19x19 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:

 

 

19x19 concentric magic square with diamond

102

252

250

248

116

244

120

240

124

1

236

128

232

132

228

136

224

170

256

140

50

308

56

302

62

298

66

343

357

15

294

70

290

74

286

154

52

222

220

78

344

24

26

334

30

39

349

59

55

345

330

328

326

104

22

284

142

218

282

38

4

348

16

51

47

43

329

331

335

339

342

162

6

324

80

144

146

82

322

354

360

97

269

273

277

281

79

69

65

61

160

8

40

280

216

214

278

42

10

63

119

261

257

253

117

121

125

129

247

299

352

320

84

148

150

86

318

341

67

131

143

133

137

217

213

209

215

231

295

21

44

276

212

152

274

35

337

71

127

227

199

191

161

159

195

135

235

291

25

327

88

210

156

355

279

333

75

123

223

169

175

189

179

193

139

239

287

29

83

7

206

359

9

73

37

77

249

221

165

185

181

177

197

141

113

285

325

289

353

3

204

351

53

41

275

251

151

205

183

173

187

157

211

111

87

321

309

11

158

164

90

305

45

271

255

155

167

171

201

203

163

207

107

91

317

57

272

198

196

270

46

49

267

259

147

229

225

145

149

153

219

103

95

313

316

92

166

172

94

48

350

263

115

101

105

109

245

241

237

233

243

99

12

314

268

190

188

98

304

96

202

265

93

89

85

81

283

293

297

301

2

266

58

264

174

186

262

168

356

14

346

311

315

319

33

31

27

23

20

200

358

194

100

176

184

108

340

338

336

28

332

323

13

303

307

17

32

34

36

258

18

254

178

182

310

54

306

60

300

64

296

19

5

347

68

292

72

288

76

208

312

180

106

110

112

114

246

118

242

122

238

361

126

234

130

230

134

226

138

192

260

 

 

Puzzle yourself using the EXCEL download below.

 

Download
Al Antaakii 19x19.xls
Microsoft Excel werkblad 72.5 KB

 

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

3x35x57x79x911x1113x1315x1517x1719x1921x2123x2325x2527x2729x29 and 31x31