Magic squaresContact / guestbookMost magic square per order3x3 magic square3x3 magic square, explanationSudoku method (1)Sudoku method (2)Sudoku method (3)Pan magic 4x4 squarePan magic 4x4 square, explanationPan magic 4x4 square, binaryDürer & Franklin transformationTransformation methodTransformation method, analysis[ultra] pan magic 5x5 squarePan magic 5x5 square, explanation6x6 magic squareUltra (pan)magic 8x8 squareMost perfect magic squares, explanation8x8 most perfect magic squares, binaryKhajuraho methodKhajuraho method, explanationBasic pattern method (1a)Basic pattern method (1b)Basic pattern method (2)Basic pattern method (3a)Basic pattern method (3b)Basic pattern method (3c)Basic pattern method (4)Basic pattern method (5)Basic pattern method (6)Basic pattern method (7a)Basic pattern method (7b)Analysis Franklin panm. 8x8 (1)Analysis Franklin panm. 8x8 (2)Basic key method (1)Basic key method (2)Quadrant method (Willem Barink)Quadrant method group 1 up to 5Quadrant method group 6 up to 10Quadrant method group 11 up to 19[ultra] pan magic 9x9 square (1)pan magic 9x9 square (2)pan magic 9x9 square (3)3x extra magic 9x9 square10x10 magic squareComposite 12x12 magic square14x14 magic square[Ultra] pan magic 15x15 square3x extra magic 15x15 squareThe perfect magic square3x extra magic 18x18 squareUltra pan magic 25x25 square[ultra] pan magic 27x27 square[ultra] pan magic 35x35 squareextra magic 35x35 squareBordered squaresInlaid square (1)Inlaid square (2)Each magic sumWater retention challengeMost magic 4x4x4 cubesymmetric & semi (pan)magic 5x5x5 cubeSymmetric & panmagic 7x7x7 cubePerfect (Nasik) & compact 8x8x8 cube[More than] perfect magic 9x9x9 cubePerfect (Nasik) magic 11x11x11 cubePerfect (Nasik) magic 15x15x15 cubeTrick with 8x8 bimagic squareFavorite Links
How to make perfect magic squares & cubes
The sky is the limit!!!
Basic pattern method (3c)
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How to use a panmagic 4x4 square to produce a most perfect magic
16x16 square
 
With basic pattern method 3b it is possible to use the splitted as well as the unsplitted pattern of a
panmagic 4x4 square. With basic pattern method 3c it is only possible to use the unsplitted pattern
of a panmagic 4x4 square. But the result is a most perfect magic 16x16 square with the extra magic
feature X.
 
You need (4 x 4 =) 16x the same panmagic 4x4 square (see page ‘panmagic 4x4 square’) and 2
fixed patterns.
 
 
1x digit from 16x the same panmagic 4x4 square
 
 
 
 
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
+16x digit from fixed grid 1
 
 
 
 
 
 
 
 
 
0
3
3
0
3
0
0
3
1
2
2
1
2
1
1
2
3
0
0
3
0
3
3
0
2
1
1
2
1
2
2
1
0
3
3
0
3
0
0
3
1
2
2
1
2
1
1
2
3
0
0
3
0
3
3
0
2
1
1
2
1
2
2
1
0
3
3
0
3
0
0
3
1
2
2
1
2
1
1
2
3
0
0
3
0
3
3
0
2
1
1
2
1
2
2
1
0
3
3
0
3
0
0
3
1
2
2
1
2
1
1
2
3
0
0
3
0
3
3
0
2
1
1
2
1
2
2
1
0
3
3
0
3
0
0
3
1
2
2
1
2
1
1
2
3
0
0
3
0
3
3
0
2
1
1
2
1
2
2
1
0
3
3
0
3
0
0
3
1
2
2
1
2
1
1
2
3
0
0
3
0
3
3
0
2
1
1
2
1
2
2
1
0
3
3
0
3
0
0
3
1
2
2
1
2
1
1
2
3
0
0
3
0
3
3
0
2
1
1
2
1
2
2
1
0
3
3
0
3
0
0
3
1
2
2
1
2
1
1
2
3
0
0
3
0
3
3
0
2
1
1
2
1
2
2
1
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
+ 64x digit from fixed grid 2
 
