25 12 47 47 38 38 38 27 26 26 15 19 51 47 40 40 40 28 28 19 19 19 48 47 47 z 33 33 33 19 14 11 48 43 41 z z z z z 14 11 49 43 41 z z z z 22 14 11 54 44 41 z z z z 22 13 17 54 44 z z z z z 22 13 10 54 44 50 35 35 35 z 20 20 10 50 50 50 37 37 29 29 29 20 12 50 57 39 39 32 31 31 31 20 20 45 45 38 o o 27 26 15 15 16 51 45 o o 40 27 28 16 16 16 51 45 45 z o 27 33 16 o 11 48 43 41 z z z z z o o 49 49 49 z z z z o 14 o o 44 o z z z z 17 17 17 o o z z z z z 22 13 10 54 o 46 35 32 o z 18 18 12 46 46 46 37 32 29 o o 18 12 46 57 57 39 32 o o 31 18 18 . . . . . 26 26 . . . . . . . . . 28 28 . . . 43 . . . 27 . . . . 48 43 . . . . . . . . 48 . 49 . . . . . . . . . . . . . . 17 . 10 . . . . . . . . 13 10 . . . . 32 . . . 13 . . . 37 37 . . . . . . . . . 39 39 . . . . . References: - Wolf's Puzzle Homepage; http://www02.u-page.so-net.ne.jp/momo/wolf/puzzle_e/index.html