21x21 concentric magic square with diamond

 

A concentric magic square is nice. A concentric magic square with diamond is even better; see i.e. the 15x15 Al Antaakii concentric magic square with diamond. In the diamond are alle odd numbers (and outside the diamond are the even numbers).

 

How to construct a concentric magic square with diamond? Puzzle in EXCEL and see the result below:

 

 

21x21 concentric magic square with diamond

134

304

302

142

298

146

294

150

290

154

1

286

158

282

162

278

168

272

270

244

306

176

76

80

360

84

356

88

352

92

79

343

387

348

96

344

100

102

338

210

364

266

178

336

34

38

402

42

398

46

5

435

9

431

13

394

50

390

388

276

406

106

264

262

108

386

10

14

426

18

25

415

29

411

33

407

37

422

420

218

430

56

334

180

182

332

58

418

2

436

95

91

87

83

73

371

375

379

383

60

438

24

384

110

260

258

112

380

26

434

319

305

309

313

317

321

113

109

105

101

119

8

416

62

330

184

186

328

378

414

385

103

159

301

297

293

157

161

165

169

287

339

57

28

64

114

256

254

124

376

39

381

107

171

183

173

177

257

253

249

255

271

335

61

403

66

318

188

190

324

15

401

377

111

167

267

239

231

201

199

235

175

275

331

65

41

427

118

252

250

367

425

399

373

115

163

263

209

215

229

219

233

179

279

327

69

43

17

75

192

439

389

19

397

365

117

289

261

205

225

221

217

237

181

153

325

77

45

423

53

3

194

97

421

47

81

315

291

191

245

223

213

227

197

251

151

127

361

395

21

345

248

246

120

23

393

85

311

295

195

207

211

241

243

203

247

147

131

357

49

419

322

196

200

320

68

51

89

307

299

187

269

265

185

189

193

259

143

135

353

391

374

122

242

240

126

372

30

93

303

155

141

145

149

285

281

277

273

283

139

349

412

70

316

202

236

314

72

410

204

323

137

133

129

125

121

329

333

337

341

123

238

32

370

128

206

230

130

368

268

4

6

347

351

355

359

369

71

67

63

59

382

440

174

74

312

212

214

310

326

12

428

16

424

417

27

413

31

409

35

405

20

22

224

432

116

132

228

216

208

36

404

40

400

44

396

437

7

433

11

429

48

392

52

54

166

408

234

226

220

78

362

82

358

86

354

90

350

363

99

55

94

346

98

342

340

104

232

366

222

136

138

140

300

144

296

148

292

152

288

441

156

284

160

280

164

274

170

172

198

308

 

 

Puzzle yourself using the EXCEL download below.

 

Download
Al Antaakii 21x21.xls
Microsoft Excel werkblad 82.5 KB

 

For each magic square of odd order, you can construct a concentric magic square with diamond. See on this website:

3x35x57x79x911x1113x1315x1517x1719x1921x2123x2325x2527x2729x29 and 31x31