7x7x7 panmagic & symmetric cube (shift method)

 

Use the same method to construct the panmagic 5x5 square (shift) to construct a symmetric & panmagic 7x7x7 cube.
 
Choose as first row of the first grid in the first level: 3-4-5-6-0-1-2. Construct row 2 up to 7 of the first grid of the first level by shifting the first row each time 4 places to the left. Construct the first grid of level 2 up to 7 by shifting the columns of the first grid of the first level each time 2 places to the left.
 
Choose as first row of the second grid in the first level: 6-0-1-2-3-4-5. Construct row 2 up to 7 of the second grid of the first level by shifting the first row each time 4 places to the right. Construct the second grid of level 2 up to 7 by shifting the columns of the second grid of the first level each time 2 places to the left.
 
The third grid is the same as the second grid, but the levels are put in reversed order (7 up to 1 instead of 1 up to 7).
 
Take 1x digit from first grid + 7x digit from second grid + 49x digit from third grid to get a symmetric & panmagic 7x7x7 cube.

  

 

1x digit +1 [level 1]           +   7x digit [Level 1]                +    49x digit [Level 1]

3

4

5

6

0

1

2

   

6

0

1

2

3

4

5

   

4

5

6

0

1

2

3

0

1

2

3

4

5

6

   

2

3

4

5

6

0

1

   

0

1

2

3

4

5

6

4

5

6

0

1

2

3

   

5

6

0

1

2

3

4

   

3

4

5

6

0

1

2

1

2

3

4

5

6

0

   

1

2

3

4

5

6

0

   

6

0

1

2

3

4

5

5

6

0

1

2

3

4

   

4

5

6

0

1

2

3

   

2

3

4

5

6

0

1

2

3

4

5

6

0

1

   

0

1

2

3

4

5

6

   

5

6

0

1

2

3

4

6

0

1

2

3

4

5

   

3

4

5

6

0

1

2

   

1

2

3

4

5

6

0

 

 

 

 1x digit +1 [level 2]           +   7x digit [Level 2]                +    49x digit [Level 2]

5

6

0

1

2

3

4

   

1

2

3

4

5

6

0

   

2

3

4

5

6

0

1

2

3

4

5

6

0

1

   

4

5

6

0

1

2

3

   

5

6

0

1

2

3

4

6

0

1

2

3

4

5

   

0

1

2

3

4

5

6

   

1

2

3

4

5

6

0

3

4

5

6

0

1

2

   

3

4

5

6

0

1

2

   

4

5

6

0

1

2

3

0

1

2

3

4

5

6

   

6

0

1

2

3

4

5

   

0

1

2

3

4

5

6

4

5

6

0

1

2

3

   

2

3

4

5

6

0

1

   

3

4

5

6

0

1

2

1

2

3

4

5

6

0

   

5

6

0

1

2

3

4

   

6

0

1

2

3

4

5

 

 

 

 1x digit +1 [level 3]           +   7x digit [Level 3]                +    49x digit [Level 3]

0

1

2

3

4

5

6

   

3

4

5

6

0

1

2

   

0

1

2

3

4

5

6

4

5

6

0

1

2

3

   

6

0

1

2

3

4

5

   

3

4

5

6

0

1

2

1

2

3

4

5

6

0

   

2

3

4

5

6

0

1

   

6

0

1

2

3

4

5

5

6

0

1

2

3

4

   

5

6

0

1

2

3

4

   

2

3

4

5

6

0

1

2

3

4

5

6

0

1

   

1

2

3

4

5

6

0

   

5

6

0

1

2

3

4

6

0

1

2

3

4

5

   

4

5

6

0

1

2

3

   

1

2

3

4

5

6

0

3

4

5

6

0

1

2

   

0

1

2

3

4

5

6

   

4

5

6

0

1

2

3

 

 

 

 1x digit +1 [level 4]           +   7x digit [Level 4]                +    49x digit [Level 4]

2

3

4

5

6

0

1

   

5

6

0

1

2

3

4

   

