57:. Because the cube contains so many magic squares, it was considered for many years to be "perfect" (although other types of cubes were also sometimes called a "perfect magic cube").
128:
has been used to indicate the order of the magic hypercube. However, in recent years, due to the increasing emphasis on higher dimension hypercubes, there is a trend to use
167:
46:
planes parallel to the top, front, and sides of the cube must sum correctly. This means that the cube contains 3
93:
189:
105:
24:
152:
28:
172:
183:
50:
157:
27:(when ranked by the number of lines summing correctly), coming after the
60:
It is now known that there are three higher classes of cubes.
173:
Walter Trump’s Search for the smallest ‘perfect’ cube
8:
117:
7:
158:Aale de Winkel’s Magic Encyclopedia
168:Christian Boyer’s Multimagic cubes
34:In a diagonal magic cube of order
14:
74:+ 4 correctly summing lines and 3
16:Magic cube with extra constraints
1:
206:
153:Harvey Heinz’s magic cubes
78:+ 6 simple magic squares.
94:pandiagonal magic squares
23:is the second of the six
42:of the diagonals in the
136:to indicate dimension.
132:to indicate order and
70:has a total of 3m + 6
51:simple magic squares
21:diagonal magic cubes
89:correct lines and 9
81:The new definition
68:diagonal magic cube
106:Magic cube classes
83:perfect magic cube
29:simple magic cubes
25:magic cube classes
85:has a total of 13
197:
164:Old definition:
149:New definition:
137:
122:
205:
204:
200:
199:
198:
196:
195:
194:
180:
179:
146:
141:
140:
124:Traditionally,
123:
119:
114:
102:
17:
12:
11:
5:
203:
201:
193:
192:
182:
181:
178:
177:
176:
175:
170:
162:
161:
160:
155:
145:
144:External links
142:
139:
138:
116:
115:
113:
110:
109:
108:
101:
98:
15:
13:
10:
9:
6:
4:
3:
2:
202:
191:
190:Magic squares
188:
187:
185:
174:
171:
169:
166:
165:
163:
159:
156:
154:
151:
150:
148:
147:
143:
135:
131:
127:
121:
118:
111:
107:
104:
103:
99:
97:
95:
92:
88:
84:
79:
77:
73:
69:
66:
61:
58:
56:
52:
49:
45:
41:
37:
32:
30:
26:
22:
19:The class of
133:
129:
125:
120:
90:
86:
82:
80:
75:
71:
67:
64:
62:
59:
54:
47:
43:
39:
35:
33:
20:
18:
53:of order
184:Category
100:See also
65:(proper)
38:, all 6
112:Notes
63:The
186::
96:.
31:.
134:n
130:m
126:n
91:m
87:m
76:m
72:m
55:m
48:m
44:m
40:m
36:m
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.