Al Antaakii 15x15 concentric magic square with diamond

 

Paul Michelet pointed out to me the al-Antaakii concentric 15x15 magic square with the extra diamond feature from the year 987 (!!!); see youtube video of Gresham College:

http://www.youtube.com/watch?v=YUsSaGnbcCw 
 

 

62

2

222

220

8

10

214

213

212

16

18

206

204

24

64

126

78

26

198

196

32

11

189

207

34

190

188

40

80

100

128

122

94

42

182

7

35

173

183

203

180

48

96

104

98

50

124

118

110

3

31

51

165

167

179

199

112

108

102

176

52

70

120

201

75

159

155

153

83

87

79

25

106

156

174

54

72

205

181

141

95

135

133

103

99

85

45

21

154

172

170

209

185

169

145

125

111

121

107

101

81

57

41

17

56

211

187

171

163

149

129

109

113

117

97

77

63

55

39

15

168

9

33

49

69

89

119

105

115

137

157

177

193

217

58

60

82

5

29

65

127

91

93

123

131

161

197

221

144

166

66

142

90

1

147

67

71

73

143

139

151

225

136

84

160

158

140

92

114

223

195

175

61

59

47

27

116

134

86

68

152

88

130

184

44

219

191

53

43

23

46

178

132

138

74

76

146

200

28

30

194

215

37

19

192

36

38

186

148

150

162

224

4

6

218

216

12

13

14

210

208

20

22

202

164

 


The white diamond contains all odd numbers!!!

 

Download
15x15, Al Antaakii concentric magic squa
Microsoft Excel werkblad 66.5 KB

 

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

3x35x57x79x911x1113x1315x1517x1719x1921x2123x2325x2527x2729x29 and 31x31