5

6

0

1

2

3

4

6

0

1

2

3

4

5

   

1

2

3

4

5

6

0

   

1

2

3

4

5

6

0

3

4

5

6

0

1

2

   

4

5

6

0

1

2

3

   

4

5

6

0

1

2

3

0

1

2

3

4

5

6

   

0

1

2

3

4

5

6

   

0

1

2

3

4

5

6

4

5

6

0

1

2

3

   

3

4

5

6

0

1

2

   

3

4

5

6

0

1

2

1

2

3

4

5

6

0

   

6

0

1

2

3

4

5

   

6

0

1

2

3

4

5

5

6

0

1

2

3

4

   

2

3

4

5

6

0

1

   

2

3

4

5

6

0

1

 

 

 

 1x digit +1 [level 5]           +   7x digit [Level 5]                +    49x digit [Level 5]

4

5

6

0

1

2

3

   

0

1

2

3

4

5

6

   

3

4

5

6

0

1

2

1

2

3

4

5

6

0

   

3

4

5

6

0

1

2

   

6

0

1

2

3

4

5

5

6

0

1

2

3

4

   

6

0

1

2

3

4

5

   

2

3

4

5

6

0

1

2

3

4

5

6

0

1

   

2

3

4

5

6

0

1

   

5

6

0

1

2

3

4

6

0

1

2

3

4

5

   

5

6

0

1

2

3

4

   

1

2

3

4

5

6

0

3

4

5

6

0

1

2

   

1

2

3

4

5

6

0

   

4

5

6

0

1

2

3

0

1

2

3

4

5

6

   

4

5

6

0

1

2

3

   

0

1

2

3

4

5

6

 

 

 

 1x digit +1 [level 6]           +   7x digit [Level 6]                +    49x digit [Level 6]

6

0

1

2

3

4

5

   

2

3

4

5

6

0

1

   

1

2

3

4

5

6

0

3

4

5

6

0

1

2

   

5

6

0

1

2

3

4

   

4

5

6

0

1

2

3

0

1

2

3

4

5

6

   

1

2

3

4

5

6

0

   

0

1

2

3

4

5

6

4

5

6

0

1

2

3

   

4

5

6

0

1

2

3

   

3

4

5

6

0

1

2

1

2

3

4

5

6

0

   

0

1

2

3

4

5

6

   

6

0

1

2

3

4

5

5

6

0

1

2

3

4

   

3

4

5

6

0

1

2

   

2

3

4

5

6

0

1

2

3

4

5

6

0

1

   

6

0

1

2

3

4

5

   

5

6

0

1

2

3

4

 

 

 

 1x digit +1 [level 7]           +   7x digit [Level 7]                +    49x digit [Level 7]

1

2

3

4

5

6

0

   

4

5

6

0

1

2

3

   

6

0

1

2

3

4

5

5

6

0

1

2

3

4

   

0

1

2

3

4

5

6

   

2

3

4

5

6

0

1

2

3

4

5

6

0

1

   

3

4

5

6

0

1

2

   

5

6

0

1

2

3

4

6

0

1

2

3

4

5

   

6

0

1

2

3

4

5

   

1

2

3

4

5

6

0

3

4

5

6

0

1

2

   

2

3

4

5

6

0

1

   

4

5

6

0

1

2

3

0

1

2

3

4

5

6

   

5

6

0

1

2

3

4

   

0

1

2

3

4

5

6

4

5

6

0

1

2

3

   

1

2

3

4

5

6

0

   

3

4

5

6

0

1

2

 

= 

Sym. & panm. 7x7x7 [Level 1]

242

250

307

21

71

128

185

15

72

129

186

243

251

308

187

244

252

302

16

73

130

303

17

74

131

188

245

246

132

189

239

247

304

18

75

248

305

19

76

133

183

240

77

127

184

241

249

306

20

             
             

Sym. & panm. 7x7x7 [Level 2]

111

168

218

275

332

46

54

276

333

47

55

112

162

219

56

106

163

220

277

334

48