Diagonal method of Yang Hui - Magisch vierkant

9x9 magic square

Diagonal method of Yang Hui

A ‘trick’ to construct the 9x9 magic square is the diagonal method of Yang Hui:

								1
							10		2
						19		11		3
					28		20		12		4
				37		29		21		13		5
			46		38		30		22		14		6
		55		47		39		31		23		15		7
	64		56		48		40		32		24		16		8
73		65		57		49		41		33		25		17		9
	74		66		58		50		42		34		26		18
		75		67		59		51		43		35		27
			76		68		60		52		44		36
				77		69		61		53		45
					78		70		62		54
						79		71		63
							80		72
								81

				37	78	29	70	21	62	13	54	5
				6	38	79	30	71	22	63	14	46
				47	7	39	80	31	72	23	55	15
				16	48	8	40	81	32	64	24	56
				57	17	49	9	41	73	33	65	25
				26	58	18	50	1	42	74	34	66
				67	27	59	10	51	2	43	75	35
				36	68	19	60	11	52	3	44	76
				77	28	69	20	61	12	53	4	45

You can use this method to construct magic squares of odd order from 3x3 to infinite and you get symmetric (but not pan)magic squares.

See 3x3, 5x5, 7x7, 9x9, 11x11, 13x13, 15x15, 17x17, 19x19, 21x21, 23x23, 25x25, 27x27, 29x29 and 31x31

9x9, Diagonal method of Yang Hui.xls

Microsoft Excel werkblad 10.6 KB

9x9 magic square