colonel@sunybcs.UUCP (Col. G. L. Sicherman) (12/28/85)
Can anybody point me to a magic cube of order 6?
A magic cube is one whose 108 rows and 4 solid diagonals all add up
to the same number--651 if it's numbered from 1 to 216.
--
Col. G. L. Sicherman
UU: ...{rocksvax|decvax}!sunybcs!colonel
CS: colonel@buffalo-cs
BI: csdsicher@sunyabvastan@clt.DEC (Stanley Rabinowitz) (12/31/85)
Col. G. L. Sicherman asked for a magic cube of order 6.
The following example comes from [1]. Each of the 108
orthogonal rows sums to 651 as well as the 4 space diagonals.
It consists of all the integers from 1 to 216.
Other magic cubes of order 6 are also given in [1] as well
as methods of construction.
Reference:
[1] W.S. Andrews, Magic Squares and Cubes, Dover Publications, Inc.
New York: 1960. Page 197.
Example of a magic cube of order 6:
4 139 161 26 174 147
85 166 107 188 93 12
98 152 138 3 103 157
Level 1 179 17 84 165 184 22
183 21 13 175 89 170
102 156 148 94 8 143
193 58 80 215 39 66
112 31 134 53 120 201
125 71 57 192 130 76
Level 2 44 206 111 30 49 211
48 210 202 40 116 35
129 75 67 121 197 62
18 153 136 163 23 158
99 180 1 82 104 185
181 19 95 176 171 9
Level 3 100 154 149 14 90 144
167 5 108 189 172 10
86 140 162 27 91 145
207 72 55 28 212 77
126 45 190 109 131 50
46 208 122 41 36 198
Level 4 127 73 68 203 117 63
32 194 135 54 37 199
113 59 81 216 118 64
155 20 150 15 169 142
101 182 96 177 88 7
6 87 106 187 92 173
Level 5 141 168 160 25 11 146
151 16 137 83 105 159
97 178 2 164 186 24
74 209 69 204 34 61
128 47 123 42 115 196
195 114 133 52 119 38
Level 6 60 33 79 214 200 65
70 205 56 110 132 78
124 43 191 29 51 213
Stanley Rabinowitz
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