 
 
 
 
 
 
 
 
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
3
0
3
0
3
0
3
0
3
0
3
0
3
0
3
0
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
= most perfect magic 16x16 square
 
 
 
 
 
 
 
15
246
60
193
63
198
12
241
31
230
44
209
47
214
28
225
244
9
199
62
196
57
247
14
228
25
215
46
212
41
231
30
197
64
242
11
245
16
194
59
213
48
226
27
229
32
210
43
58
195
13
248
10
243
61
200
42
211
29
232
26
227
45
216
207
54
252
1
255
6
204
49
223
38
236
17
239
22
220
33
52
201
7
254
4
249
55
206
36
217
23
238
20
233
39
222
5
256
50
203
53
208
2
251
21
240
34
219
37
224
18
235
250
3
205
56
202
51
253
8
234
19
221
40
218
35
237
24
79
182
124
129
127
134
76
177
95
166
108
145
111
150
92
161
180
73
135
126
132
121
183
78
164
89
151
110
148
105
167
94
133
128
178
75
181
80
130
123
149
112
162
91
165
96
146
107
122
131
77
184
74
179
125
136
106
147
93
168
90
163
109
152
143
118
188
65
191
70
140
113
159
102
172
81
175
86
156
97
116
137
71
190
68
185
119
142
100
153
87
174
84
169
103
158
69
192
114
139
117
144
66
187
85
176
98
155
101
160
82
171
186
67
141
120
138
115
189
72
170
83
157
104
154
99
173
88
 
 
Notify that the most perfect 16x16 magic square has the extra magic feature X (discovered by Willem
Barink; see page ‘most perfect magic square, explanation’).




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Magic squares|Contact / guestbook|Most magic square per order|3x3 magic square|3x3 magic square, explanation|Sudoku method (1)|Sudoku method (2)|Sudoku method (3)|Pan magic 4x4 square|Pan magic 4x4 square, explanation|Pan magic 4x4 square, binary|Dürer & Franklin transformation|Transformation method|Transformation method, analysis|[ultra] pan magic 5x5 square|Pan magic 5x5 square, explanation|6x6 magic square|Ultra (pan)magic 8x8 square|Most perfect magic squares, explanation|8x8 most perfect magic squares, binary|Khajuraho method|Khajuraho method, explanation|Basic pattern method (1a)|Basic pattern method (1b)|Basic pattern method (2)|Basic pattern method (3a)|Basic pattern method (3b)|Basic pattern method (3c)|Basic pattern method (4)|Basic pattern method (5)|Basic pattern method (6)|Basic pattern method (7a)|Basic pattern method (7b)|Analysis Franklin panm. 8x8 (1)|Analysis Franklin panm. 8x8 (2)|Basic key method (1)|Basic key method (2)|Quadrant method (Willem Barink)|Quadrant method group 1 up to 5|Quadrant method group 6 up to 10|Quadrant method group 11 up to 19|[ultra] pan magic 9x9 square (1)|pan magic 9x9 square (2)|pan magic 9x9 square (3)|3x extra magic 9x9 square|10x10 magic square|Composite 12x12 magic square|14x14 magic square|[Ultra] pan magic 15x15 square|3x extra magic 15x15 square|The perfect magic square|3x extra magic 18x18 square|Ultra pan magic 25x25 square|[ultra] pan magic 27x27 square|[ultra] pan magic 35x35 square|extra magic 35x35 square|Bordered squares|Inlaid square (1)|Inlaid square (2)|Each magic sum|Water retention challenge|Most magic 4x4x4 cube|symmetric & semi (pan)magic 5x5x5 cube|Symmetric & panmagic 7x7x7 cube|Perfect (Nasik) & compact 8x8x8 cube|[More than] perfect magic 9x9x9 cube|Perfect (Nasik) magic 11x11x11 cube|Perfect (Nasik) magic 15x15x15 cube|Trick with 8x8 bimagic square|Favorite Links